Duality quantum computer and the efficient quantum simulations View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2016-03

AUTHORS

Shi-Jie Wei, Gui-Lu Long

ABSTRACT

Duality quantum computing is a new mode of a quantum computer to simulate a moving quantum computer passing through a multi-slit. It exploits the particle wave duality property for computing. A quantum computer with n qubits and a qudit simulates a moving quantum computer with n qubits passing through a d-slit. Duality quantum computing can realize an arbitrary sum of unitaries and therefore a general quantum operator, which is called a generalized quantum gate. All linear bounded operators can be realized by the generalized quantum gates, and unitary operators are just the extreme points of the set of generalized quantum gates. Duality quantum computing provides flexibility and a clear physical picture in designing quantum algorithms, and serves as a powerful bridge between quantum and classical algorithms. In this paper, after a brief review of the theory of duality quantum computing, we will concentrate on the applications of duality quantum computing in simulations of Hamiltonian systems. We will show that duality quantum computing can efficiently simulate quantum systems by providing descriptions of the recent efficient quantum simulation algorithm of Childs and Wiebe (Quantum Inf Comput 12(11–12):901–924, 2012) for the fast simulation of quantum systems with a sparse Hamiltonian, and the quantum simulation algorithm by Berry et al. (Phys Rev Lett 114:090502, 2015), which provides exponential improvement in precision for simulating systems with a sparse Hamiltonian. More... »

PAGES

1189-1212

References to SciGraph publications

  • 2012-12. Quantum Simulation of Tunneling in Small Systems in SCIENTIFIC REPORTS
  • 2013-12. Experimental simulation of quantum tunneling in small systems in SCIENTIFIC REPORTS
  • 1999-10. Extrapolation of symplectic Integrators in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1982-06. Simulating physics with computers in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 2008-06. Duality quantum computing in FRONTIERS OF COMPUTER SCIENCE IN CHINA
  • 2010-07. Restricted allowable generalized quantum gates in SCIENCE BULLETIN
  • 2011-05. Experimental implementation of a fixed-point duality quantum search algorithm in the nuclear magnetic resonance quantum system in SCIENCE CHINA PHYSICS, MECHANICS & ASTRONOMY
  • 2015-01. Experimental digital quantum simulation of temporal–spatial dynamics of interacting fermion system in SCIENCE BULLETIN
  • 2014-07. Realization of Kraus operators and POVM measurements using a duality quantum computer in SCIENCE BULLETIN
  • 2008-01. Duality Quantum Computers and Quantum Operations in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 2011-04. Duality Quantum Computing and Duality Quantum Information Processing in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 2009-02. On mathematical theory of the duality computers in QUANTUM INFORMATION PROCESSING
  • 2012-12. Complex duality quantum computers acting on pure and mixed states in SCIENCE CHINA PHYSICS, MECHANICS & ASTRONOMY
  • 2010-09. An N/4 fixed-point duality quantum search algorithm in SCIENCE CHINA PHYSICS, MECHANICS & ASTRONOMY
  • 2012-04. Density matrix formalism of duality quantum computer and the solution of zero-wave-function paradox in QUANTUM INFORMATION PROCESSING
  • 2013-08. Deleting a marked state in quantum database in a duality computing mode in SCIENCE BULLETIN
  • 2010-10. Realization of allowable qeneralized quantum gates in SCIENCE CHINA PHYSICS, MECHANICS & ASTRONOMY
  • 2007-02. Mathematical Theory of the Duality Computer in the Density Matrix Formalism in QUANTUM INFORMATION PROCESSING
  • 2011-05-12. Quantum annealing with manufactured spins in NATURE
  • 2009-06. A Note on the Extreme Points of Positive Quantum Operations in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 2008-09. Note on Generalized Quantum Gates and Quantum Operations in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 2015-11. Generalized duality quantum computers acting on mixed states in QUANTUM INFORMATION PROCESSING
  • 1982-10. A single quantum cannot be cloned in NATURE
  • 2013-06. Mathematical Theory of Generalized Duality Quantum Computers Acting on Vector-States in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 2007-02. Mathematical Theory of Duality Quantum Computers in QUANTUM INFORMATION PROCESSING
  • 2013-05. Quantum search with certainty based on modified Grover algorithms: optimum choice of parameters in QUANTUM INFORMATION PROCESSING
  • 1980-05. The computer as a physical system: A microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines in JOURNAL OF STATISTICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11128-016-1263-6

    DOI

    http://dx.doi.org/10.1007/s11128-016-1263-6

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1017490120


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0206", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Quantum Physics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/02", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Physical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Tsinghua University", 
              "id": "https://www.grid.ac/institutes/grid.12527.33", 
              "name": [
                "State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, 100084, Beijing, China"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Wei", 
            "givenName": "Shi-Jie", 
            "id": "sg:person.010062661300.69", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010062661300.69"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Collaborative Innovation Center of Quantum Matter", 
              "id": "https://www.grid.ac/institutes/grid.495569.2", 
              "name": [
                "State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, 100084, Beijing, China", 
                "Tsinghua National Laboratory for Information Science and Technology, 100084, Beijing, China", 
                "Collaborative Innovation Center of Quantum Matter, 100084, Beijing, China"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Long", 
            "givenName": "Gui-Lu", 
            "id": "sg:person.0704065453.79", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0704065453.79"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/s11433-012-4916-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000815420", 
              "https://doi.org/10.1007/s11433-012-4916-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11433-010-4079-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001201787", 
              "https://doi.org/10.1007/s11433-010-4079-x"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1098/rspa.2005.1546", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002019445"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1098/rspa.2005.1546", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002019445"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.79.325", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002540107"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.79.325", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002540107"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11128-015-1112-z", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003851506", 
              "https://doi.org/10.1007/s11128-015-1112-z"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1038/nature10012", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005700592", 
              "https://doi.org/10.1038/nature10012"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1038/299802a0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005824196", 
              "https://doi.org/10.1038/299802a0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreva.71.042312", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005949653"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreva.71.042312", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005949653"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1145/780542.780552", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006574725"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11704-008-0021-z", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006978696", 
              "https://doi.org/10.1007/s11704-008-0021-z"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.114.090502", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007672926"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.114.090502", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007672926"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01011339", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008923572", 
              "https://doi.org/10.1007/bf01011339"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10773-012-1225-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011768444", 
              "https://doi.org/10.1007/s10773-012-1225-4"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1080/09500340903180517", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1012405904"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11128-011-0243-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013883105", 
              "https://doi.org/10.1007/s11128-011-0243-0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0253-6102/50/6/11", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014513643"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevx.6.031015", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1015080054"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevx.6.031015", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1015080054"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11433-011-4327-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1015806270", 
              "https://doi.org/10.1007/s11433-011-4327-8"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1038/srep00597", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017170348", 
              "https://doi.org/10.1038/srep00597"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0253-6102/47/3/019", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018320239"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11128-006-0042-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019080511", 
              "https://doi.org/10.1007/s11128-006-0042-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1145/602382.602408", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020010815"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10773-009-9939-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020718844", 
              "https://doi.org/10.1007/s10773-009-9939-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/revmodphys.80.1061", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1021011530"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/revmodphys.80.1061", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1021011530"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11128-006-0040-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1021611502", 
              "https://doi.org/10.1007/s11128-006-0040-3"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1145/780542.780546", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025044821"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10773-010-0603-z", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030068232", 
              "https://doi.org/10.1007/s10773-010-0603-z"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11434-014-0712-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032781576", 
              "https://doi.org/10.1007/s11434-014-0712-9"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10773-007-9512-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034260243", 
              "https://doi.org/10.1007/s10773-007-9512-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.58.5355", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034364415"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.58.5355", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034364415"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0375-9601(82)90084-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034398217"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0375-9601(82)90084-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034398217"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1080/09500340.2010.493245", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035742102"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02650179", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1038336282", 
              "https://doi.org/10.1007/bf02650179"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1008364504014", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042149281", 
              "https://doi.org/10.1023/a:1008364504014"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1098/rsta.2012.0053", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042437269"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11434-013-5925-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043125984", 
              "https://doi.org/10.1007/s11434-013-5925-9"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11433-010-4078-y", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044534328", 
              "https://doi.org/10.1007/s11433-010-4078-y"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11128-008-0093-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044792298", 
              "https://doi.org/10.1007/s11128-008-0093-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1038/srep02232", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044980597", 
              "https://doi.org/10.1038/srep02232"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0079-6727(99)00003-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045349780"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10773-008-9659-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045818366", 
              "https://doi.org/10.1007/s10773-008-9659-4"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11128-012-0498-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045865892", 
              "https://doi.org/10.1007/s11128-012-0498-0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1751-8113/45/44/444011", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046604355"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0957-0233/8/11/003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048385323"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.110.190501", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049478002"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.110.190501", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049478002"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1145/2591796.2591854", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051786517"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11434-014-0334-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052235356", 
              "https://doi.org/10.1007/s11434-014-0334-2"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11434-010-3221-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053140789", 
              "https://doi.org/10.1007/s11434-010-3221-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11434-010-3221-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053140789", 
              "https://doi.org/10.1007/s11434-010-3221-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreva.64.022307", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053603168"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreva.64.022307", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053603168"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.1495072", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1057712559"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.2827468", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1057876241"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.529425", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1058106440"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0253-6102/49/1/23", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059044518"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0253-6102/50/4/24", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059045025"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0253-6102/51/1/13", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059045146"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0253-6102/53/1/17", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059045563"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0253-6102/53/1/17", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059045563"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0256-307x/28/1/010306", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059057974"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreva.56.4456", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060493240"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreva.56.4456", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060493240"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.39.11828", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060548703"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.39.11828", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060548703"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1119/1.19280", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062238864"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1126/science.273.5278.1073", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062553940"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1137/s0097539795293172", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062880065"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/s0217979212430047", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062938065"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.15672/hjms.201447455", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1068029878"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2016-03", 
        "datePublishedReg": "2016-03-01", 
        "description": "Duality quantum computing is a new mode of a quantum computer to simulate a moving quantum computer passing through a multi-slit. It exploits the particle wave duality property for computing. A quantum computer with n qubits and a qudit simulates a moving quantum computer with n qubits passing through a d-slit. Duality quantum computing can realize an arbitrary sum of unitaries and therefore a general quantum operator, which is called a generalized quantum gate. All linear bounded operators can be realized by the generalized quantum gates, and unitary operators are just the extreme points of the set of generalized quantum gates. Duality quantum computing provides flexibility and a clear physical picture in designing quantum algorithms, and serves as a powerful bridge between quantum and classical algorithms. In this paper, after a brief review of the theory of duality quantum computing, we will concentrate on the applications of duality quantum computing in simulations of Hamiltonian systems. We will show that duality quantum computing can efficiently simulate quantum systems by providing descriptions of the recent efficient quantum simulation algorithm of Childs and Wiebe (Quantum Inf Comput 12(11\u201312):901\u2013924, 2012) for the fast simulation of quantum systems with a sparse Hamiltonian, and the quantum simulation algorithm by Berry et al. (Phys Rev Lett 114:090502, 2015), which provides exponential improvement in precision for simulating systems with a sparse Hamiltonian.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s11128-016-1263-6", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isFundedItemOf": [
          {
            "id": "sg:grant.7188998", 
            "type": "MonetaryGrant"
          }, 
          {
            "id": "sg:grant.6976555", 
            "type": "MonetaryGrant"
          }
        ], 
        "isPartOf": [
          {
            "id": "sg:journal.1052742", 
            "issn": [
              "1570-0755", 
              "1573-1332"
            ], 
            "name": "Quantum Information Processing", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "3", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "15"
          }
        ], 
        "name": "Duality quantum computer and the efficient quantum simulations", 
        "pagination": "1189-1212", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "5354733ce429f9e8ab1da958b7e773d69cf34cac54b30787b6f262bd6ea3c8ef"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s11128-016-1263-6"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1017490120"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s11128-016-1263-6", 
          "https://app.dimensions.ai/details/publication/pub.1017490120"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-10T14:12", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8660_00000521.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007%2Fs11128-016-1263-6"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s11128-016-1263-6'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s11128-016-1263-6'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s11128-016-1263-6'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s11128-016-1263-6'


     

    This table displays all metadata directly associated to this object as RDF triples.

    296 TRIPLES      21 PREDICATES      91 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s11128-016-1263-6 schema:about anzsrc-for:02
    2 anzsrc-for:0206
    3 schema:author N6301e7691e6449168e9591470c535bfe
    4 schema:citation sg:pub.10.1007/bf01011339
    5 sg:pub.10.1007/bf02650179
    6 sg:pub.10.1007/s10773-007-9512-1
    7 sg:pub.10.1007/s10773-008-9659-4
    8 sg:pub.10.1007/s10773-009-9939-7
    9 sg:pub.10.1007/s10773-010-0603-z
    10 sg:pub.10.1007/s10773-012-1225-4
    11 sg:pub.10.1007/s11128-006-0040-3
    12 sg:pub.10.1007/s11128-006-0042-1
    13 sg:pub.10.1007/s11128-008-0093-6
    14 sg:pub.10.1007/s11128-011-0243-0
    15 sg:pub.10.1007/s11128-012-0498-0
    16 sg:pub.10.1007/s11128-015-1112-z
    17 sg:pub.10.1007/s11433-010-4078-y
    18 sg:pub.10.1007/s11433-010-4079-x
    19 sg:pub.10.1007/s11433-011-4327-8
    20 sg:pub.10.1007/s11433-012-4916-1
    21 sg:pub.10.1007/s11434-010-3221-5
    22 sg:pub.10.1007/s11434-013-5925-9
    23 sg:pub.10.1007/s11434-014-0334-2
    24 sg:pub.10.1007/s11434-014-0712-9
    25 sg:pub.10.1007/s11704-008-0021-z
    26 sg:pub.10.1023/a:1008364504014
    27 sg:pub.10.1038/299802a0
    28 sg:pub.10.1038/nature10012
    29 sg:pub.10.1038/srep00597
    30 sg:pub.10.1038/srep02232
    31 https://doi.org/10.1016/0375-9601(82)90084-6
    32 https://doi.org/10.1016/s0079-6727(99)00003-8
    33 https://doi.org/10.1063/1.1495072
    34 https://doi.org/10.1063/1.2827468
    35 https://doi.org/10.1063/1.529425
    36 https://doi.org/10.1080/09500340.2010.493245
    37 https://doi.org/10.1080/09500340903180517
    38 https://doi.org/10.1088/0253-6102/47/3/019
    39 https://doi.org/10.1088/0253-6102/49/1/23
    40 https://doi.org/10.1088/0253-6102/50/4/24
    41 https://doi.org/10.1088/0253-6102/50/6/11
    42 https://doi.org/10.1088/0253-6102/51/1/13
    43 https://doi.org/10.1088/0253-6102/53/1/17
    44 https://doi.org/10.1088/0256-307x/28/1/010306
    45 https://doi.org/10.1088/0957-0233/8/11/003
    46 https://doi.org/10.1088/1751-8113/45/44/444011
    47 https://doi.org/10.1098/rspa.2005.1546
    48 https://doi.org/10.1098/rsta.2012.0053
    49 https://doi.org/10.1103/physreva.56.4456
    50 https://doi.org/10.1103/physreva.64.022307
    51 https://doi.org/10.1103/physreva.71.042312
    52 https://doi.org/10.1103/physrevb.39.11828
    53 https://doi.org/10.1103/physreve.58.5355
    54 https://doi.org/10.1103/physrevlett.110.190501
    55 https://doi.org/10.1103/physrevlett.114.090502
    56 https://doi.org/10.1103/physrevlett.79.325
    57 https://doi.org/10.1103/physrevx.6.031015
    58 https://doi.org/10.1103/revmodphys.80.1061
    59 https://doi.org/10.1119/1.19280
    60 https://doi.org/10.1126/science.273.5278.1073
    61 https://doi.org/10.1137/s0097539795293172
    62 https://doi.org/10.1142/s0217979212430047
    63 https://doi.org/10.1145/2591796.2591854
    64 https://doi.org/10.1145/602382.602408
    65 https://doi.org/10.1145/780542.780546
    66 https://doi.org/10.1145/780542.780552
    67 https://doi.org/10.15672/hjms.201447455
    68 schema:datePublished 2016-03
    69 schema:datePublishedReg 2016-03-01
    70 schema:description Duality quantum computing is a new mode of a quantum computer to simulate a moving quantum computer passing through a multi-slit. It exploits the particle wave duality property for computing. A quantum computer with n qubits and a qudit simulates a moving quantum computer with n qubits passing through a d-slit. Duality quantum computing can realize an arbitrary sum of unitaries and therefore a general quantum operator, which is called a generalized quantum gate. All linear bounded operators can be realized by the generalized quantum gates, and unitary operators are just the extreme points of the set of generalized quantum gates. Duality quantum computing provides flexibility and a clear physical picture in designing quantum algorithms, and serves as a powerful bridge between quantum and classical algorithms. In this paper, after a brief review of the theory of duality quantum computing, we will concentrate on the applications of duality quantum computing in simulations of Hamiltonian systems. We will show that duality quantum computing can efficiently simulate quantum systems by providing descriptions of the recent efficient quantum simulation algorithm of Childs and Wiebe (Quantum Inf Comput 12(11–12):901–924, 2012) for the fast simulation of quantum systems with a sparse Hamiltonian, and the quantum simulation algorithm by Berry et al. (Phys Rev Lett 114:090502, 2015), which provides exponential improvement in precision for simulating systems with a sparse Hamiltonian.
    71 schema:genre research_article
    72 schema:inLanguage en
    73 schema:isAccessibleForFree true
    74 schema:isPartOf Nae4cfac3cdf7437386a0456c67146bb0
    75 Nc483f616a85b467c9dd303b092ffd21d
    76 sg:journal.1052742
    77 schema:name Duality quantum computer and the efficient quantum simulations
    78 schema:pagination 1189-1212
    79 schema:productId N17a2bad96f4e4b8a95439a827292ece9
    80 N29675d04734240d8a0c1a0b1f67427b0
    81 N411a1802700c49d49d40f44739087b6f
    82 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017490120
    83 https://doi.org/10.1007/s11128-016-1263-6
    84 schema:sdDatePublished 2019-04-10T14:12
    85 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    86 schema:sdPublisher N9d7959cd24a84cda859b810b50efc7b1
    87 schema:url http://link.springer.com/10.1007%2Fs11128-016-1263-6
    88 sgo:license sg:explorer/license/
    89 sgo:sdDataset articles
    90 rdf:type schema:ScholarlyArticle
    91 N17a2bad96f4e4b8a95439a827292ece9 schema:name readcube_id
    92 schema:value 5354733ce429f9e8ab1da958b7e773d69cf34cac54b30787b6f262bd6ea3c8ef
    93 rdf:type schema:PropertyValue
    94 N29675d04734240d8a0c1a0b1f67427b0 schema:name dimensions_id
    95 schema:value pub.1017490120
    96 rdf:type schema:PropertyValue
    97 N411a1802700c49d49d40f44739087b6f schema:name doi
    98 schema:value 10.1007/s11128-016-1263-6
    99 rdf:type schema:PropertyValue
    100 N6301e7691e6449168e9591470c535bfe rdf:first sg:person.010062661300.69
    101 rdf:rest N69262b5faaa9423b9f7303ddae95e337
    102 N69262b5faaa9423b9f7303ddae95e337 rdf:first sg:person.0704065453.79
    103 rdf:rest rdf:nil
    104 N9d7959cd24a84cda859b810b50efc7b1 schema:name Springer Nature - SN SciGraph project
    105 rdf:type schema:Organization
    106 Nae4cfac3cdf7437386a0456c67146bb0 schema:volumeNumber 15
    107 rdf:type schema:PublicationVolume
    108 Nc483f616a85b467c9dd303b092ffd21d schema:issueNumber 3
    109 rdf:type schema:PublicationIssue
    110 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
    111 schema:name Physical Sciences
    112 rdf:type schema:DefinedTerm
    113 anzsrc-for:0206 schema:inDefinedTermSet anzsrc-for:
    114 schema:name Quantum Physics
    115 rdf:type schema:DefinedTerm
    116 sg:grant.6976555 http://pending.schema.org/fundedItem sg:pub.10.1007/s11128-016-1263-6
    117 rdf:type schema:MonetaryGrant
    118 sg:grant.7188998 http://pending.schema.org/fundedItem sg:pub.10.1007/s11128-016-1263-6
    119 rdf:type schema:MonetaryGrant
    120 sg:journal.1052742 schema:issn 1570-0755
    121 1573-1332
    122 schema:name Quantum Information Processing
    123 rdf:type schema:Periodical
    124 sg:person.010062661300.69 schema:affiliation https://www.grid.ac/institutes/grid.12527.33
    125 schema:familyName Wei
    126 schema:givenName Shi-Jie
    127 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010062661300.69
    128 rdf:type schema:Person
    129 sg:person.0704065453.79 schema:affiliation https://www.grid.ac/institutes/grid.495569.2
    130 schema:familyName Long
    131 schema:givenName Gui-Lu
    132 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0704065453.79
    133 rdf:type schema:Person
    134 sg:pub.10.1007/bf01011339 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008923572
    135 https://doi.org/10.1007/bf01011339
    136 rdf:type schema:CreativeWork
    137 sg:pub.10.1007/bf02650179 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038336282
    138 https://doi.org/10.1007/bf02650179
    139 rdf:type schema:CreativeWork
    140 sg:pub.10.1007/s10773-007-9512-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034260243
    141 https://doi.org/10.1007/s10773-007-9512-1
    142 rdf:type schema:CreativeWork
    143 sg:pub.10.1007/s10773-008-9659-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045818366
    144 https://doi.org/10.1007/s10773-008-9659-4
    145 rdf:type schema:CreativeWork
    146 sg:pub.10.1007/s10773-009-9939-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020718844
    147 https://doi.org/10.1007/s10773-009-9939-7
    148 rdf:type schema:CreativeWork
    149 sg:pub.10.1007/s10773-010-0603-z schema:sameAs https://app.dimensions.ai/details/publication/pub.1030068232
    150 https://doi.org/10.1007/s10773-010-0603-z
    151 rdf:type schema:CreativeWork
    152 sg:pub.10.1007/s10773-012-1225-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011768444
    153 https://doi.org/10.1007/s10773-012-1225-4
    154 rdf:type schema:CreativeWork
    155 sg:pub.10.1007/s11128-006-0040-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021611502
    156 https://doi.org/10.1007/s11128-006-0040-3
    157 rdf:type schema:CreativeWork
    158 sg:pub.10.1007/s11128-006-0042-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019080511
    159 https://doi.org/10.1007/s11128-006-0042-1
    160 rdf:type schema:CreativeWork
    161 sg:pub.10.1007/s11128-008-0093-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044792298
    162 https://doi.org/10.1007/s11128-008-0093-6
    163 rdf:type schema:CreativeWork
    164 sg:pub.10.1007/s11128-011-0243-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013883105
    165 https://doi.org/10.1007/s11128-011-0243-0
    166 rdf:type schema:CreativeWork
    167 sg:pub.10.1007/s11128-012-0498-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045865892
    168 https://doi.org/10.1007/s11128-012-0498-0
    169 rdf:type schema:CreativeWork
    170 sg:pub.10.1007/s11128-015-1112-z schema:sameAs https://app.dimensions.ai/details/publication/pub.1003851506
    171 https://doi.org/10.1007/s11128-015-1112-z
    172 rdf:type schema:CreativeWork
    173 sg:pub.10.1007/s11433-010-4078-y schema:sameAs https://app.dimensions.ai/details/publication/pub.1044534328
    174 https://doi.org/10.1007/s11433-010-4078-y
    175 rdf:type schema:CreativeWork
    176 sg:pub.10.1007/s11433-010-4079-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1001201787
    177 https://doi.org/10.1007/s11433-010-4079-x
    178 rdf:type schema:CreativeWork
    179 sg:pub.10.1007/s11433-011-4327-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015806270
    180 https://doi.org/10.1007/s11433-011-4327-8
    181 rdf:type schema:CreativeWork
    182 sg:pub.10.1007/s11433-012-4916-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000815420
    183 https://doi.org/10.1007/s11433-012-4916-1
    184 rdf:type schema:CreativeWork
    185 sg:pub.10.1007/s11434-010-3221-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053140789
    186 https://doi.org/10.1007/s11434-010-3221-5
    187 rdf:type schema:CreativeWork
    188 sg:pub.10.1007/s11434-013-5925-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043125984
    189 https://doi.org/10.1007/s11434-013-5925-9
    190 rdf:type schema:CreativeWork
    191 sg:pub.10.1007/s11434-014-0334-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052235356
    192 https://doi.org/10.1007/s11434-014-0334-2
    193 rdf:type schema:CreativeWork
    194 sg:pub.10.1007/s11434-014-0712-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032781576
    195 https://doi.org/10.1007/s11434-014-0712-9
    196 rdf:type schema:CreativeWork
    197 sg:pub.10.1007/s11704-008-0021-z schema:sameAs https://app.dimensions.ai/details/publication/pub.1006978696
    198 https://doi.org/10.1007/s11704-008-0021-z
    199 rdf:type schema:CreativeWork
    200 sg:pub.10.1023/a:1008364504014 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042149281
    201 https://doi.org/10.1023/a:1008364504014
    202 rdf:type schema:CreativeWork
    203 sg:pub.10.1038/299802a0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005824196
    204 https://doi.org/10.1038/299802a0
    205 rdf:type schema:CreativeWork
    206 sg:pub.10.1038/nature10012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005700592
    207 https://doi.org/10.1038/nature10012
    208 rdf:type schema:CreativeWork
    209 sg:pub.10.1038/srep00597 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017170348
    210 https://doi.org/10.1038/srep00597
    211 rdf:type schema:CreativeWork
    212 sg:pub.10.1038/srep02232 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044980597
    213 https://doi.org/10.1038/srep02232
    214 rdf:type schema:CreativeWork
    215 https://doi.org/10.1016/0375-9601(82)90084-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034398217
    216 rdf:type schema:CreativeWork
    217 https://doi.org/10.1016/s0079-6727(99)00003-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045349780
    218 rdf:type schema:CreativeWork
    219 https://doi.org/10.1063/1.1495072 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057712559
    220 rdf:type schema:CreativeWork
    221 https://doi.org/10.1063/1.2827468 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057876241
    222 rdf:type schema:CreativeWork
    223 https://doi.org/10.1063/1.529425 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058106440
    224 rdf:type schema:CreativeWork
    225 https://doi.org/10.1080/09500340.2010.493245 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035742102
    226 rdf:type schema:CreativeWork
    227 https://doi.org/10.1080/09500340903180517 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012405904
    228 rdf:type schema:CreativeWork
    229 https://doi.org/10.1088/0253-6102/47/3/019 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018320239
    230 rdf:type schema:CreativeWork
    231 https://doi.org/10.1088/0253-6102/49/1/23 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059044518
    232 rdf:type schema:CreativeWork
    233 https://doi.org/10.1088/0253-6102/50/4/24 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059045025
    234 rdf:type schema:CreativeWork
    235 https://doi.org/10.1088/0253-6102/50/6/11 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014513643
    236 rdf:type schema:CreativeWork
    237 https://doi.org/10.1088/0253-6102/51/1/13 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059045146
    238 rdf:type schema:CreativeWork
    239 https://doi.org/10.1088/0253-6102/53/1/17 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059045563
    240 rdf:type schema:CreativeWork
    241 https://doi.org/10.1088/0256-307x/28/1/010306 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059057974
    242 rdf:type schema:CreativeWork
    243 https://doi.org/10.1088/0957-0233/8/11/003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048385323
    244 rdf:type schema:CreativeWork
    245 https://doi.org/10.1088/1751-8113/45/44/444011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046604355
    246 rdf:type schema:CreativeWork
    247 https://doi.org/10.1098/rspa.2005.1546 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002019445
    248 rdf:type schema:CreativeWork
    249 https://doi.org/10.1098/rsta.2012.0053 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042437269
    250 rdf:type schema:CreativeWork
    251 https://doi.org/10.1103/physreva.56.4456 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060493240
    252 rdf:type schema:CreativeWork
    253 https://doi.org/10.1103/physreva.64.022307 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053603168
    254 rdf:type schema:CreativeWork
    255 https://doi.org/10.1103/physreva.71.042312 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005949653
    256 rdf:type schema:CreativeWork
    257 https://doi.org/10.1103/physrevb.39.11828 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060548703
    258 rdf:type schema:CreativeWork
    259 https://doi.org/10.1103/physreve.58.5355 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034364415
    260 rdf:type schema:CreativeWork
    261 https://doi.org/10.1103/physrevlett.110.190501 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049478002
    262 rdf:type schema:CreativeWork
    263 https://doi.org/10.1103/physrevlett.114.090502 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007672926
    264 rdf:type schema:CreativeWork
    265 https://doi.org/10.1103/physrevlett.79.325 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002540107
    266 rdf:type schema:CreativeWork
    267 https://doi.org/10.1103/physrevx.6.031015 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015080054
    268 rdf:type schema:CreativeWork
    269 https://doi.org/10.1103/revmodphys.80.1061 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021011530
    270 rdf:type schema:CreativeWork
    271 https://doi.org/10.1119/1.19280 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062238864
    272 rdf:type schema:CreativeWork
    273 https://doi.org/10.1126/science.273.5278.1073 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062553940
    274 rdf:type schema:CreativeWork
    275 https://doi.org/10.1137/s0097539795293172 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062880065
    276 rdf:type schema:CreativeWork
    277 https://doi.org/10.1142/s0217979212430047 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062938065
    278 rdf:type schema:CreativeWork
    279 https://doi.org/10.1145/2591796.2591854 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051786517
    280 rdf:type schema:CreativeWork
    281 https://doi.org/10.1145/602382.602408 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020010815
    282 rdf:type schema:CreativeWork
    283 https://doi.org/10.1145/780542.780546 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025044821
    284 rdf:type schema:CreativeWork
    285 https://doi.org/10.1145/780542.780552 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006574725
    286 rdf:type schema:CreativeWork
    287 https://doi.org/10.15672/hjms.201447455 schema:sameAs https://app.dimensions.ai/details/publication/pub.1068029878
    288 rdf:type schema:CreativeWork
    289 https://www.grid.ac/institutes/grid.12527.33 schema:alternateName Tsinghua University
    290 schema:name State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, 100084, Beijing, China
    291 rdf:type schema:Organization
    292 https://www.grid.ac/institutes/grid.495569.2 schema:alternateName Collaborative Innovation Center of Quantum Matter
    293 schema:name Collaborative Innovation Center of Quantum Matter, 100084, Beijing, China
    294 State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, 100084, Beijing, China
    295 Tsinghua National Laboratory for Information Science and Technology, 100084, Beijing, China
    296 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...