Majorization and additivity for multimode bosonic Gaussian channels View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2015-02

AUTHORS

V. Giovannetti, A. S. Holevo, A. Mari

ABSTRACT

We obtain a multimode extension of the majorization theorem for bosonic Gaussian channels, in particular, giving sufficient conditions under which the Glauber coherent states are the only minimizers for concave functionals of the output state of such a channel. We discuss direct implications of this multimode majorization for the positive solution of the famous additivity problem in the case of Gaussian channels. In particular, we prove the additivity of the output Rényi entropies of arbitrary order p > 1. Finally, we present an alternative, more direct derivation of a majorization property of the Husimi function established by Lieb and Solovej. More... »

PAGES

284-293

Journal

TITLE

Theoretical and Mathematical Physics

ISSUE

2

VOLUME

182

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11232-015-0262-6

DOI

http://dx.doi.org/10.1007/s11232-015-0262-6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1012407896


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/2008/1402", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Applied Economics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/14", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Economics", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "name": [
            "NEST, Scuola Normale Superiore e Istituto Nanoscienze-CNR, Pisa, Italy"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Giovannetti", 
        "givenName": "V.", 
        "id": "sg:person.0751566121.99", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0751566121.99"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Russian Academy of Sciences", 
          "id": "https://www.grid.ac/institutes/grid.4886.2", 
          "name": [
            "Steklov Mathematical Institute, RAS, Moscow, Russia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Holevo", 
        "givenName": "A. S.", 
        "id": "sg:person.012742037634.56", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012742037634.56"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "name": [
            "NEST, Scuola Normale Superiore e Istituto Nanoscienze-CNR, Pisa, Italy"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Mari", 
        "givenName": "A.", 
        "id": "sg:person.01166013734.75", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01166013734.75"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/bf01940328", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007861746", 
          "https://doi.org/10.1007/bf01940328"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01940328", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007861746", 
          "https://doi.org/10.1007/bf01940328"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.69.062307", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018953587"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.69.062307", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018953587"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0034-4877(00)90005-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026267086"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1038/ncomms4826", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050601467", 
          "https://doi.org/10.1038/ncomms4826"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11511-014-0113-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1051295107", 
          "https://doi.org/10.1007/s11511-014-0113-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1070/im1972v006n05abeh001913", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058166524"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1070/sm1972v017n02abeh001504", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058199142"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/revmodphys.50.221", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060838892"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/revmodphys.50.221", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060838892"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2015-02", 
    "datePublishedReg": "2015-02-01", 
    "description": "We obtain a multimode extension of the majorization theorem for bosonic Gaussian channels, in particular, giving sufficient conditions under which the Glauber coherent states are the only minimizers for concave functionals of the output state of such a channel. We discuss direct implications of this multimode majorization for the positive solution of the famous additivity problem in the case of Gaussian channels. In particular, we prove the additivity of the output R\u00e9nyi entropies of arbitrary order p > 1. Finally, we present an alternative, more direct derivation of a majorization property of the Husimi function established by Lieb and Solovej.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s11232-015-0262-6", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1327888", 
        "issn": [
          "0040-5779", 
          "2305-3135"
        ], 
        "name": "Theoretical and Mathematical Physics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "2", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "182"
      }
    ], 
    "name": "Majorization and additivity for multimode bosonic Gaussian channels", 
    "pagination": "284-293", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "3b1d5e2653c4454b78584d74ba7ba3ba9cb50245154c540d627ddc9f923f6e21"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s11232-015-0262-6"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1012407896"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s11232-015-0262-6", 
      "https://app.dimensions.ai/details/publication/pub.1012407896"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T00:18", 
    "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_8695_00000520.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007%2Fs11232-015-0262-6"
  }
]
 

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/s11232-015-0262-6'

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/s11232-015-0262-6'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s11232-015-0262-6'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s11232-015-0262-6'


 

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

106 TRIPLES      21 PREDICATES      35 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s11232-015-0262-6 schema:about anzsrc-for:14
2 anzsrc-for:1402
3 schema:author N81f3ab06bca543f89ad644308be52d90
4 schema:citation sg:pub.10.1007/bf01940328
5 sg:pub.10.1007/s11511-014-0113-6
6 sg:pub.10.1038/ncomms4826
7 https://doi.org/10.1016/s0034-4877(00)90005-3
8 https://doi.org/10.1070/im1972v006n05abeh001913
9 https://doi.org/10.1070/sm1972v017n02abeh001504
10 https://doi.org/10.1103/physreva.69.062307
11 https://doi.org/10.1103/revmodphys.50.221
12 schema:datePublished 2015-02
13 schema:datePublishedReg 2015-02-01
14 schema:description We obtain a multimode extension of the majorization theorem for bosonic Gaussian channels, in particular, giving sufficient conditions under which the Glauber coherent states are the only minimizers for concave functionals of the output state of such a channel. We discuss direct implications of this multimode majorization for the positive solution of the famous additivity problem in the case of Gaussian channels. In particular, we prove the additivity of the output Rényi entropies of arbitrary order p > 1. Finally, we present an alternative, more direct derivation of a majorization property of the Husimi function established by Lieb and Solovej.
15 schema:genre research_article
16 schema:inLanguage en
17 schema:isAccessibleForFree true
18 schema:isPartOf N4456887365a742fe998ccc65026e588a
19 Na912924cb9874343b57e98c13ff9e0f4
20 sg:journal.1327888
21 schema:name Majorization and additivity for multimode bosonic Gaussian channels
22 schema:pagination 284-293
23 schema:productId N3bd953907da248938100f42656b82cf1
24 N582017a4de664ff09dcc7784b513f794
25 Ne92222a04daf4f75884b9554c97a521f
26 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012407896
27 https://doi.org/10.1007/s11232-015-0262-6
28 schema:sdDatePublished 2019-04-11T00:18
29 schema:sdLicense https://scigraph.springernature.com/explorer/license/
30 schema:sdPublisher N9dd2c15799c64e46a3279317a19755a2
31 schema:url http://link.springer.com/10.1007%2Fs11232-015-0262-6
32 sgo:license sg:explorer/license/
33 sgo:sdDataset articles
34 rdf:type schema:ScholarlyArticle
35 N0c1ccb3e0a08428282b44bb38dfb841a schema:name NEST, Scuola Normale Superiore e Istituto Nanoscienze-CNR, Pisa, Italy
36 rdf:type schema:Organization
37 N3bd953907da248938100f42656b82cf1 schema:name readcube_id
38 schema:value 3b1d5e2653c4454b78584d74ba7ba3ba9cb50245154c540d627ddc9f923f6e21
39 rdf:type schema:PropertyValue
40 N4456887365a742fe998ccc65026e588a schema:issueNumber 2
41 rdf:type schema:PublicationIssue
42 N5525ce4d232849e38c0f0bd65d721605 rdf:first sg:person.01166013734.75
43 rdf:rest rdf:nil
44 N582017a4de664ff09dcc7784b513f794 schema:name doi
45 schema:value 10.1007/s11232-015-0262-6
46 rdf:type schema:PropertyValue
47 N6f6406d2f65040409102d7ab9f8013b0 rdf:first sg:person.012742037634.56
48 rdf:rest N5525ce4d232849e38c0f0bd65d721605
49 N81f3ab06bca543f89ad644308be52d90 rdf:first sg:person.0751566121.99
50 rdf:rest N6f6406d2f65040409102d7ab9f8013b0
51 N9dd2c15799c64e46a3279317a19755a2 schema:name Springer Nature - SN SciGraph project
52 rdf:type schema:Organization
53 Na912924cb9874343b57e98c13ff9e0f4 schema:volumeNumber 182
54 rdf:type schema:PublicationVolume
55 Nd03c06d65cd64166bb1df7166510f82f schema:name NEST, Scuola Normale Superiore e Istituto Nanoscienze-CNR, Pisa, Italy
56 rdf:type schema:Organization
57 Ne92222a04daf4f75884b9554c97a521f schema:name dimensions_id
58 schema:value pub.1012407896
59 rdf:type schema:PropertyValue
60 anzsrc-for:14 schema:inDefinedTermSet anzsrc-for:
61 schema:name Economics
62 rdf:type schema:DefinedTerm
63 anzsrc-for:1402 schema:inDefinedTermSet anzsrc-for:
64 schema:name Applied Economics
65 rdf:type schema:DefinedTerm
66 sg:journal.1327888 schema:issn 0040-5779
67 2305-3135
68 schema:name Theoretical and Mathematical Physics
69 rdf:type schema:Periodical
70 sg:person.01166013734.75 schema:affiliation N0c1ccb3e0a08428282b44bb38dfb841a
71 schema:familyName Mari
72 schema:givenName A.
73 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01166013734.75
74 rdf:type schema:Person
75 sg:person.012742037634.56 schema:affiliation https://www.grid.ac/institutes/grid.4886.2
76 schema:familyName Holevo
77 schema:givenName A. S.
78 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012742037634.56
79 rdf:type schema:Person
80 sg:person.0751566121.99 schema:affiliation Nd03c06d65cd64166bb1df7166510f82f
81 schema:familyName Giovannetti
82 schema:givenName V.
83 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0751566121.99
84 rdf:type schema:Person
85 sg:pub.10.1007/bf01940328 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007861746
86 https://doi.org/10.1007/bf01940328
87 rdf:type schema:CreativeWork
88 sg:pub.10.1007/s11511-014-0113-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051295107
89 https://doi.org/10.1007/s11511-014-0113-6
90 rdf:type schema:CreativeWork
91 sg:pub.10.1038/ncomms4826 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050601467
92 https://doi.org/10.1038/ncomms4826
93 rdf:type schema:CreativeWork
94 https://doi.org/10.1016/s0034-4877(00)90005-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026267086
95 rdf:type schema:CreativeWork
96 https://doi.org/10.1070/im1972v006n05abeh001913 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058166524
97 rdf:type schema:CreativeWork
98 https://doi.org/10.1070/sm1972v017n02abeh001504 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058199142
99 rdf:type schema:CreativeWork
100 https://doi.org/10.1103/physreva.69.062307 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018953587
101 rdf:type schema:CreativeWork
102 https://doi.org/10.1103/revmodphys.50.221 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060838892
103 rdf:type schema:CreativeWork
104 https://www.grid.ac/institutes/grid.4886.2 schema:alternateName Russian Academy of Sciences
105 schema:name Steklov Mathematical Institute, RAS, Moscow, Russia
106 rdf:type schema:Organization
 




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


...