On Strong Superadditivity of the Entanglement of Formation View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2004-04

AUTHORS

Koenraad M.R. Audenaert, Samuel L. Braunstein

ABSTRACT

We employ a basic formalism from convex analysis to show a simple relation between the entanglement of formation EF and the conjugate function E* of the entanglement function E(ρ)=S(TrAρ). We then consider the conjectured strong superadditivity of the entanglement of formation EF(ρ)≥EF(ρI)+EF(ρII), where ρI and ρII are the reductions of ρ to the different Hilbert space copies, and prove that it is equivalent with subadditivity of E*. Furthermore, we show that strong superadditivity would follow from multiplicativity of the maximal channel output purity for quantum filtering operations, when purity is measured by Schatten p-norms for p tending to 1. More... »

PAGES

443-452

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00220-003-0987-1

DOI

http://dx.doi.org/10.1007/s00220-003-0987-1

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1018626239


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": "University of Wales", 
          "id": "https://www.grid.ac/institutes/grid.8155.9", 
          "name": [
            "University of Wales, Bangor School of Informatics, Bangor (Gwynedd) LL57 1UT, UK"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Audenaert", 
        "givenName": "Koenraad M.R.", 
        "id": "sg:person.010510633016.55", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010510633016.55"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of York", 
          "id": "https://www.grid.ac/institutes/grid.5685.e", 
          "name": [
            "University of Wales, Bangor School of Informatics, Bangor (Gwynedd) LL57 1UT, UK", 
            "The University of York, Dept. of Computer Science, York YO10 5DD, UK"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Braunstein", 
        "givenName": "Samuel L.", 
        "id": "sg:person.0666766367.22", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0666766367.22"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1103/physreva.64.062307", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000981275"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.64.062307", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000981275"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.80.2245", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1008906037"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.80.2245", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1008906037"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.64.052304", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009604440"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.64.052304", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009604440"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.89.027901", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1016690908"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.89.027901", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1016690908"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.1498000", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1021978041"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.54.3824", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022782738"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.54.3824", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022782738"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.1290055", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024537530"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0024-3795(93)90029-n", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024631761"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.1498491", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1027934572"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0305-4470/34/35/314", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033341358"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.63.042306", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1039799952"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.63.042306", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1039799952"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1017/cbo9780511804441", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098700691"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2004-04", 
    "datePublishedReg": "2004-04-01", 
    "description": "We employ a basic formalism from convex analysis to show a simple relation between the entanglement of formation EF and the conjugate function E* of the entanglement function E(\u03c1)=S(TrA\u03c1). We then consider the conjectured strong superadditivity of the entanglement of formation EF(\u03c1)\u2265EF(\u03c1I)+EF(\u03c1II), where \u03c1I and \u03c1II are the reductions of \u03c1 to the different Hilbert space copies, and prove that it is equivalent with subadditivity of E*. Furthermore, we show that strong superadditivity would follow from multiplicativity of the maximal channel output purity for quantum filtering operations, when purity is measured by Schatten p-norms for p tending to 1.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s00220-003-0987-1", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1136216", 
        "issn": [
          "0010-3616", 
          "1432-0916"
        ], 
        "name": "Communications in Mathematical Physics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "3", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "246"
      }
    ], 
    "name": "On Strong Superadditivity of the Entanglement of Formation", 
    "pagination": "443-452", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "58bf0718806465de1a8dd0d7e6ab9ba06cbd813dcd4b0e8f86e30d1cd835b456"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s00220-003-0987-1"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1018626239"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s00220-003-0987-1", 
      "https://app.dimensions.ai/details/publication/pub.1018626239"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T14:09", 
    "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_00000512.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007%2Fs00220-003-0987-1"
  }
]
 

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/s00220-003-0987-1'

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/s00220-003-0987-1'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00220-003-0987-1'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00220-003-0987-1'


 

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

108 TRIPLES      21 PREDICATES      39 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s00220-003-0987-1 schema:about anzsrc-for:02
2 anzsrc-for:0206
3 schema:author N2f1bc963da0f401981556ebb4ed7c704
4 schema:citation https://doi.org/10.1016/0024-3795(93)90029-n
5 https://doi.org/10.1017/cbo9780511804441
6 https://doi.org/10.1063/1.1290055
7 https://doi.org/10.1063/1.1498000
8 https://doi.org/10.1063/1.1498491
9 https://doi.org/10.1088/0305-4470/34/35/314
10 https://doi.org/10.1103/physreva.54.3824
11 https://doi.org/10.1103/physreva.63.042306
12 https://doi.org/10.1103/physreva.64.052304
13 https://doi.org/10.1103/physreva.64.062307
14 https://doi.org/10.1103/physrevlett.80.2245
15 https://doi.org/10.1103/physrevlett.89.027901
16 schema:datePublished 2004-04
17 schema:datePublishedReg 2004-04-01
18 schema:description We employ a basic formalism from convex analysis to show a simple relation between the entanglement of formation EF and the conjugate function E* of the entanglement function E(ρ)=S(TrAρ). We then consider the conjectured strong superadditivity of the entanglement of formation EF(ρ)≥EF(ρI)+EF(ρII), where ρI and ρII are the reductions of ρ to the different Hilbert space copies, and prove that it is equivalent with subadditivity of E*. Furthermore, we show that strong superadditivity would follow from multiplicativity of the maximal channel output purity for quantum filtering operations, when purity is measured by Schatten p-norms for p tending to 1.
19 schema:genre research_article
20 schema:inLanguage en
21 schema:isAccessibleForFree true
22 schema:isPartOf N026fcee8dfd24a6d835033aa7d3f18a1
23 N1641a884c38243f88fb8673fdbc474e5
24 sg:journal.1136216
25 schema:name On Strong Superadditivity of the Entanglement of Formation
26 schema:pagination 443-452
27 schema:productId N193706da24294068879fc753897daaa3
28 N84f588e101874dcc86238bdd6a2a969a
29 Ne1f2ac4cd5ae453da15ecab2790825eb
30 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018626239
31 https://doi.org/10.1007/s00220-003-0987-1
32 schema:sdDatePublished 2019-04-10T14:09
33 schema:sdLicense https://scigraph.springernature.com/explorer/license/
34 schema:sdPublisher N111d6e7cfe114c7588ffb1a243f31e96
35 schema:url http://link.springer.com/10.1007%2Fs00220-003-0987-1
36 sgo:license sg:explorer/license/
37 sgo:sdDataset articles
38 rdf:type schema:ScholarlyArticle
39 N026fcee8dfd24a6d835033aa7d3f18a1 schema:volumeNumber 246
40 rdf:type schema:PublicationVolume
41 N111d6e7cfe114c7588ffb1a243f31e96 schema:name Springer Nature - SN SciGraph project
42 rdf:type schema:Organization
43 N1641a884c38243f88fb8673fdbc474e5 schema:issueNumber 3
44 rdf:type schema:PublicationIssue
45 N193706da24294068879fc753897daaa3 schema:name readcube_id
46 schema:value 58bf0718806465de1a8dd0d7e6ab9ba06cbd813dcd4b0e8f86e30d1cd835b456
47 rdf:type schema:PropertyValue
48 N2f1bc963da0f401981556ebb4ed7c704 rdf:first sg:person.010510633016.55
49 rdf:rest N81c8f3eb4b34434482febbc22c6c5d8b
50 N81c8f3eb4b34434482febbc22c6c5d8b rdf:first sg:person.0666766367.22
51 rdf:rest rdf:nil
52 N84f588e101874dcc86238bdd6a2a969a schema:name dimensions_id
53 schema:value pub.1018626239
54 rdf:type schema:PropertyValue
55 Ne1f2ac4cd5ae453da15ecab2790825eb schema:name doi
56 schema:value 10.1007/s00220-003-0987-1
57 rdf:type schema:PropertyValue
58 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
59 schema:name Physical Sciences
60 rdf:type schema:DefinedTerm
61 anzsrc-for:0206 schema:inDefinedTermSet anzsrc-for:
62 schema:name Quantum Physics
63 rdf:type schema:DefinedTerm
64 sg:journal.1136216 schema:issn 0010-3616
65 1432-0916
66 schema:name Communications in Mathematical Physics
67 rdf:type schema:Periodical
68 sg:person.010510633016.55 schema:affiliation https://www.grid.ac/institutes/grid.8155.9
69 schema:familyName Audenaert
70 schema:givenName Koenraad M.R.
71 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010510633016.55
72 rdf:type schema:Person
73 sg:person.0666766367.22 schema:affiliation https://www.grid.ac/institutes/grid.5685.e
74 schema:familyName Braunstein
75 schema:givenName Samuel L.
76 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0666766367.22
77 rdf:type schema:Person
78 https://doi.org/10.1016/0024-3795(93)90029-n schema:sameAs https://app.dimensions.ai/details/publication/pub.1024631761
79 rdf:type schema:CreativeWork
80 https://doi.org/10.1017/cbo9780511804441 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098700691
81 rdf:type schema:CreativeWork
82 https://doi.org/10.1063/1.1290055 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024537530
83 rdf:type schema:CreativeWork
84 https://doi.org/10.1063/1.1498000 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021978041
85 rdf:type schema:CreativeWork
86 https://doi.org/10.1063/1.1498491 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027934572
87 rdf:type schema:CreativeWork
88 https://doi.org/10.1088/0305-4470/34/35/314 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033341358
89 rdf:type schema:CreativeWork
90 https://doi.org/10.1103/physreva.54.3824 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022782738
91 rdf:type schema:CreativeWork
92 https://doi.org/10.1103/physreva.63.042306 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039799952
93 rdf:type schema:CreativeWork
94 https://doi.org/10.1103/physreva.64.052304 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009604440
95 rdf:type schema:CreativeWork
96 https://doi.org/10.1103/physreva.64.062307 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000981275
97 rdf:type schema:CreativeWork
98 https://doi.org/10.1103/physrevlett.80.2245 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008906037
99 rdf:type schema:CreativeWork
100 https://doi.org/10.1103/physrevlett.89.027901 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016690908
101 rdf:type schema:CreativeWork
102 https://www.grid.ac/institutes/grid.5685.e schema:alternateName University of York
103 schema:name The University of York, Dept. of Computer Science, York YO10 5DD, UK
104 University of Wales, Bangor School of Informatics, Bangor (Gwynedd) LL57 1UT, UK
105 rdf:type schema:Organization
106 https://www.grid.ac/institutes/grid.8155.9 schema:alternateName University of Wales
107 schema:name University of Wales, Bangor School of Informatics, Bangor (Gwynedd) LL57 1UT, UK
108 rdf:type schema:Organization
 




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


...