Passive States Optimize the Output of Bosonic Gaussian Quantum Channels

An ordering between the quantum states emerging from a single-mode gauge-covariant bosonic Gaussian channel is proved. Specifically, we show that within the set of input density matrices with the same given spectrum, the element passive with respect to the Fock basis (i.e., diagonal with decreasing...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on information theory 2016-05, Vol.62 (5), p.2895-2906
Main Authors: De Palma, Giacomo, Trevisan, Dario, Giovannetti, Vittorio
Format: Article
Language:English
Subjects:
Attenuators
Eigenvalues
Eigenvalues and eigenfunctions
Electromagnetic radiation
Elementary particle vacuum
Entropy
Information theory
Normal distribution
Probability distribution
Quantum mechanics
Quantum theory
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c380t-b56e3140f6a0173b8c491a297e75040674a872b79eebb9d38d3800c2aaf5e17d3
cites cdi_FETCH-LOGICAL-c380t-b56e3140f6a0173b8c491a297e75040674a872b79eebb9d38d3800c2aaf5e17d3
container_end_page 2906
container_issue 5
container_start_page 2895
container_title IEEE transactions on information theory
container_volume 62
creator De Palma, Giacomo
Trevisan, Dario
Giovannetti, Vittorio
description An ordering between the quantum states emerging from a single-mode gauge-covariant bosonic Gaussian channel is proved. Specifically, we show that within the set of input density matrices with the same given spectrum, the element passive with respect to the Fock basis (i.e., diagonal with decreasing eigenvalues) produces an output, which majorizes all the other outputs emerging from the same set. When applied to pure input states, our finding includes as a special case the result of Mari et al., Nat. Comm. 5, 3826 (2014) which implies that the output associated to the vacuum majorizes the others.
doi_str_mv 10.1109/TIT.2016.2547426
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1109_TIT_2016_2547426</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>7442587</ieee_id><sourcerecordid>4044828981</sourcerecordid><originalsourceid>FETCH-LOGICAL-c380t-b56e3140f6a0173b8c491a297e75040674a872b79eebb9d38d3800c2aaf5e17d3</originalsourceid><addsrcrecordid>eNo9kNFLwzAQh4MoOKfvgi8BnzsvadJLHnXoHAymOJ9D2l1Zx9bWJhX0r7djQzj4cfD97uBj7FbARAiwD6v5aiJBZBOpFSqZnbGR0BoTm2l1zkYAwiRWKXPJrkLYDqvSQo7Y7M2HUH0T_4g-UuDLNlb76pd43BBf9rHtI29K_tSEpq4KPvP9gPuav_e-jv2eTze-rmkXrtlF6XeBbk45Zp8vz6vpa7JYzubTx0VSpAZikuuMUqGgzDwITHNTKCu8tEioQUGGyhuUOVqiPLfr1AwDUEjvS00C1-mY3R_vtl3z1VOIbtv0XT28dAJNhmgR0oGCI1V0TQgdla7tqr3vfpwAd9DlBl3uoMuddA2Vu2OlIqJ_HJWS2mD6B7-KZUA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1786779703</pqid></control><display><type>article</type><title>Passive States Optimize the Output of Bosonic Gaussian Quantum Channels</title><source>IEEE Electronic Library (IEL) Journals</source><creator>De Palma, Giacomo ; Trevisan, Dario ; Giovannetti, Vittorio</creator><creatorcontrib>De Palma, Giacomo ; Trevisan, Dario ; Giovannetti, Vittorio</creatorcontrib><description>An ordering between the quantum states emerging from a single-mode gauge-covariant bosonic Gaussian channel is proved. Specifically, we show that within the set of input density matrices with the same given spectrum, the element passive with respect to the Fock basis (i.e., diagonal with decreasing eigenvalues) produces an output, which majorizes all the other outputs emerging from the same set. When applied to pure input states, our finding includes as a special case the result of Mari et al., Nat. Comm. 5, 3826 (2014) which implies that the output associated to the vacuum majorizes the others.</description><identifier>ISSN: 0018-9448</identifier><identifier>EISSN: 1557-9654</identifier><identifier>DOI: 10.1109/TIT.2016.2547426</identifier><identifier>CODEN: IETTAW</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Attenuators ; Eigenvalues ; Eigenvalues and eigenfunctions ; Electromagnetic radiation ; Elementary particle vacuum ; Entropy ; Information theory ; Normal distribution ; Probability distribution ; Quantum mechanics ; Quantum theory</subject><ispartof>IEEE transactions on information theory, 2016-05, Vol.62 (5), p.2895-2906</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) May 2016</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c380t-b56e3140f6a0173b8c491a297e75040674a872b79eebb9d38d3800c2aaf5e17d3</citedby><cites>FETCH-LOGICAL-c380t-b56e3140f6a0173b8c491a297e75040674a872b79eebb9d38d3800c2aaf5e17d3</cites><orcidid>0000-0002-5064-8695</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/7442587$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,27923,27924,54795</link.rule.ids></links><search><creatorcontrib>De Palma, Giacomo</creatorcontrib><creatorcontrib>Trevisan, Dario</creatorcontrib><creatorcontrib>Giovannetti, Vittorio</creatorcontrib><title>Passive States Optimize the Output of Bosonic Gaussian Quantum Channels</title><title>IEEE transactions on information theory</title><addtitle>TIT</addtitle><description>An ordering between the quantum states emerging from a single-mode gauge-covariant bosonic Gaussian channel is proved. Specifically, we show that within the set of input density matrices with the same given spectrum, the element passive with respect to the Fock basis (i.e., diagonal with decreasing eigenvalues) produces an output, which majorizes all the other outputs emerging from the same set. When applied to pure input states, our finding includes as a special case the result of Mari et al., Nat. Comm. 5, 3826 (2014) which implies that the output associated to the vacuum majorizes the others.</description><subject>Attenuators</subject><subject>Eigenvalues</subject><subject>Eigenvalues and eigenfunctions</subject><subject>Electromagnetic radiation</subject><subject>Elementary particle vacuum</subject><subject>Entropy</subject><subject>Information theory</subject><subject>Normal distribution</subject><subject>Probability distribution</subject><subject>Quantum mechanics</subject><subject>Quantum theory</subject><issn>0018-9448</issn><issn>1557-9654</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNo9kNFLwzAQh4MoOKfvgi8BnzsvadJLHnXoHAymOJ9D2l1Zx9bWJhX0r7djQzj4cfD97uBj7FbARAiwD6v5aiJBZBOpFSqZnbGR0BoTm2l1zkYAwiRWKXPJrkLYDqvSQo7Y7M2HUH0T_4g-UuDLNlb76pd43BBf9rHtI29K_tSEpq4KPvP9gPuav_e-jv2eTze-rmkXrtlF6XeBbk45Zp8vz6vpa7JYzubTx0VSpAZikuuMUqGgzDwITHNTKCu8tEioQUGGyhuUOVqiPLfr1AwDUEjvS00C1-mY3R_vtl3z1VOIbtv0XT28dAJNhmgR0oGCI1V0TQgdla7tqr3vfpwAd9DlBl3uoMuddA2Vu2OlIqJ_HJWS2mD6B7-KZUA</recordid><startdate>201605</startdate><enddate>201605</enddate><creator>De Palma, Giacomo</creator><creator>Trevisan, Dario</creator><creator>Giovannetti, Vittorio</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0002-5064-8695</orcidid></search><sort><creationdate>201605</creationdate><title>Passive States Optimize the Output of Bosonic Gaussian Quantum Channels</title><author>De Palma, Giacomo ; Trevisan, Dario ; Giovannetti, Vittorio</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c380t-b56e3140f6a0173b8c491a297e75040674a872b79eebb9d38d3800c2aaf5e17d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Attenuators</topic><topic>Eigenvalues</topic><topic>Eigenvalues and eigenfunctions</topic><topic>Electromagnetic radiation</topic><topic>Elementary particle vacuum</topic><topic>Entropy</topic><topic>Information theory</topic><topic>Normal distribution</topic><topic>Probability distribution</topic><topic>Quantum mechanics</topic><topic>Quantum theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>De Palma, Giacomo</creatorcontrib><creatorcontrib>Trevisan, Dario</creatorcontrib><creatorcontrib>Giovannetti, Vittorio</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics &amp; Communications Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>IEEE transactions on information theory</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>De Palma, Giacomo</au><au>Trevisan, Dario</au><au>Giovannetti, Vittorio</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Passive States Optimize the Output of Bosonic Gaussian Quantum Channels</atitle><jtitle>IEEE transactions on information theory</jtitle><stitle>TIT</stitle><date>2016-05</date><risdate>2016</risdate><volume>62</volume><issue>5</issue><spage>2895</spage><epage>2906</epage><pages>2895-2906</pages><issn>0018-9448</issn><eissn>1557-9654</eissn><coden>IETTAW</coden><abstract>An ordering between the quantum states emerging from a single-mode gauge-covariant bosonic Gaussian channel is proved. Specifically, we show that within the set of input density matrices with the same given spectrum, the element passive with respect to the Fock basis (i.e., diagonal with decreasing eigenvalues) produces an output, which majorizes all the other outputs emerging from the same set. When applied to pure input states, our finding includes as a special case the result of Mari et al., Nat. Comm. 5, 3826 (2014) which implies that the output associated to the vacuum majorizes the others.</abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/TIT.2016.2547426</doi><tpages>12</tpages><orcidid>https://orcid.org/0000-0002-5064-8695</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0018-9448
ispartof IEEE transactions on information theory, 2016-05, Vol.62 (5), p.2895-2906
issn 0018-9448
1557-9654
language eng
recordid cdi_crossref_primary_10_1109_TIT_2016_2547426
source IEEE Electronic Library (IEL) Journals
subjects Attenuators
Eigenvalues
Eigenvalues and eigenfunctions
Electromagnetic radiation
Elementary particle vacuum
Entropy
Information theory
Normal distribution
Probability distribution
Quantum mechanics
Quantum theory
title Passive States Optimize the Output of Bosonic Gaussian Quantum Channels
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-13T02%3A51%3A29IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Passive%20States%20Optimize%20the%20Output%20of%20Bosonic%20Gaussian%20Quantum%20Channels&rft.jtitle=IEEE%20transactions%20on%20information%20theory&rft.au=De%20Palma,%20Giacomo&rft.date=2016-05&rft.volume=62&rft.issue=5&rft.spage=2895&rft.epage=2906&rft.pages=2895-2906&rft.issn=0018-9448&rft.eissn=1557-9654&rft.coden=IETTAW&rft_id=info:doi/10.1109/TIT.2016.2547426&rft_dat=%3Cproquest_cross%3E4044828981%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c380t-b56e3140f6a0173b8c491a297e75040674a872b79eebb9d38d3800c2aaf5e17d3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=1786779703&rft_id=info:pmid/&rft_ieee_id=7442587&rfr_iscdi=true