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Article: Compression for Quantum Population Coding

TitleCompression for Quantum Population Coding
Authors
KeywordsCompression
Identically prepared state
Local asymptotic normality
Population coding
Quantum system
Issue Date2018
PublisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?puNumber=18
Citation
IEEE Transactions on Information Theory, 2018, v. 64 n. 7, p. 4766-4783 How to Cite?
AbstractWe study the compression of n quantum systems, each prepared in the same state belonging to a given parametric family of quantum states. For a family of states with f independent parameters, we devise an asymptotically faithful protocol that requires a hybrid memory of size (f/2)\log n, including both quantum and classical bits. Our construction uses a quantum version of local asymptotic normality and, as an intermediate step, solves the problem of compressing displaced thermal states of n identically prepared modes. In both cases, we show that (f/2)\log n is the minimum amount of memory needed to achieve asymptotic faithfulness. In addition, we analyze how much of the memory needs to be quantum. We find that the ratio between quantum and classical bits can be made arbitrarily small, but cannot reach zero: unless all the quantum states in the family commute, no protocol using only classical bits can be faithful, even if it uses an arbitrarily large number of classical bits.
Persistent Identifierhttp://hdl.handle.net/10722/258244
ISSN
2023 Impact Factor: 2.2
2023 SCImago Journal Rankings: 1.607
ISI Accession Number ID
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DC FieldValueLanguage
dc.contributor.authorYang, Y-
dc.contributor.authorBai, G-
dc.contributor.authorChiribella, G-
dc.contributor.authorHayashi, M-
dc.date.accessioned2018-08-22T01:35:16Z-
dc.date.available2018-08-22T01:35:16Z-
dc.date.issued2018-
dc.identifier.citationIEEE Transactions on Information Theory, 2018, v. 64 n. 7, p. 4766-4783-
dc.identifier.issn0018-9448-
dc.identifier.urihttp://hdl.handle.net/10722/258244-
dc.description.abstractWe study the compression of n quantum systems, each prepared in the same state belonging to a given parametric family of quantum states. For a family of states with f independent parameters, we devise an asymptotically faithful protocol that requires a hybrid memory of size (f/2)\log n, including both quantum and classical bits. Our construction uses a quantum version of local asymptotic normality and, as an intermediate step, solves the problem of compressing displaced thermal states of n identically prepared modes. In both cases, we show that (f/2)\log n is the minimum amount of memory needed to achieve asymptotic faithfulness. In addition, we analyze how much of the memory needs to be quantum. We find that the ratio between quantum and classical bits can be made arbitrarily small, but cannot reach zero: unless all the quantum states in the family commute, no protocol using only classical bits can be faithful, even if it uses an arbitrarily large number of classical bits.-
dc.languageeng-
dc.publisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?puNumber=18-
dc.relation.ispartofIEEE Transactions on Information Theory-
dc.rights©2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.-
dc.subjectCompression-
dc.subjectIdentically prepared state-
dc.subjectLocal asymptotic normality-
dc.subjectPopulation coding-
dc.subjectQuantum system-
dc.titleCompression for Quantum Population Coding-
dc.typeArticle-
dc.identifier.emailChiribella, G: giulio@hku.hk-
dc.identifier.authorityChiribella, G=rp02035-
dc.description.naturepostprint-
dc.identifier.doi10.1109/TIT.2017.2788407-
dc.identifier.scopuseid_2-s2.0-85040623585-
dc.identifier.hkuros287005-
dc.identifier.volume64-
dc.identifier.issue7-
dc.identifier.spage4766-
dc.identifier.epage4783-
dc.identifier.isiWOS:000435979500006-
dc.publisher.placeUnited States-
dc.relation.projectCompressed Quantum Dynamics: Storing, Programming, and Simulating Physical Processes with Minimum-Sized Quantum Systems-
dc.identifier.issnl0018-9448-

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