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Conference Paper: Compression for quantum population coding (extended abstract)

TitleCompression for quantum population coding (extended abstract)
Authors
Issue Date2017
Citation
2017 IEEE International Symposium on Information Theory (ISIT), Aachen, Germany, 25-30 June 2017 How to Cite?
AbstractWe study the compression of arbitrary parametric families of n identically prepared finite-dimensional quantum states, in a setting that can be regarded as a quantum analogue of population coding. For a family with f free parameters, we propose an asymptotically faithful protocol that requires a memory of overall size (f/2)log n. Our construction uses a quantum version of local asymptotic normality and, as an intermediate step, solves the problem of the optimal compression of n identically prepared displaced thermal states. Our protocol achieves the ultimate bound predicted by quantum Shannon theory. In addition, we explore the minimum requirement for quantum memory: On the one hand, the amount of quantum memory used by our protocol can be made arbitrarily small compared to the overall memory cost; on the other hand, any protocol using only classical memory cannot be faithful.
DescriptionTh1-8: Quantum IT 4
Persistent Identifierhttp://hdl.handle.net/10722/242324

 

DC FieldValueLanguage
dc.contributor.authorYang, Y-
dc.contributor.authorBai, G-
dc.contributor.authorChiribella, G-
dc.contributor.authorHayashi, M-
dc.date.accessioned2017-07-24T01:38:16Z-
dc.date.available2017-07-24T01:38:16Z-
dc.date.issued2017-
dc.identifier.citation2017 IEEE International Symposium on Information Theory (ISIT), Aachen, Germany, 25-30 June 2017-
dc.identifier.urihttp://hdl.handle.net/10722/242324-
dc.descriptionTh1-8: Quantum IT 4-
dc.description.abstractWe study the compression of arbitrary parametric families of n identically prepared finite-dimensional quantum states, in a setting that can be regarded as a quantum analogue of population coding. For a family with f free parameters, we propose an asymptotically faithful protocol that requires a memory of overall size (f/2)log n. Our construction uses a quantum version of local asymptotic normality and, as an intermediate step, solves the problem of the optimal compression of n identically prepared displaced thermal states. Our protocol achieves the ultimate bound predicted by quantum Shannon theory. In addition, we explore the minimum requirement for quantum memory: On the one hand, the amount of quantum memory used by our protocol can be made arbitrarily small compared to the overall memory cost; on the other hand, any protocol using only classical memory cannot be faithful.-
dc.languageeng-
dc.relation.ispartofIEEE International Symposium on Information Theory (ISIT)-
dc.titleCompression for quantum population coding (extended abstract)-
dc.typeConference_Paper-
dc.identifier.emailChiribella, G: giulio@hku.hk-
dc.identifier.authorityChiribella, G=rp02035-
dc.identifier.hkuros273318-

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