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- Publisher Website: 10.1109/ISIT.2017.8006874
- Scopus: eid_2-s2.0-85034105354
- WOS: WOS:000430345202008
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Conference Paper: Compression for quantum population coding
Title | Compression for quantum population coding |
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Authors | |
Keywords | Population coding Compression Quantum system Local asymptotic normality Identically prepared states |
Issue Date | 2017 |
Publisher | IEEE. |
Citation | 2017 IEEE International Symposium on Information Theory (ISIT), Aachen, Germany, 25-30 June 2017. In Conference Proceedings, 2017, p. 1973-1977 How to Cite? |
Abstract | We 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. |
Description | Th1-8: Quantum IT 4 |
Persistent Identifier | http://hdl.handle.net/10722/242324 |
ISBN | |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Yang, Y | - |
dc.contributor.author | Bai, G | - |
dc.contributor.author | Chiribella, G | - |
dc.contributor.author | Hayashi, M | - |
dc.date.accessioned | 2017-07-24T01:38:16Z | - |
dc.date.available | 2017-07-24T01:38:16Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | 2017 IEEE International Symposium on Information Theory (ISIT), Aachen, Germany, 25-30 June 2017. In Conference Proceedings, 2017, p. 1973-1977 | - |
dc.identifier.isbn | 9781509040964 | - |
dc.identifier.uri | http://hdl.handle.net/10722/242324 | - |
dc.description | Th1-8: Quantum IT 4 | - |
dc.description.abstract | We 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.language | eng | - |
dc.publisher | IEEE. | - |
dc.relation.ispartof | 2017 IEEE International Symposium on Information Theory (ISIT) | - |
dc.subject | Population coding | - |
dc.subject | Compression | - |
dc.subject | Quantum system | - |
dc.subject | Local asymptotic normality | - |
dc.subject | Identically prepared states | - |
dc.title | Compression for quantum population coding | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Chiribella, G: giulio@hku.hk | - |
dc.identifier.authority | Chiribella, G=rp02035 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/ISIT.2017.8006874 | - |
dc.identifier.scopus | eid_2-s2.0-85034105354 | - |
dc.identifier.hkuros | 273318 | - |
dc.identifier.spage | 1973 | - |
dc.identifier.epage | 1977 | - |
dc.identifier.eissn | 2157-8117 | - |
dc.identifier.isi | WOS:000430345202008 | - |