Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Beny, Cedric | - |
dc.date.accessioned | 2018-09-21T02:08:35Z | - |
dc.date.available | 2018-09-21T02:08:35Z | - |
dc.date.issued | 2009-06 | - |
dc.identifier.citation | JOURNAL OF MATHEMATICAL PHYSICS, v. 50, No. 6, Page. 1-24 | en_US |
dc.identifier.issn | 0022-2488 | - |
dc.identifier.uri | https://aip.scitation.org/doi/abs/10.1063/1.3155783 | - |
dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/76152 | - |
dc.description.abstract | We present a generalization of quantum error correction to infinite-dimensional Hilbert spaces. We find that, under relatively mild conditions, much of the structure known from systems in finite-dimensional Hilbert spaces carries straightforwardly over to infinite dimensions. We also find that, at least in principle, there exist qualitatively new classes of quantum error correcting codes that have no finite-dimensional counterparts. We begin with a shift of focus from states to algebras of observables. Standard subspace codes and subsystem codes are seen as the special case of algebras of observables given by finite-dimensional von Neumann factors of type I. The new classes of codes that arise in infinite dimensions are shown to be characterized by von Neumann algebras of types II and III, for which we give in-principle physical examples. (C) 2009 American Institute of Physics. | en_US |
dc.description.sponsorship | Part of this work is contained in the first named author's doctoral thesis. 5 The authors were partly supported by the Discovery Grant, Discovery Accelerator Supplement, and Canada Research Chair programs of NSERC, by Ontario Early Researcher and PREA Awards, and by CFI and OIT. The Centre for Quantum Technologies is funded by the Singapore Ministry of Education and the National Research Foundation as part of the Research Centres of Excellence program. A. K. acknowledges the kind hospitality received at the University of Queensland during his sabbatical. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | AMER INST PHYSICS | en_US |
dc.subject | CODES | en_US |
dc.subject | VARIABLES | en_US |
dc.title | Quantum error correction on infinite-dimensional Hilbert spaces | en_US |
dc.type | Article | en_US |
dc.relation.no | 6 | - |
dc.relation.volume | 50 | - |
dc.identifier.doi | 10.1063/1.3155783 | - |
dc.relation.page | 1-24 | - |
dc.relation.journal | JOURNAL OF MATHEMATICAL PHYSICS | - |
dc.contributor.googleauthor | Beny, Cedric | - |
dc.contributor.googleauthor | Kempf, Achim | - |
dc.contributor.googleauthor | Kribs, David W. | - |
dc.relation.code | 2009205393 | - |
dc.sector.campus | E | - |
dc.sector.daehak | COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E] | - |
dc.sector.department | DEPARTMENT OF APPLIED MATHEMATICS | - |
dc.identifier.pid | cbeny | - |
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