On Error Exponents in Quantum Hypothesis Testing

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dc.creatorOgawa, Tomohiro
dc.creatorHayashi, Masahito
dc.date2002-06-21
dc.date2002-08-14
dc.date.accessioned2026-07-07T06:04:26Z
dc.date.available2026-07-07T06:04:26Z
dc.descriptionIn the simple quantum hypothesis testing problem, upper bounds on the error probabilities are shown based on a key operator inequality between a density operator and its pinching. Concerning the error exponents, the upper bounds lead to a noncommutative analogue of the Hoeffding bound, which is identical with the classical counter part if the hypotheses, composed of two density operators, are mutually commutative. The upper bounds also provide a simple proof of the direct part of the quantum Stein's lemma.
dc.description13 pages, 2 figures, submitted to IEEE trans. Inform. Theory
dc.identifierhttps://arxiv.org/abs/quant-ph/0206151
dc.identifierhttp://arxiv.org/abs/quant-ph/0206151
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90301
dc.subjectQuantum Physics
dc.titleOn Error Exponents in Quantum Hypothesis Testing
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