Discriminating States: The Quantum Chernoff Bound: The quantum Chernoff bound

Koenraad M R Audenaert, J. Calsamiglia, R. Munoz-Tapia, E Bagan, L. Masanes, Antonio Acin, Frank Verstraete

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Abstract

We consider the problem of discriminating two different quantum states in the setting of asymptotically many copies, and determine the minimal probability of error. This leads to the identification of the quantum Chernoff bound, thereby solving a long-standing open problem. The bound reduces to the classical Chernoff bound when the quantum states under consideration commute. The quantum Chernoff bound is the natural symmetric distance measure between quantum states because of its clear operational meaning and because it does not seem to share some of the undesirable features of other distance measures.
Original languageEnglish
Article number160501
Number of pages4
JournalPhysical Review Letters
Volume98
Issue number16
DOIs
Publication statusPublished - 20 Apr 2007

Austrian Fields of Science 2012

  • 103025 Quantum mechanics

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