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Discriminating States: The Quantum Cherno® Bound

Author(s): K. M. R. Audenaert, J. Calsamiglia, L. Masanes, R. Munoz-Tapia, A. Acin, E. Bagan, F. Verstraete

Journal: Physical Review Letters

Volume: 98

Page(s): 160501

Year: 2007

DOI Number: 10.1103/PhysRevLett.98.160501

Link: Link to publication

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.

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