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Discriminating states : the quantum Chernoff bound
Audenaert, K. M. R. (Imperial College London. Institute for Mathematical Sciences)
Calsamiglia Costa, John (Universitat Autònoma de Barcelona. Departament de Física)
Muñoz Tapia, Ramón (Universitat Autònoma de Barcelona. Departament de Física)
Bagán Capella, Emili (Universitat Autònoma de Barcelona. Departament de Física)
Masanes, Ll. (University of Cambridge. Department of Applied Mathematics and Theoretical Physics)
Acín, Antonio (Institut de Ciències Fotòniques (Castelldefels, Catalunya))
Verstraete, F. (Universität Wien. Fakultät für Physik)
American Physical Society

Data: 2007
Resum: 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.
Drets: Tots els drets reservats.
Llengua: Anglès
Document: article ; publishedVersion
Publicat a: Physical review letters, Vol. 98, Issue 16 (April 2007) , p. 160501, ISSN 0031-9007

DOI: 10.1103/PhysRevLett.98.160501

4 p, 100.6 KB

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