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Discriminating States: The Quantum Chernoff Bound
Open accessAbstract
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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Cites
The ‘transition probability’ in the state space of a—algebra
Uhlmann, A. (1976) · Reports on Mathematical Physics · doi:10.1016/0034-4877(76)90060-4 · Cited by 1,649
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Braun, D., Adesso, G., Benatti, F., Floreanini, R., Marzolino, U., Mitchell, M. W., & Pirandola, S. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.035006 · Cited by 434
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Tomamichel, M., Colbeck, R., & Renner, R. (2009) · IEEE Transactions on Information Theory · doi:10.1109/tit.2009.2032797 · Cited by 356
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Zanardi, P., Campos Venuti, L., & Giorda, P. (2007) · Physical Review A · doi:10.1103/physreva.76.062318 · Cited by 118
Quantum Weiss–Weinstein bounds for quantum metrology
Lu, X.-M., & Tsang, M. (2016) · Quantum Science and Technology · doi:10.1088/2058-9565/1/1/015002 · Cited by 31
Metadata
- Authors
- Audenaert, K. M. R., Calsamiglia, J., Muñoz-Tapia, R., Bagan, E., Masanes, L., Acin, A., & Verstraete, F.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2007-04-17
- Volume
- 98
- Issue
- 16
- Pages
- 160501-160501
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2033879010
- Cited by
- 524
- References
- 1
- FWCI
- 23.64
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Audenaert, K. M. R., Calsamiglia, J., Muñoz-Tapia, R., Bagan, E., Masanes, L., Acin, A., & Verstraete, F. (2007). Discriminating States: The Quantum Chernoff Bound. Physical Review Letters. https://doi.org/10.1103/physrevlett.98.160501
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