dorsal/arxiv
View SchemaThe Quantum Chernoff Bound
| Authors | K. M. R. Audenaert, J. Calsamiglia, Ll. Masanes, R. Munoz-Tapia, A. Acin, E. Bagan, F. Verstraete |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610027 |
| URL | https://arxiv.org/abs/quant-ph/0610027 |
| DOI | 10.1103/PhysRevLett.98.160501 |
| Journal | Phys. Rev. Lett. 98, 160501 (2007) |
Abstract
We consider the problem of discriminating two different quantum states in the setting of asymptotically many copies, and determine the optimal strategy that minimizes the total 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 of the fact that it does not seem to share the undesirable features of other distance measures like the fidelity, the trace norm and the relative entropy.
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"abstract": "We consider the problem of discriminating two different quantum states in the\nsetting of asymptotically many copies, and determine the optimal strategy that\nminimizes the total probability of error. This leads to the identification of\nthe quantum Chernoff bound, thereby solving a long standing open problem. The\nbound reduces to the classical Chernoff bound when the quantum states under\nconsideration commute. The quantum Chernoff bound is the natural symmetric\ndistance measure between quantum states because of its clear operational\nmeaning and because of the fact that it does not seem to share the undesirable\nfeatures of other distance measures like the fidelity, the trace norm and the\nrelative entropy.",
"arxiv_id": "quant-ph/0610027",
"authors": [
"K. M. R. Audenaert",
"J. Calsamiglia",
"Ll. Masanes",
"R. Munoz-Tapia",
"A. Acin",
"E. Bagan",
"F. Verstraete"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.98.160501",
"journal_ref": "Phys. Rev. Lett. 98, 160501 (2007)",
"title": "The Quantum Chernoff Bound",
"url": "https://arxiv.org/abs/quant-ph/0610027"
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