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Jensen-Shannon divergence as a measure of distinguishability between mixed quantum states
Open accessAbstract
We discuss an alternative to relative entropy as a measure of distance between mixed quantum states. The proposed quantity is an extension to the realm of quantum theory of the Jensen-Shannon divergence (JSD) between probability distributions. The JSD has several interesting properties. It arises in information theory and, unlike the Kullback-Leibler divergence, it is symmetric, always well-defined, and bounded. We show that the quantum JSD shares with the relative entropy most of the physically relevant properties, in particular those required for a ``good'' quantum distinguishability measure. We relate it to other known quantum distances and we suggest possible applications in the field of the quantum information theory.
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Cites
Quantum Computation and Quantum Information
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895
Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
Werner, R. F. (1989) · Physical Review A · doi:10.1103/physreva.40.4277 · Cited by 4,062
Statistical distance and the geometry of quantum states
Braunstein, S. L., & Caves, C. M. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.3439 · Cited by 3,176
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Metadata
- Authors
- Majtey, A. P., Lamberti, P. W., & Prato, D. P.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2005-11-11
- Volume
- 72
- Issue
- 5
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2014687456
- Cited by
- 220
- References
- 3
- FWCI
- 3.09
- Type
- journal article
- Language
- en
- Open access
- green
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- Majtey, A. P., Lamberti, P. W., & Prato, D. P. (2005). Jensen-Shannon divergence as a measure of distinguishability between mixed quantum states. Physical Review A. https://doi.org/10.1103/physreva.72.052310
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