Minimum-error quantum distinguishability bounds from matrix monotone functions: A comment on 'Two-sided estimates of minimum-error distinguishability of mixed quantum states via generalized Holevo-Curlander bounds' [J. Math. Phys. 50, 032106 (2009)]

Journal Article · Mon Jun 15 00:00:00 EDT 2009 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3148720· OSTI ID:21294161

Tyson, Jon ^[1]

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1. Jefferson Laboratory, Harvard University, Cambridge, Massachusetts 02138 (United States)

Matrix monotonicity is used to obtain upper bounds on minimum-error distinguishability of arbitrary ensembles of mixed quantum states. This generalizes one direction of a two-sided bound recently obtained by the author [J. Tyson, J. Math. Phys. 50, 032106 (2009)]. It is shown that the previously obtained special case has unique properties.

• OSTI ID: 21294161
• Journal Information: Journal of Mathematical Physics, Vol. 50, Issue 6; Other Information: DOI: 10.1063/1.3148720; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ALGEBRA
ERRORS
FUNCTIONS
MATRICES
PROBABILITY
QUANTUM MECHANICS