Unambiguous discrimination of mixed states

Terry Rudolph; Robert W. Spekkens; Peter Shipley Turner

doi:10.1103/PhysRevA.68.010301

Unambiguous discrimination of mixed states

Terry Rudolph, Robert W. Spekkens, Peter Shipley Turner

Research output: Contribution to journal › Article (Academic Journal) › peer-review

25 Citations (Scopus)

Abstract

We present the conditions under which probabilistic error-free discrimination of mixed states is possible, and provide upper and lower bounds on the maximum probability of success for the case of two mixed states. We solve certain special cases exactly, and demonstrate how the problems of state filtering and state comparison can be recast as problems of mixed state unambiguous discrimination.

Original language	English
Journal	Physical Review A: Atomic, Molecular and Optical Physics
DOIs	https://doi.org/10.1103/PhysRevA.68.010301
Publication status	Published - 11 Mar 2003

Bibliographical note

4.1 pages, crucial typos fixed. Final version, to be published in Phys. Rev. A (Rapid Comm)

Keywords

quant-ph

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10.1103/PhysRevA.68.010301

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title = "Unambiguous discrimination of mixed states",

abstract = "We present the conditions under which probabilistic error-free discrimination of mixed states is possible, and provide upper and lower bounds on the maximum probability of success for the case of two mixed states. We solve certain special cases exactly, and demonstrate how the problems of state filtering and state comparison can be recast as problems of mixed state unambiguous discrimination.",

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note = "4.1 pages, crucial typos fixed. Final version, to be published in Phys. Rev. A (Rapid Comm)",

year = "2003",

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doi = "10.1103/PhysRevA.68.010301",

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AU - Spekkens, Robert W.

AU - Turner, Peter Shipley

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PY - 2003/3/11

Y1 - 2003/3/11

N2 - We present the conditions under which probabilistic error-free discrimination of mixed states is possible, and provide upper and lower bounds on the maximum probability of success for the case of two mixed states. We solve certain special cases exactly, and demonstrate how the problems of state filtering and state comparison can be recast as problems of mixed state unambiguous discrimination.

AB - We present the conditions under which probabilistic error-free discrimination of mixed states is possible, and provide upper and lower bounds on the maximum probability of success for the case of two mixed states. We solve certain special cases exactly, and demonstrate how the problems of state filtering and state comparison can be recast as problems of mixed state unambiguous discrimination.

KW - quant-ph

U2 - 10.1103/PhysRevA.68.010301

DO - 10.1103/PhysRevA.68.010301

M3 - Article (Academic Journal)

SN - 1050-2947

JO - Physical Review A: Atomic, Molecular and Optical Physics

JF - Physical Review A: Atomic, Molecular and Optical Physics

ER -

Unambiguous discrimination of mixed states

Abstract

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