Minimum-error discrimination of qubit states: Methods, solutions, and properties

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We show a geometric formulation for minimum-error discrimination of qubit states that can be applied to arbitrary sets of qubit states given with arbitrary a priori probabilities. In particular, when qubit states are given with equal a priori probabilities, we provide a systematic way of finding optimal discrimination and the complete solution in a closed form. This generally gives a bound to cases when prior probabilities are unequal. Then it is shown that the guessing probability does not depend on detailed relations among the given states, such as the angles between them, but on a property that can be assigned by the set of given states itself. This also shows how a set of quantum states can be modified such that the guessing probability remains the same. Optimal measurements are also characterized accordingly, and a general method of finding them is provided. DOI: 10.1103/PhysRevA.87.012334
Publisher
AMER PHYSICAL SOC
Issue Date
2013-01
Language
English
Article Type
Article
Keywords

QUANTUM STATES

Citation

PHYSICAL REVIEW A, v.87, no.1

ISSN
1050-2947
DOI
10.1103/PhysRevA.87.012334
URI
http://hdl.handle.net/10203/244365
Appears in Collection
EE-Journal Papers(저널논문)
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