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Structure of minimum error discrimination for linearly independent states

Title
Structure of minimum error discrimination for linearly independent states
Author
김은상
Issue Date
2019-05
Publisher
AMER PHYSICAL SOC
Citation
PHYSICAL REVIEW A, v. 99, No. 5, Article no. 052334
Abstract
In this paper we study the minimum error discrimination problem (MED) for ensembles of linearly independent (LI) states. We define a bijective map from the set of those ensembles to itself and we show that the pretty good measurement (PGM) and the optimal measurement for the MED are related by the map. In particular, the fixed points of the map are those ensembles for which the PGM is the optimal measurement. Also, we simplify the optimality conditions for the measurement of an ensemble of LI states.
URI
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.99.052334http://repository.hanyang.ac.kr/handle/20.500.11754/114423
ISSN
2469-9926; 2469-9934
DOI
10.1103/PhysRevA.99.052334
Appears in Collections:
COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > APPLIED MATHEMATICS(응용수학과) > Articles
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