Realizing a 2-D Positive Operator-Valued Measure by Local Operations and Classical Communication

We study the realization of a 2-D positive operator-valued measure (POVM) by local operations and classical communication (LOCC). We derive that any POVM on a 2-D Hilbert space in which each party's space is finite dimensional can be realized by one-way LOCC. This implies that any optimal discr...

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Bibliographic Details
Published inIEEE transactions on information theory Vol. 64; no. 1; pp. 613 - 621
Main Authors Nakahira, Kenji, Usuda, Tsuyoshi Sasaki
Format Journal Article
LanguageEnglish
Published New York IEEE 01.01.2018
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Electronic mail
Hilbert space
Indexes
Information science
local operations and classical communication
Optimality criteria
Optimization
Positive operator valued measure
Quantum entanglement
Quantum state discrimination
Quantum theory
Receivers
two-dimensional Hilbert space
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Summary:We study the realization of a 2-D positive operator-valued measure (POVM) by local operations and classical communication (LOCC). We derive that any POVM on a 2-D Hilbert space in which each party's space is finite dimensional can be realized by one-way LOCC. This implies that any optimal discrimination of quantum states spanning such a 2-D Hilbert space is possible by one-way LOCC, regardless of the optimality criterion used and how entangled the states are.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2016.2549994