Relations between Coherence and Path Information

We find two relations between coherence and path information in a multipath interferometer. The first builds on earlier results for the two-path interferometer, which used minimum-error state discrimination between detector states to provide the path information. For visibility, which was used in th...

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Bibliographic Details
Published in:Physical review letters 2016-04, Vol.116 (16), p.160406-160406, Article 160406
Main Authors: Bagan, Emilio, Bergou, János A, Cottrell, Seth S, Hillery, Mark
Format: Article
Language:English
Subjects:
Coherence
Construction
Detectors
Discrimination
Entropy
Information dissemination
Interferometers
Quantum phenomena
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Summary:We find two relations between coherence and path information in a multipath interferometer. The first builds on earlier results for the two-path interferometer, which used minimum-error state discrimination between detector states to provide the path information. For visibility, which was used in the two-path case, we substitute a recently defined l_{1} measure of quantum coherence. The second is an entropic relation in which the path information is characterized by the mutual information between the detector states and the outcome of the measurement performed on them, and the coherence measure is one based on relative entropy.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.116.160406