Relations between coherence and path information

We find two relations between coherence and path-information in a multi-path 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 t...

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Bibliographic Details
Published inarXiv.org
Main Authors Bagan, Emilio, Bergou, Janos A, Cottrell, Seth S, Hillery, Mark
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 10.12.2015
Subjects
Coherence
Entropy
Error detection
Physics - Quantum Physics
Quantum phenomena
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Summary:We find two relations between coherence and path-information in a multi-path 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:2331-8422
DOI:10.48550/arxiv.1509.04592