Relations between Coherence and Path Information

Emilio Bagan, János A. Bergou, Seth S. Cottrell, Mark Hillery

Research output: Contribution to journalArticleResearchpeer-review

127 Citations (Scopus)


© 2016 American Physical Society. 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 l1 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.
Original languageEnglish
Article number160406
JournalPhysical Review Letters
Issue number16
Publication statusPublished - 22 Apr 2016


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