Relations between Coherence and Path Information

Emilio Bagan, János A. Bergou, Seth S. Cottrell, and Mark Hillery
Phys. Rev. Lett. 116, 160406 – Published 22 April 2016

Abstract

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.

  • Received 20 September 2015

DOI:https://doi.org/10.1103/PhysRevLett.116.160406

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalGeneral Physics

Authors & Affiliations

Emilio Bagan1,3, János A. Bergou1,2, Seth S. Cottrell4, and Mark Hillery1,2

  • 1Department of Physics and Astronomy, Hunter College of the City University of New York, 695 Park Avenue, New York, New York 10065, USA
  • 2Graduate Center of the City University of New York, 365 Fifth Avenue, New York, New York 10016, USA
  • 3Física Teòrica: Informació i Fenòmens Quàntics, Departament de Física, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain
  • 4Department of Mathematics, New York City College of Technology, 300 Jay Street, Brooklyn, New York 11201, USA

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Issue

Vol. 116, Iss. 16 — 22 April 2016

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