Journal
PHYSICAL REVIEW LETTERS
Volume 116, Issue 16, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.116.160406
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Funding
- John Templeton Foundation
- PSC-CUNY
- Spanish MICINN [FIS2013-40627-P]
- Generalitat de Catalunya CIRIT [2014SGR-966]
- ERDF (European Regional Development Fund)
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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 quantumcoherence. 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.
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