TY - JOUR
T1 - Relations between Coherence and Path Information
AU - Bagan, Emilio
AU - Bergou, János A.
AU - Cottrell, Seth S.
AU - Hillery, Mark
PY - 2016/4/22
Y1 - 2016/4/22
N2 - © 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.
AB - © 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.
U2 - 10.1103/PhysRevLett.116.160406
DO - 10.1103/PhysRevLett.116.160406
M3 - Article
SN - 0031-9007
VL - 116
JO - Physical Review Letters
JF - Physical Review Letters
IS - 16
M1 - 160406
ER -