TY - JOUR

T1 - A generalized wave-particle duality relation for finite groups

AU - Bagan, Emilio

AU - Calsamiglia, John

AU - Bergou, János A.

AU - Hillery, Mark

PY - 2018/9/14

Y1 - 2018/9/14

N2 - © 2018 IOP Publishing Ltd. Wave-particle duality relations express the fact that knowledge about the path a particle took suppresses information about its wave-like properties, in particular, its ability to generate an interference pattern. Recently, duality relations in which the wave-like properties are quantified by using measures of quantum coherence have been proposed. Quantum coherence can be generalized to a property called group asymmetry. Here we derive a generalized duality relation involving group asymmetry, which is closely related to the success probability of discriminating between the actions of the elements of a group. The second quantity in the duality relation, the one generalizing which path information, is related to information about the irreducible representations that make up the group representation.

AB - © 2018 IOP Publishing Ltd. Wave-particle duality relations express the fact that knowledge about the path a particle took suppresses information about its wave-like properties, in particular, its ability to generate an interference pattern. Recently, duality relations in which the wave-like properties are quantified by using measures of quantum coherence have been proposed. Quantum coherence can be generalized to a property called group asymmetry. Here we derive a generalized duality relation involving group asymmetry, which is closely related to the success probability of discriminating between the actions of the elements of a group. The second quantity in the duality relation, the one generalizing which path information, is related to information about the irreducible representations that make up the group representation.

KW - coherence

KW - group asymmetry

KW - wave-particle duality

U2 - 10.1088/1751-8121/aabb21

DO - 10.1088/1751-8121/aabb21

M3 - Article

SN - 1751-8113

VL - 51

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

M1 - 414015

ER -