Abstract
© 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.
Original language | English |
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Article number | 414015 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 51 |
DOIs | |
Publication status | Published - 14 Sep 2018 |
Keywords
- coherence
- group asymmetry
- wave-particle duality