A generalized wave-particle duality relation for finite groups

Emilio Bagan, John Calsamiglia, János A. Bergou, Mark Hillery

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)


© 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 languageEnglish
Article number414015
JournalJournal of Physics A: Mathematical and Theoretical
Publication statusPublished - 14 Sept 2018


  • coherence
  • group asymmetry
  • wave-particle duality


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