A2 Refereed review article in a scientific journal
Quantum guessing games with posterior information
Authors: Carmeli Claudio, Heinosaari Teiko, Toigo Alessandro
Publisher: IOP Publishing Ltd
Publication year: 2022
Journal: Reports on Progress in Physics
Journal name in source: REPORTS ON PROGRESS IN PHYSICS
Journal acronym: REP PROG PHYS
Article number: 074001
Volume: 85
Issue: 7
Number of pages: 18
ISSN: 0034-4885
eISSN: 1361-6633
DOI: https://doi.org/10.1088/1361-6633/ac6f0e
Web address : https://iopscience.iop.org/article/10.1088/1361-6633/ac6f0e
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/175841422
Preprint address: https://arxiv.org/abs/2107.11873v1
Quantum guessing games form a versatile framework for studying different tasks of information processing. A quantum guessing game with posterior information uses quantum systems to encode messages and classical communication to give partial information after a quantum measurement has been performed. We present a general framework for quantum guessing games with posterior information and derive structure and reduction theorems that enable to analyze any such game. We formalize symmetry of guessing games and characterize the optimal measurements in cases where the symmetry is related to an irreducible representation. The application of guessing games to incompatibility detection is reviewed and clarified. All the presented main concepts and results are demonstrated with examples.
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