Quantum guessing games with posterior information

Claudio Carmeli, Teiko Heinosaari (Corresponding Author), Alessandro Toigo

Research output: Contribution to journalReview Articlepeer-review

Abstract

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.

Original languageEnglish
Article number074001
Number of pages18
JournalReports on Progress in Physics
Volume85
Issue number7
DOIs
Publication statusPublished - 16 Jun 2022
MoE publication typeA2 Review article in a scientific journal

Keywords

  • quantum guessing game
  • quantum incompatibility
  • state discrimination

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