Quantum guessing games with posterior information. (1st July 2022)

• Record Type: Journal Article
• Authors: Carmeli, Claudio; Heinosaari, Teiko; Toigo, Alessandro
• Is Part Of: Reports on progress in physics. Volume 85:Number 7(2022)
• Publication Date: 2022-07-01
• Subjects: quantum guessing game -- state discrimination -- quantum incompatibility; Physics -- Periodicals; 530.05
• DOI: 10.1088/1361-6633/ac6f0e
• Languages: English
• ISSNs: 0034-4885

Abstract

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.