2016/09/12 by Fatih Ozaydin, Fatih Özaydin, Ozaydin, Fatih
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Opinion Dynamics and Social Influence #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1609.03881
5 pages, 4 color figures
arxiv created 2016/09/12 · openalex publication_date 2016/09/12 · arxiv updated 2016/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Dzyaloshinskii-Moriya (DM) interaction has been proven to excite entanglement of spin systems, enhancing the capability of realizing various quantum tasks such as teleportation. In this work, we consider the DM interaction -to the best of our knowledge, for the first time in quantum game theory. We study the winning probability of magic square game played with the thermal entangled state of spin models under external magnetic fields and DM interaction. We analytically show that although DM interaction excites the entanglement of the system as expected, it surprizingly reduces the winning probability of the game, acting like temperature or magnetic fields, and also show that the effects of DM interaction and inhomogeneous magnetic field on the winning probability are identical. In addition, we show that XXZ model is considerably more robust than XX model against destructive effects. Our results can open new insights for quantum information processing with spin systems.