Distinguishing quantum channels via magic squares game

Ramzan, Muhammad; Khan, M.K.R.

doi:10.1007/s11128-009-0155-4

Cited by 17 publications

(12 citation statements)

References 37 publications

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“…systems [37] and can be used to study the effect of decoherence in such systems [38,39,40,41,42]. In this connection, different damping channels can be used as a theoretical framework to study the influence of decoherence in quantum game problems.…”

Section: Effect Of Decoherencementioning

confidence: 99%

Stochastic Learning in Kolkata Paise Restaurant Problem: Classical \& Quantum Strategies

Chakrabarti¹,

Rajak²,

Sinha³

2022

Preprint

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We will review the results for stochastic learning strategies, both classical (one-shot and iterative) and quantum (one-shot only), for optimizing the available many-choice resources among a large number of competing agents, developed over the last decade in the context of the Kolkata Paise Restaurant Problem. Apart from a few rigorous and approximate analytical results, both for classical and quantum strategies, most of the interesting results on the phase transition behavior (obtained so far for the classical model) using classical Monte Carlo simulations. All these, including the applications to computer science (job or resource allotments in Internet-of-Things), transport engineering (on-line vehicle hire problems), operation research (optimizing efforts for delegated search problem, efficient solution of Travelling Salesman problem), etc will be discussed.

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Section: Effect Of Decoherencementioning

confidence: 99%

Stochastic Learning in Kolkata Paise Restaurant Problem: Classical \& Quantum Strategies

Chakrabarti¹,

Rajak²,

Sinha³

2022

Preprint

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“…MSG is played by two players against a referee and utilizing a pre-shared quantum system of 4 qubits in a specific pure entangled state, players can win the game with unit probability, while players equipped only with classical resources can achieve a winning probability at most 8/9 [18,19]. In practical applications, however, due to inevitable interactions of the state with the environment [20][21][22], or even accelerating players [23], the entanglement of the state may decrease considerably, leading to the decrease of the winning probability even far below the classical limit. On the other hand, Pawela et al have recently showed that in spite of decoherence, the winning probability can be enhanced if each party performs local operations (determined by semi-definite programming) to their qubits [24].…”

Section: Introductionmentioning

confidence: 99%

Quantum pseudo-telepathy in spin systems: the magic square game under magnetic fields and the Dzyaloshinskii–Moriya interaction

Özaydın¹

2020

Laser Phys.

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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.

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“…Quantum games may provide a feasible platform for implementing quantum information processing in physical systems [27] and can be used to probe the influence of decoherence in such systems [6,[28][29][30][31]. In this connection, quantum channels provide a natural theoretical framework for the study of decoherence in noisy quantum communication systems.…”

Section: Introductionmentioning

confidence: 99%

Three-player quantum Kolkata restaurant problem under decoherence

Ramzan

2012

Quantum Inf Process

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Effect of quantum decoherence in a three-player quantum Kolkata restaurant problem is investigated using tripartite entangled qutrit states. Amplitude damping, depolarizing, phase damping, trit-phase flip and phase flip channels are considered to analyze the behaviour of players payoffs. It is seen that Alice's payoff is heavily influenced by the amplitude damping channel as compared to the depolarizing and flipping channels. However, for higher level of decoherence, Alice's payoff is strongly affected by depolarizing noise. Whereas the behaviour of phase damping channel is symmetrical around 50 % decoherence. It is also seen that for maximum decoherence (p=1), the influence of amplitude damping channel dominates over depolarizing and flipping channels. Whereas, phase damping channel has no effect on the Alice's payoff. Therefore, the problem becomes noiseless one at maximum decoherence in case of phase damping channel. Furthermore, the Nash equilibrium of the problem does not change under decoherence.Comment: 11 pages, 4 .eps figure

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Distinguishing quantum channels via magic squares game

Cited by 17 publications

References 37 publications

Stochastic Learning in Kolkata Paise Restaurant Problem: Classical \& Quantum Strategies

Stochastic Learning in Kolkata Paise Restaurant Problem: Classical \& Quantum Strategies

Quantum pseudo-telepathy in spin systems: the magic square game under magnetic fields and the Dzyaloshinskii–Moriya interaction

Three-player quantum Kolkata restaurant problem under decoherence

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