Quantum Two Player Game in Thermal Environment

Dajka, Jerzy; Kłoda, Dawid; Łobejko, Marcin; Sładkowski, Jan

doi:10.1371/journal.pone.0134916

Cited by 11 publications

(8 citation statements)

References 24 publications

(30 reference statements)

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“…The European Physical Journal Special Topics of geometric phases of qubits [18], thermodynamic properties of nano-systems [19] and quantum games [20]. Our present work continues and supplements our previous studies of quantum phenomena in a presence of Davies environment modelled via the Davies maps [21] related to quantum information processing.…”

supporting

confidence: 71%

Multi-partite entanglement in Davies environment

Jałowiecki

Dajka

2019

Eur. Phys. J. Spec. Top.

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We analyse dynamics of genuinely multi-partite entanglement of N-qubit states initially prepared in the form of so called X-matrices with one qubit coupled to a Davies-type environment. We develop an analytic formula for genuinely multi-partite concurrence of the investigated states as a function of time and analyze its time evolution with an emphasis on the qualitative difference between systems affected by a pure decoherence only and those which do dissipate energy at finite temperature.

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confidence: 71%

Multi-partite entanglement in Davies environment

Jałowiecki

Dajka

2019

Eur. Phys. J. Spec. Top.

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“…As the Davies semigroups can be rigorously and consistently derived from microscopic models of open systems they sat-isfy thermodynamic and statistical-mechanical properties of open quantum systems such as the detailed balance condition and the Gibbs canonical distribution in the stationary regime [17]. The Davies method has been successfully used in recent studies of various problems in quantum information and physics of open quantum systems including teleportation [18], entanglement dynamics [19], quantum discord [20,21], properties of geometric phases of qubits [22], thermodynamic properties of nano-systems [23] and quantum games [24]. In this paper we consider only certain elements of Davies semigroups: the Davies maps D = D(p, A, G, ω, t) which acts as follows [25]:…”

Section: Davies Decoherencementioning

confidence: 99%

Distinguishing quantum states using time-traveling qubits in the presence of thermal environments

2017

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We consider quantum circuits with time travel designed for distinguishing specific non-orthogonal quantum states in two most popular models: Deutsch's and postselected. We modify them by a presence of weakly coupled thermal environment. Using the Davies approximation we study how the thermal noise affects an ability of the circuits to distinguish non-orthogonal quantum states. We show that for purely dephasing environment a 'paradoxial power' of such circuits remains preserved. We also present a physics-based argument for conditions of validity of the maximum entropy rule introduced by David Deutsch for resolving the uniqueness ambiguity in a circuit with time travel.

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“…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]. There is also an increasing interest on playing games with Heisen- * Electronic address: MansurSah@gmail.com berg spin chains [25] and thermal entanglement [26].…”

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 Two Player Game in Thermal Environment

Cited by 11 publications

References 24 publications

Multi-partite entanglement in Davies environment

Multi-partite entanglement in Davies environment

Distinguishing quantum states using time-traveling qubits in the presence of thermal environments

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

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