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We study the effect of quantum noise on history dependent quantum Parrondo's games by taking into account different noise channels. Our calculations show that entanglement can play a crucial role in quantum Parrondo's games. It is seen that…

Quantum Physics · Physics 2012-02-13 Salman Khan , M. Ramzan , M. K. Khan

The effect of entanglement and correlated noise in a four-player quantum Minority game is investigated. Different time correlated quantum memory channels are considered to analyze the Nash equilibrium payoff of the 1st player. It is seen…

Quantum Physics · Physics 2013-05-10 M. Ramzan , M. K. Khan

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…

Quantum Physics · Physics 2013-01-15 M. Ramzan

We study the influence of entanglement and correlated noise using correlated amplitude damping, depolarizing and phase damping channels on the quantum Stackelberg duopoly. Our investigations show that under the action of amplitude damping…

Quantum Physics · Physics 2012-02-13 Salman Khan , M. Ramzan , M. K. Khan

Quantum game theory is a rapidly evolving subject that extends beyond physics. In this research work, a schematic picture of quantum game theory has been provided with the help of the famous game Prisoners' Dilemma. It has been considered…

Quantum Physics · Physics 2021-03-31 Kaushik Naskar

We study the effect of decoherence on quantum Monty Hall problem under the influence of amplitude damping, depolarizing and dephasing channels. It is shown that under the effect of decoherence, there is a Nash equilibrium of the game in…

Quantum Physics · Physics 2015-05-13 Salman Khan , M. Ramzan , M. K. Khan

Cooperative effects in the loss (the amplitude damping) and decoherence (the phase damping) of the qubits (two-state quantum systems) due to the inevitable coupling to the same environment are investigated. It is found that the qubits…

Quantum Physics · Physics 2007-05-23 Lu-Ming Duan , Guang-Can Guo

A protocol for considering decoherence in quantum games is presented. Results for two-player, two-strategy quantum games subject to decoherence are derived and some specific examples are given. Decoherence in other types of quantum games is…

Quantum Physics · Physics 2009-11-10 Adrian P. Flitney , Derek Abbott

We study the three-player Prisoner's Dilemma game under the effect of decoherence and correlated noise. It is seen that the quantum player is always better off over the classical players. It is also seen that the game's Nash equilibrium…

Quantum Physics · Physics 2009-02-16 M. Ramzan , M. K. Khan

We are considering a quantum version of the penny flip game, whose implementation is influenced by the environment that causes decoherence of the system. In order to model the decoherence we assume Markovian approximation of open quantum…

Quantum Physics · Physics 2020-11-10 Piotr Gawron , Dariusz Kurzyk , Łukasz Pawela

This article presents a comprehensive study of the impact of decoherence on the average correlation for pure quantum states. We explore two primary mechanisms of decoherence: phase damping and amplitude damping, each having distinct effects…

Quantum Physics · Physics 2024-03-19 A. M. Silva

We reformulate the quantum Monty Hall problem in the presence of decoherence. The decoherence destroys the fairness of the game. A new Nash equilibrium for a particular strategy profile in the presence of decoherence emerges. It is shown…

Quantum Physics · Physics 2012-03-28 Salman Khan , M. Ramzan , M. K. Khan

We consider a coalitional game with the same payoff for all players. To maximize the payoff, the players need to use one collective strategy, if all players are in certain states, and the other strategy otherwise. The current state of each…

Quantum Physics · Physics 2007-05-23 Gleb V. Klimovitch

In this work we study several models of decoherence and how different quantum maps and algorithms react when perturbed by them. Following closely Ref. [1], generalizations of the three paradigmatic one single qubit quantum channels (these…

Quantum Physics · Physics 2007-05-23 Mario Leandro Aolita , Marcos Saraceno

A quantum version of the Minority game for an arbitrary number of agents is considered. It is known that when the number of agents is odd, quantizing the game produces no advantage to the players, but for an even number of agents new Nash…

Quantum Physics · Physics 2009-11-11 Adrian P. Flitney , Lloyd C. L. Hollenberg

We study the effect of decoherence on a qubit-qutrit system under the influence of global, local and multilocal decoherence in non-inertial frames. We show that the entanglement sudden death can be avoided in non-inertial frames in the…

Quantum Physics · Physics 2012-04-10 M. Ramzan , M. K. Khan

We study the effect of quantum noise in 3 by 3 entangled quantum games. By considering different noisy quantum channels we analyze that how a two-player, three-strategy Rock-Scissor-Paper game is influenced by the quantum noise. We consider…

Quantum Physics · Physics 2011-01-25 M. Ramzan , Salman Khan , M. Khalid Khan

We study the effect of quantum memory in magic squares game when played in quantum domain. We consider different noisy quantum channels and analyze their influence on the magic squares quantum pseudo-telepathy game. We show that the…

Quantum Physics · Physics 2011-01-25 M. Ramzan , M. K. Khan

It is commonly stated that decoherence in open quantum systems is due to growing entanglement with an environment. In practice, however, surprisingly often decoherence may equally well be described by random unitary dynamics without…

Quantum Physics · Physics 2009-10-29 Julius Helm , Walter T. Strunz

We analyze quantum game with correlated noise through generalized quantization scheme. Four different combinations on the basis of entanglement of initial quantum state and the measurement basis are analyzed. It is shown that the advantage…

Quantum Physics · Physics 2009-11-13 Ahmad Nawaz , A. H. Toor
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