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A quantum version of the Monty Hall problem is proposed inspired by an experimentally-feasible, quantum-optical set-up that resembles the classical game. The expected payoff of the player is studied by analyzing the classical expectation…

Quantum Physics · Physics 2020-06-19 L. F. Quezada , A. Martín-Ruiz , A. Frank , E. Nahmad-Achar

Here, we present the quantum version of a very famous statistical decision problem, whose classical version is counter-intuitive to many. The Monty Hall game can be phrased as a two person game between Alice and Bob. In their pioneering…

Quantum Physics · Physics 2019-01-24 Souvik Paul , Bikash K. Behera , Prasanta K. Panigrahi

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

In the article we analyse how noisiness of quantum channels can influence the magic squares quantum pseudo-telepathy game. We show that the probability of success can be used to determine characteristics of quantum channels. Therefore the…

Quantum Physics · Physics 2008-09-09 P. Gawron , J. A. Miszczak , J. Sladkowski

In this work we propose a quantum version of a generalized Monty Hall game, that is, one in which the parameters of the game are left free, and not fixed on its regular values. The developed quantum scheme is then used to study the expected…

Quantum Physics · Physics 2021-02-03 L. F. Quezada , Shi-Hai Dong

In classical Monty Hall problem, one player can always win with probability 2/3. We generalize the problem to the quantum domain and show that a fair two-party zero-sum game can be carried out if the other player is permitted to adopt…

Quantum Physics · Physics 2009-11-06 Chuan-Feng Li , Yong-Sheng Zhang , Yun-Feng Huang , Guang-Can Guo

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 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

Game versions of the Monty Hall Problem are discussed. The focus is on the principle of eliminating the dominated strategies, both in the zero-sum and noncooperative formulations.

History and Overview · Mathematics 2011-05-10 Alexander Gnedin

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 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

A version of the Monty Hall problem is presented where the players are permitted to select quantum strategies. If the initial state involves no entanglement the Nash equilibrium in the quantum game offers the players nothing more than can…

Quantum Physics · Physics 2009-11-07 Adrian P. Flitney , Derek Abbott

We consider a quantum version of a well-known statistical decision problem, whose solution is, at first sight, counter-intuitive to many. In the quantum version a continuum of possible choices (rather than a finite set) has to be…

Quantum Physics · Physics 2007-05-23 G. M. D'Ariano , R. D. Gill , M. Keyl , B. Kuemmerer , H. Maassen , R. F. Werner

An asymmetric generalization of classical Cournot's duopoly game was introduced and the simulation scheme of its quantized version was analyzed. In this scheme, the player assigned by a 'classical' measurement scheme always wins the player…

Quantum Physics · Physics 2013-06-26 Shang-Bin Li

Probabilistic error cancellation is an attempt to reverse the effect of dissipative noise channels on quantum computers by applying unphysical channels after the execution of a quantum algorithm on noisy hardware. We investigate on general…

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 paper presents a quantum version of the Monty Hall problem based upon the quantum inferring acausal structures, which can be identified with generalization of Bayesian networks. Considered structures are expressed in formalism of…

Quantum Physics · Physics 2016-09-08 Dariusz Kurzyk , Adam Glos

The quantum advantage arising in a simplified multi-player quantum game, is found to be a disadvantage when the game's qubit-source is corrupted by a noisy "demon". Above a critical value of the corruption-rate, or noise-level, the coherent…

Quantum Physics · Physics 2009-11-06 Neil F. Johnson

This paper studies an instance of zero-sum games in which one player (the leader) commits to its opponent (the follower) to choose its actions by sampling a given probability measure (strategy). The actions of the leader are observed by the…

Computer Science and Game Theory · Computer Science 2024-02-06 Emmanouil M Athanasakos , Samir M Perlaza

It is known that Mermin-Peres like proofs of quantum contextuality can furnish non-local games with a guaranteed quantum strategy, when classically no such guarantee can exist. This phenomenon, also called quantum pseudo-telepathy, has been…

Quantum Physics · Physics 2023-10-12 Colm Kelleher , Mohammad Roomy , Frédéric Holweck
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