Eisert, Wilkens, and Lewenstein Reply:

Eisert, Jens; Wilkens, Martin; Lewenstein, Maciej

doi:10.1103/physrevlett.87.069802

Cited by 155 publications

(269 citation statements)

References 2 publications

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“…Finally, we emphasize that, for the class of games discussed here (i.e., Bayesian games), quantum mechanics provides a clear and indisputable advantage over classical resources, in the most general sense. This is in contrast with some previous approaches to quantum games 18 , based on non-Bayesian games (or complete games, such as Prisoner's dilemma), for which a quantum advantage is achieved only under specific restrictions, the relevance of which has been much debated [19][20][21][22] .…”

mentioning

confidence: 73%

“…Considering the quantum case, it is important to emphasize that the advantage provided by quantum resources is here fully general. Hence it does not rely on any specific restrictions, contrary to previous approaches to quantum games 18 , which then lead to controversy [19][20][21][22] . The main point is that these approaches focused on games with complete information (such as Prisoner's dilemma), where the notion of type is not present, in contrast to Bayesian games.…”

Section: Discussionmentioning

confidence: 99%

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Connection between Bell nonlocality and Bayesian game theory

2013

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In 1964, Bell discovered that quantum mechanics is a nonlocal theory. Three years later, in a seemingly unconnected development, Harsanyi introduced the concept of Bayesian games. Here we show that, in fact, there is a deep connection between Bell nonlocality and Bayesian games, and that the same concepts appear in both fields. This link offers interesting possibilities for Bayesian games, namely of allowing the players to receive advice in the form of nonlocal correlations, for instance using entangled quantum particles or more general nosignalling boxes. This will lead to novel joint strategies, impossible to achieve classically. We characterize games for which nonlocal resources offer a genuine advantage over classical ones. Moreover, some of these strategies represent equilibrium points, leading to the notion of quantum/no-signalling Nash equilibrium. Finally, we describe new types of question in the study of nonlocality, namely the consideration of nonlocal advantage given a set of Bell expressions.

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confidence: 73%

Section: Discussionmentioning

confidence: 99%

Connection between Bell nonlocality and Bayesian game theory

2013

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“…If the entangling gate depends upon some parameter, then the classical game can be reproduced when this parameter is set to zero, representing no entanglement. In the present case this is problematic since the entangling gateĴ used by Eisert [4] and others [6,7,15,16,18] does not commute with the classical limit (all phases → 0) ofB, which was Eisert's motivation for the choice ofĴ. Thus this protocol would not reproduce the classical game when the phases are set to zero.…”

Section: A Quantum Parrondo Gamementioning

confidence: 87%

“…. 0 , apply an entangling gate, then the operators associated with the players strategies and finally a dis-entangling gate [4]. A measurement on the resulting state is taken and then the payoff is determined.…”

Section: A Quantum Parrondo Gamementioning

confidence: 99%

Quantum Parrondo's games

Flitney

Abbott

2002

Physica A: Statistical Mechanics and its Applications

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Parrondo's Paradox arises when two losing games are combined to produce a winning one. A history dependent quantum Parrondo game is studied where the rotation operators that represent the toss of a classical biased coin are replaced by general SU (2) operators to transform the game into the quantum domain. In the initial state, a superposition of qubits can be used to couple the games and produce interference leading to quite different payoffs to those in the classical case.

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“…The work of Knill, Laflamme and Milburn (KLM) has shown that in § bill.munro@hp.com principle universal quantum computation is possible with linear optics [1], and there have been a number of recent experimental demonstrations of its gate components [2,3,4]. However, due to the probabilistic nature of gates in linear optical QIP, it is practically rather inefficient (in terms of photon resources) to implement [5,6,7].…”

Section: Introductionmentioning

confidence: 99%

Efficient optical quantum information processing

Munro

Nemoto

Spiller

et al. 2005

J. Opt. B: Quantum Semiclass. Opt.

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Abstract. Quantum information offers the promise of being able to perform certain communication and computation tasks that cannot be done with conventional information technology (IT). Optical Quantum Information Processing (QIP) holds particular appeal, since it offers the prospect of communicating and computing with the same type of qubit. Linear optical techniques have been shown to be scalable, but the corresponding quantum computing circuits need many auxiliary resources. Here we present an alternative approach to optical QIP, based on the use of weak cross-Kerr nonlinearities and homodyne measurements. We show how this approach provides the fundamental building blocks for highly efficient non-absorbing single photon number resolving detectors, two qubit parity detectors, Bell state measurements and finally near deterministic control-not (CNOT) gates. These are essential QIP devices.

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Eisert, Wilkens, and Lewenstein Reply:

Cited by 155 publications

References 2 publications

Connection between Bell nonlocality and Bayesian game theory

Connection between Bell nonlocality and Bayesian game theory

Quantum Parrondo's games

Efficient optical quantum information processing

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