The effect of quantum memory on quantum games
arXiv:0807.2501 · doi:10.1088/1751-8113/41/5/055307
Abstract
We study quantum games with correlated noise through a generalized quantization scheme. We investigate the effects of memory on quantum games, such as Prisoner's Dilemma, Battle of the Sexes and Chicken, through three prototype quantum-correlated channels. It is shown that the quantum player enjoys an advantage over the classical player for all nine cases considered in this paper for the maximally entangled case. However, the quantum player can also outperform the classical player for subsequent cases that can be noted in the case of the Battle of the Sexes game. It can be seen that the Nash equilibria do not change for all the three games under the effect of memory.
26 pages, 7 ps figures
References in corpus (18)
- Quantum Games and Quantum Strategies
- Reliable Quantum Computers
- Quantum strategies
- Multi-Player Quantum Games
- Decoherence-Free Subspaces and Subsystems
- Experimental realization of quantum games on a quantum computer
- A Quantum Approach To Static Games Of Complete Information
- Entanglement enhanced information transmission over a quantum channel with correlated noise
- Quantum Games
- Quantum version of the Monty Hall problem
- Evolutionarily Stable Strategies in Quantum Games
- Quantum games with decoherence
- Time correlated quantum amplitude damping channel
- Efficiency and formalism of quantum games
- Dilemma and Quantum Battle of Sexes
- Entanglement enhanced classical capacity of quantum communication channels with correlated noise in arbitrary dimensions
- Generalized Quantization Scheme for Two-Person Non-Zero-Sum Games
- Quantum Games with Correlated Noise
Cited by in corpus (13)
- Quantum Model of Bertrand Duopoly
- Quantum Stackelberg duopoly in the presence of correlated noise
- Noise effects in a three-player Prisoner's Dilemma quantum game
- N-player quantum games in an EPR setting
- Quantum Parrondo's games under decoherence
- Analyzing three-player quantum games in an EPR type setup
- Analysis of two-player quantum games in an EPR setting using geometric algebra
- Distinguishing quantum channels via magic squares game
- Quantum Monty Hall problem under decoherence
- Noisy non-transitive quantum games
- Communication aspects of a three-player Prisoner's Dilemma quantum game
- Multiparty quantum cryptographic protocol
- Environmental influences on Quantum Monty Hall problem