Quantum Parrondo's games under decoherence
Salman Khan, M. Ramzan, M. K. Khan

TL;DR
This paper investigates how different quantum noise channels affect the outcomes of quantum Parrondo's games, revealing that entanglement and quantum phases significantly influence payoffs under decoherence.
Contribution
It provides a detailed analysis of the impact of amplitude damping, depolarizing, and phase damping channels on quantum Parrondo's games, highlighting the role of entanglement and quantum phases.
Findings
Amplitude damping can enhance payoffs and maintain winning strategies.
Depolarizing channel tends to turn the game into a losing one.
Phase damping does not influence the game outcomes.
Abstract
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 for the maximally entangled initial state in the presence of decoherence, the quantum phases strongly influence the payoffs for various sequences of the game. The effect of amplitude damping channel leads to winning payoffs. Whereas the depolarizing and phase damping channels lead to the losing payoffs. In case of amplitude damping channel, the payoffs are enhanced in the presence of decoherence for the sequence AAB. This is because the quantum phases interfere constructively which leads to the quantum enhancement of the payoffs in comparison to the undecohered case. It is also seen that the quantum phase angles damp the payoffs significantly in the…
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