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arXiv · 2102.00777

Quantum Consensus Dynamics by Entangling Maxwell Demon

Sungguen Ryu·Rosa López·Raúl Toral
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Abstract

We introduce a Maxwell demon which generates many-body entanglement robustly against bit-flip noises, which allows us to obtain quantum advantage. Adopting the protocol of the voter model used for opinion dynamics approaching consensus, the demon randomly selects a qubit pair and performs a quantum feedback control, in continuous repetitions. We derive upper bounds of the entropy reduction and the work extraction rates by demon's operation, which are determined by a competition between the quantum-classical mutual information acquired by the demon and the absolute irreversibility of the feedback control. Our finding of the upper bounds corresponds to a reformulation of the second law of thermodynamics under a class of Maxwell demon which generates many-body entanglement in a working substance.

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Sungguen Ryu, Rosa López, Raúl Toral. 2021-02-01. Quantum Consensus Dynamics by Entangling Maxwell Demon. https://doi.org/10.1088/1367-2630/ac57ea

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