Quantum Consensus Dynamics by Entangling Maxwell Demon
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.
Keywords
Cite
@article{arxiv.2102.00777,
title = {Quantum Consensus Dynamics by Entangling Maxwell Demon},
author = {Sungguen Ryu and Rosa López and Raúl Toral},
journal= {arXiv preprint arXiv:2102.00777},
year = {2022}
}
Comments
An upper bound and example of work extraction are added. The presentation is improved