Quantum Consensus Dynamics by Entangling Maxwell Demon
arXiv:2102.00777 · doi:10.1088/1367-2630/ac57ea
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.
An upper bound and example of work extraction are added. The presentation is improved
References in corpus (14)
- Statistical physics of social dynamics
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- 14-qubit entanglement: creation and coherence
- Second Law of Thermodynamics with Discrete Quantum Feedback Control
- Experimental study of mutual information in a Maxwell Demon
- Quantum Szilard Engine
- Local vs global master equation with common and separate baths: superiority of the global approach in partial secular approximation
- Large work extraction and the Landauer limit in a continuous Maxwell demon
- Thermodynamics of Quantum Information Flows
- Optical pumping into many-body entanglement
- Thermodynamics of Gambling Demons
- Unitary and non-unitary quantum cellular automata with Rydberg arrays
- Quantum nonequilibrium equalities with absolute irreversibility
- Entropy Production in Continuously Measured Gaussian Quantum Systems