Second law of thermodynamics with quantum memory

Abstract

We design a heat engine with multi-heat-reservoir, ancillary system and quantum memory. We then derive an inequality related with the second law of thermodynamics, and give a new limitation about the work gain from the engine by analyzing the entropy change and quantum mutual information change during the process. In addition and remarkably, by combination of two independent engines and with the help of the entropic uncertainty relation with quantum memory, we find that the total maximum work gained from those two heat engines should be larger than a quantity related with quantum entanglement between the ancillary state and the quantum memory. This result provides a lower bound for the maximum work extracted, in contrast with the upper bound in the conventional second law of thermodynamics. However, the validity of this inequality depends on whether the maximum work can achieve the upper bound.

6 pages

References in corpus (7)

• The Physics of Maxwell's demon and information
• Quantum information can be negative
• Second Law of Thermodynamics with Discrete Quantum Feedback Control
• The uncertainty principle determines the non-locality of quantum mechanics
• Entanglement Theory and the Second Law of Thermodynamics
• Entropic uncertainty relations for multiple measurements
• Competitions between quantum correlations in the quantum-memory-assisted entropic uncertainty relation

Cited by in corpus (3)

• Quantum Coherence in a Quantum Heat Engine
• Quantum Thermodynamics and Quantum Coherence Engines
• Entropic bounds between two thermal equilibrium states