Exploring the gap between thermal operations and enhanced thermal operations

Abstract

The gap between thermal operations (TO) and enhanced thermal operations (EnTO) is an open problem raised in [Phys. Rev. Lett. 115, 210403 (2015)]. It originates from the limitations on coherence evolutions. Here we solve this problem by analytically proving that, a state transition induced by EnTO cannot be approximately realized by TO. It confirms that TO and EnTO lead to different laws of state conversions. Our results can also contribute to the study of the restrictions on coherence dynamics in quantum thermodynamics.

arXiv commentAlmost rewitten. In this version, we disprove the closure conjecture

References in corpus (21)

• Fundamental limitations for quantum and nano thermodynamics
• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• The second laws of quantum thermodynamics
• The Resource Theory of Quantum States Out of Thermal Equilibrium
• Catalytic Coherence
• Quantum coherence, time-translation symmetry and thermodynamics
• Quantum majorization and a complete set of entropic conditions for quantum thermodynamics
• The thermodynamic meaning of negative entropy
• Work extraction and thermodynamics for individual quantum systems
• The extraction of work from quantum coherence
• Low-temperature thermodynamics with quantum coherence
• Towards fully quantum second laws of thermodynamics: limitations on the evolution of quantum coherences
• Truly work-like work extraction
• An introductory review of the resource theory approach to thermodynamics
• Fully quantum fluctuation theorems
• Quantum fluctuation theorems, contextuality and work quasi-probabilities
• Correlating thermal machines and the second law at the nanoscale
• A measure of majorisation emerging from single-shot statistical mechanics
• Markovian evolution of quantum coherence under symmetric dynamics
• Quantum Fluctuation Theorems
• Thermal Operations Involving a Single-mode Bosonic Bath

Cited by in corpus (10)

• The $d$-Majorization Polytope
• Which Bath-Hamiltonians Matter for Thermal Operations?
• Exploring the Limits of Controlled Markovian Quantum Dynamics with Thermal Resources
• A hierarchy of thermal processes collapses under catalysis
• Quantum resource-theoretical analysis of the role of vibrational structure in photoisomerization
• Quantum thermodynamics with coherence: Covariant Gibbs-preserving operation is characterized by the free energy
• Thermodynamic state convertibility is determined by qubit cooling and heating
• Thermodynamic criteria for signaling in quantum channels
• Tabletop reversibility of phase-covariant operations
• Thermal operations from informational equilibrium