The Dynamical Resource Theory of Informational Non-Equilibrium

Abstract

Information is instrumental in our understanding of thermodynamics. Their interplay has been studied through completely degenerate Hamiltonians whereby the informational contributions to thermodynamic transformations can be isolated. In this setting, all states other then the maximally mixed state are considered to be in informational non-equilibrium. An important yet still open question is: how to characterise the ability of quantum dynamics to maintain informational non-equilibrium? Here, the dynamical resource theory of informational non-equilibrium preservability is introduced to begin providing an answer to this question. A characterisation of the allowed operations is given for qubit channels and the n dimensional Weyl-covariant channels - a physically relevant subset of the general channels. An operational interpretation of a state discrimination game with Bell state measurements is given. Finally, an explicit link between a channels classical capacity and its ability to maintain informational non-equilibrium is made.

5 + 24 pages, 1 + 3 figures

References in corpus (5)

• Transforming quantum operations: quantum supermaps
• Quantum state discrimination and its applications
• A Survey on Quantum Channel Capacities
• Gibbs-Preserving Maps outperform Thermal Operations in the quantum regime
• Dynamical Entanglement

Cited by in corpus (9)

• Dynamical Landauer Principle: Quantifying Information Transmission by Thermodynamics
• Resource Marginal Problems
• Operational Interpretation of the Choi Rank Through k-State Exclusion
• Dynamical Landauer principle: Thermodynamic criteria of transmitting classical information
• One-shot manipulation of coherence in dynamic quantum resource theory
• Informational non-equilibrium concentration
• Process tensor distinguishability measures
• Complete characterisation of state conversions by work extraction
• General quantum resources providing advantages in work-extraction tasks