Communication, Dynamical Resource Theory, and Thermodynamics

Abstract

Recently, new insights have been obtained by jointly studying communication and resource theory. This interplay consequently serves as a potential platform for interdisciplinary studies. To continue this line, we analyze the role of dynamical resources in a communication setup, and further apply our analysis to thermodynamics. To start with, we study classical communication scenarios constrained by a given resource, in the sense that the information processing channel is unable to supply additional amounts of the resource. We show that the one-shot classical capacity is upper bounded by resource preservability, which is a measure of the ability to preserve the resource. A lower bound can be further obtained when the resource is asymmetry. As an application, unexpectedly, under a recently-studied thermalization model, we found that the smallest bath size needed to thermalize all outputs of a Gibbs-preserving coherence-annihilating channel upper bounds its one-shot classical capacity. When the channel is coherence non-generating, the upper bound is given by a sum of coherence preservability and the bath size of the channel's incoherent version. In this sense, bath sizes can be interpreted as the thermodynamic cost of transmitting classical information. This finding provides a dynamical analogue of Landauer's principle, and therefore bridges classical communication and thermodynamics. As another implication, we show that, in bipartite settings, classically correlated local baths can admit classical communication even when both local systems are completely thermalized. Hence, thermalizations can transmit information by accessing only classical correlation as a resource. Our results demonstrate interdisciplinary applications enabled by dynamical resource theory.

6+17 pages; 1+1 figures. New results are added compared with the previous version

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Cited by in corpus (18)

• One-Shot Manipulation of Dynamical Quantum Resources
• Quantum Channel Marginal Problem
• Dynamical Landauer Principle: Quantifying Information Transmission by Thermodynamics
• The Dynamical Resource Theory of Informational Non-Equilibrium
• Maxwell's two-demon engine under pure dephasing noise
• Resource Marginal Problems
• Thermodynamic Approach to Quantifying Incompatible Instruments
• Universal construction of decoders from encoding black boxes
• 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
• Quantum Coding with Finite Thermodynamic Resources
• Informational non-equilibrium concentration
• Process tensor distinguishability measures
• Two instances of random access code in the quantum regime
• Quantum Dynamical Resource Theory under Resource Non-increasing Framework
• Complete characterisation of state conversions by work extraction
• General quantum resources providing advantages in work-extraction tasks