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.

arXiv comment6+17 pages; 1+1 figures. New results are added compared with the previous version

References in corpus (86)

• Quantum entanglement
• A computable measure of entanglement
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Quantifying Coherence
• Bell nonlocality
• Quantifying Entanglement
• Quantum Coherence as a Resource
• Steering, Entanglement, Nonlocality, and the EPR Paradox
• General Benchmarks for Quantum Repeaters
• Fundamental Limits of Repeaterless Quantum Communications
• Quantum Resource Theories
• Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
• Reference frames, superselection rules, and quantum information
• Fundamental limitations for quantum and nano thermodynamics
• The second laws of quantum thermodynamics
• The Resource Theory of Quantum States Out of Thermal Equilibrium
• Assessing non-Markovian dynamics
• General Entanglement Breaking Channels
• Quantum Steering
• Entanglement, EPR-correlations, Bell-nonlocality, and Steering
• Min- and Max- Relative Entropies and a New Entanglement Monotone
• Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
• Quantum steering: a review with focus on semidefinite programming
• The resource theory of quantum reference frames: manipulations and monotones
• The thermodynamic meaning of negative entropy
• Quantum Circuits Architecture
• Quantifying Einstein-Podolsky-Rosen steering
• The general structure of quantum resource theories
• How to quantify coherence: Distinguishing speakable and unspeakable notions
• Transforming quantum operations: quantum supermaps
• One-Shot Classical-Quantum Capacity and Hypothesis Testing
• A mathematical theory of resources
• A Hierarchy of Information Quantities for Finite Block Length Analysis of Quantum Tasks
• (Quantumness in the context of) Resource Theories
• The theory of manipulations of pure state asymmetry: basic tools and equivalence classes of states under symmetric operations
• An introductory review of the resource theory approach to thermodynamics
• General Resource Theories in Quantum Mechanics and Beyond: Operational Characterization via Discrimination Tasks
• Quantum fidelity measures for mixed states
• The resource theory of steering
• Super-activation of quantum non-locality
• Resource Destroying Maps
• Operational Advantage of Quantum Resources in Subchannel Discrimination
• Optimal Teleportation Based on Bell Measurement
• Comparison of Quantum Channels by Superchannels
• Operational Resource Theory of Quantum Channels
• Quantifying Operations with an Application to Coherence
• Quantifying magic for multi-qubit operations
• Gaussian quantum resource theories
• One-Shot Operational Quantum Resource Theory
• No-Go Theorems for Quantum Resource Purification
• Convex geometry of quantum resource quantification
• A resource theory of quantum memories and their faithful verification with minimal assumptions
• Non-Markovianity degree for random unitary evolution
• Resource Theory of Coherence - Beyond States
• How to quantify a dynamical quantum resource
• Using and reusing coherence to realize quantum processes
• Resource theory of non-Gaussian operations
• All entangled states can demonstrate non-classical teleportation
• All quantum states useful for teleportation are nonlocal resources
• Quantifying Bell: the Resource Theory of Nonclassicality of Common-Cause Boxes
• Quantum resource theories in the single-shot regime
• Benchmarking one-shot distillation in general quantum resource theories
• Application of the Resource Theory of Channels to Communication Scenarios
• Resource theory of asymmetric distinguishability for quantum channels
• Resource theories of communication
• Quantifying resource in catalytic resource theory
• Dynamical Resource Theory of Quantum Coherence
• Skew informations from an operational view via resource theory of asymmetry
• A smooth entropy approach to quantum hypothesis testing and the classical capacity of quantum channels
• Quantifying the resource content of quantum channels: An operational approach
• Entanglement cost and quantum channel simulation
• Entanglement-annihilating and entanglement-breaking channels
• Quantum Achievability Proof via Collision Relative Entropy
• Quantum steerability: characterization, quantification, superactivation and unbounded amplification
• Super-Activation of Quantum Steering
• A Note on Fully Entangled Fraction
• Gaussian Thermal Operations and the Limits of Algorithmic Cooling
• Resource Preservability
• Quantum Process Capability
• Quantifying Quantum-Mechanical Processes
• Thermodynamic resources in continuous-variable quantum systems
• Entanglement preserving local thermalization
• Measuring non-Markovianity via incoherent mixing with Markovian dynamics
• Work extraction and fully entangled fraction
• Channel Activation of CHSH Nonlocality
• Bounding the resources for thermalizing many-body localized systems

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