Channels, measurements and post-selection in quantum thermodynamics

Abstract

We analyse the benefit, in terms of extracting work, of having a single use of a quantum channel or measurement in quantum thermodynamics. This highlights a connection between unital and catalytic channels, and some subtleties concerning the conditional work cost of implementing a measurement given that a certain result was obtained. We also consider post-selected measurements, and show that any non-trivial post-selection leads to an unbounded work benefit.

arXiv comment18 Pages

References in corpus (51)

• A nonequilibrium equality for free energy differences
• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• The role of quantum information in thermodynamics --- a topical review
• Fundamental limitations for quantum and nano thermodynamics
• The second laws of quantum thermodynamics
• Maximal work extraction from quantum systems
• Quantum mechanical evolution towards thermal equilibrium
• Quantum heat engines and refrigerators: Continuous devices
• Foundation of Statistical Mechanics under experimentally realistic conditions
• Catalytic Coherence
• Jerusalem Lectures on Black Holes and Quantum Information
• How small can thermal machines be? The smallest possible refrigerator
• The thermodynamic meaning of negative entropy
• Work extraction and thermodynamics for individual quantum systems
• Second law and Landauer principle far from equilibrium
• Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
• (Quantumness in the context of) Resource Theories
• The black hole final state
• Extractable Work from Correlations
• A quantum-mechanical Maxwell's demon
• Black Hole Thermodynamics
• The role of quantum measurement in stochastic thermodynamics
• Extracting work from quantum measurement in Maxwell demon engines
• Virtual qubits, virtual temperatures, and the foundations of thermodynamics
• Causal and localizable quantum operations
• A derivation (and quantification) of the third law of thermodynamics
• Coherence and measurement in quantum thermodynamics
• Quantum Measurement Cooling
• The work value of information
• The Minimal Work Cost of Information Processing
• Counterexample to an additivity conjecture for output purity of quantum channels
• Work extremum principle: Structure and function of quantum heat engines
• Thermodynamics of quantum systems with multiple conserved quantities
• Efficient Quantum Measurement Engine
• Ideal Projective Measurements Have Infinite Resource Costs
• Thermodynamics of discrete quantum processes
• A measure of majorisation emerging from single-shot statistical mechanics
• Information erasure without an energy cost
• Clock-Driven Quantum Thermal Engines
• Nonequilibrium Dynamics with Finite-Time Repeated Interactions
• Thermodynamic Capacity of Quantum Processes
• Maxwell's lesser demon: a quantum engine driven by pointer measurements
• Single molecule thermodynamics of ATP synthesis by F${}_1$-ATPase
• From single-shot to general work extraction with bounded fluctuations in work
• Emergence of thermodynamic behavior within composite quantum systems
• Quantum Channels and Representation Theory
• Fluctuation theorems and inequalities generalizing the second law of thermodynamics off equilibrium
• By-passing fluctuation theorems
• Non-thermal quantum channels as a thermodynamical resource
• Work extraction from microcanonical bath
• Second law of thermodynamics for batteries with vacuum state

Cited by in corpus (6)

• Quantum thermal machines and batteries
• Quantum measurements constrained by the third law of thermodynamics
• Second law of thermodynamics for batteries with vacuum state
• Universal validity of the second law of information thermodynamics
• Classicality of the heat produced by quantum measurements
• No-go result for quantum postselection measurements of rank-m degenerate subspace