Avoiding irreversibility: engineering resonant conversions of quantum resources

Abstract

We identify and explore the intriguing property of resource resonance arising within resource theories of entanglement, coherence and thermodynamics. While the theories considered are reversible asymptotically, the same is generally not true in realistic scenarios where the available resources are bounded. The finite-size effects responsible for this irreversibility could potentially prohibit small quantum information processors or thermal machines from achieving their full potential. Nevertheless, we show here that by carefully engineering the resource interconversion process any such losses can be greatly suppressed. Our results are predicted by higher order expansions of the trade-off between the rate of resource interconversion and the achieved fidelity, and are verified by exact numerical optimizations of appropriate approximate majorization conditions.

arXiv comment6 pages, 2 figures. Comments welcome

References in corpus (25)

• Quantum entanglement
• Quantum Computing in the NISQ era and beyond
• Concentrating Partial Entanglement by Local Operations
• Quantifying Coherence
• Conditions for a class of entanglement transformations
• The role of quantum information in thermodynamics --- a topical review
• Fundamental limitations for quantum and nano thermodynamics
• The Resource Theory of Quantum States Out of Thermal Equilibrium
• Quantum coherence, time-translation symmetry and thermodynamics
• Work extraction and thermodynamics for individual quantum systems
• The general structure of quantum resource theories
• Towards fully quantum second laws of thermodynamics: limitations on the evolution of quantum coherences
• A mathematical theory of resources
• A Hierarchy of Information Quantities for Finite Block Length Analysis of Quantum Tasks
• Truly work-like work extraction
• Conditions for coherence transformations under incoherent operations
• The theory of manipulations of pure state asymmetry: basic tools and equivalence classes of states under symmetric operations
• Second-order asymptotics for quantum hypothesis testing
• Approximate transformations and robust manipulation of bipartite pure state entanglement
• Second-Order Asymptotics for the Classical Capacity of Image-Additive Quantum Channels
• Beyond the thermodynamic limit: finite-size corrections to state interconversion rates
• Moderate deviation analysis for classical communication over quantum channels
• Surpassing the Carnot Efficiency by extracting imperfect work
• Moderate deviation analysis of majorisation-based resource interconversion
• Asymptotic Compatibility between LOCC Conversion and Recovery

Cited by in corpus (25)

• An introductory review of the resource theory approach to thermodynamics
• Quantum work statistics close to equilibrium
• Resource theory of asymmetric distinguishability
• An information-theoretic treatment of quantum dichotomies
• All states are universal catalysts in quantum thermodynamics
• General Quantum Resource Theories: Distillation, Formation and Consistent Resource Measures
• Relative Entropy and Catalytic Relative Majorization
• Coherence manipulation with dephasing-covariant operations
• The variance of relative surprisal as single-shot quantifier
• Fluctuation-dissipation relations for thermodynamic distillation processes
• Recovering Gardner Restacking with Purely Diffusive Operations
• Moderate deviation analysis of majorisation-based resource interconversion
• Catalysis in Action via Elementary Thermal Operations
• Asymptotically Consistent Measures of General Quantum Resources: Discord, Non-Markovianity, and Non-Gaussianity
• Minimum Stabilizing Energy Release for Mixing Processes
• A hierarchy of thermal processes collapses under catalysis
• Resource engines
• Upper and Lower Bounds on Phase-Space Rearrangements
• Majorization and dynamics of continuous distributions
• Generation of minimum energy entangled states
• Quantum dichotomies and coherent thermodynamics beyond first-order asymptotics
• Work fluctuations due to partial thermalizations in two-level systems
• Thermodynamic state convertibility is determined by qubit cooling and heating
• The coherent measurement cost of coherence distillation
• Finite-size catalysis in quantum resource theories