A Compendious Review of Majorization-Based Resource Theories: Quantum Information and Quantum Thermodynamics
arXiv:2306.11513 · doi:10.55730/1300-0101.2744
Abstract
The field of quantum resource theory (QRT) has emerged as an invaluable framework for the examination of small and strongly correlated quantum systems, surpassing the boundaries imposed by traditional statistical treatments. The fundamental objective of general QRTs is to characterize these systems by precisely quantifying the level of control attainable to an experimenter. In this review article, we refrain from providing an exhaustive summary of the extensive literature on QRT. Rather, our focus centers on a specific sub-literature founded upon the theory of majorization. The primary aim is to augment our comprehension of genuine quantum phenomena manifested across diverse technological applications and incite investigations into novel resource theories encompassing multiple types of resources. Consequently, we emphasize the underlying similarities shared by various resources, including bipartite quantum entanglement, quantum coherence, and superposition, alongside informational, thermal, and generalized nonequilibrium resources.
arXiv comment40 pages, 3 figures, 1 table, and over 200 references. A compendious review article!
References in corpus (184)
- Quantum entanglement
- Quantum Cryptography
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Mixed State Entanglement and Quantum Error Correction
- Quantum sensing
- Introducing Quantum Discord
- Three qubits can be entangled in two inequivalent ways
- Quantum Simulation
- Quantifying Coherence
- Distributed Entanglement
- Quantum metrology
- Classical, quantum and total correlations
- Quantifying Entanglement
- Noisy intermediate-scale quantum (NISQ) algorithms
- Quantum Coherence as a Resource
- Quantum computational chemistry
- Quantum Resource Theories
- Conditions for a class of entanglement transformations
- Operational Resource Theory of Coherence
- Quantum Thermodynamics
- Measuring Quantum Coherence with Entanglement
- The role of quantum information in thermodynamics --- a topical review
- Quantum metrology from a quantum information science perspective
- Unified View of Quantum and Classical Correlations
- Fundamental limitations for quantum and nano thermodynamics
- Geometric measure of entanglement and applications to bipartite and multipartite quantum states
- Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
- The second laws of quantum thermodynamics
- The Resource Theory of Quantum States Out of Thermal Equilibrium
- Robustness of coherence: An operational and observable measure of quantum coherence
- Quantum Simulators: Architectures and Opportunities
- Observable measure of quantum coherence in finite dimensional systems
- The Resource Theory of Stabilizer Computation
- Quantum coherence, time-translation symmetry and thermodynamics
- Quantum majorization and a complete set of entropic conditions for quantum thermodynamics
- The resource theory of quantum reference frames: manipulations and monotones
- Substituting Quantum Entanglement for Communication
- Converting Coherence to Quantum Correlations
- Intrinsic randomness as a measure of quantum coherence
- Application of a resource theory for magic states to fault-tolerant quantum computing
- Security in Quantum Cryptography
- The resource theory of informational nonequilibrium in thermodynamics
- Quantum coherence in multipartite systems
- Frozen Quantum Coherence
- Dynamics of quantum entanglement
- 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
- Quantum coherence and geometric quantum discord
- Coherence as a resource in decision problems: The Deutsch-Jozsa algorithm and a variation
- Robustness of asymmetry and coherence of quantum states
- The Fidelity and Trace Norm Distances for Quantifying Coherence
- (Quantumness in the context of) Resource Theories
- The Entanglement of Formation for Isotropic States
- Truly work-like work extraction
- Reversible transformations from pure to mixed states, and the unique measure of information
- Quantum Coherence via Skew Information and Its Polygamy
- Max- relative entropy of coherence: an operational coherence measure
- Conditions for coherence transformations under incoherent operations
- An introductory review of the resource theory approach to thermodynamics
- General Resource Theories in Quantum Mechanics and Beyond: Operational Characterization via Discrimination Tasks
- Alternative framework for quantifying coherence
- A Unified View of Quantum Correlations and Quantum Coherence
- Information as a resource in distributed quantum systems
- Quantifying Superposition
- Microcanonical and resource-theoretic derivations of the thermal state of a quantum system with noncommuting charges
- Operational one-to-one mapping between coherence and entanglement measures
- Thermodynamics of quantum systems with multiple conserved quantities
- A resource theory of superposition
- Resource Destroying Maps
- Monogamy of quantum correlations - a review
- Quantifying quantum resources with conic programming
- Operational Advantage of Quantum Resources in Subchannel Discrimination
- Entanglement and the Thermodynamic Arrow of Time
- Thermodynamic resource theories, non-commutativity and maximum entropy principles
- Gibbs-Preserving Maps outperform Thermal Operations in the quantum regime
- Thermodynamic cost of creating correlations
- Quantifying Contextuality
- Quantum entanglement theory in the presence of superselection rules
- Quantum nonlocality in the presence of superselection rules and data hiding protocols
- Nonlocal resources in the presence of Superselection Rules
- Gaussian quantum resource theories
- Structure of the resource theory of quantum coherence
- One-Shot Operational Quantum Resource Theory
- Convex geometry of quantum resource quantification
- Thermodynamics of Quantum Information Flows
- Towards resource theory of coherence in distributed scenarios
- Correlating thermal machines and the second law at the nanoscale
- Flexible resources for quantum metrology
- Multiatom Quantum Coherences in Micromasers as Fuel for Thermal and Nonthermal Machines
- Beyond heat baths: Generalized resource theories for small-scale thermodynamics
- Resource theory of non-Gaussian operations
- Operational relevance of resource theories of quantum measurements
- A Complete Resource Theory of Quantum Incompatibility as Quantum Programmability
- Quantifying Bell: the Resource Theory of Nonclassicality of Common-Cause Boxes
- Quantum resource theories in the single-shot regime
- Incompatibility robustness of quantum measurements: a unified framework
- Verschraenkung versus Stosszahlansatz: Disappearance of the Thermodynamic Arrow in a High-Correlation Environment
- A measure of majorisation emerging from single-shot statistical mechanics
- A Resource Theory for Work and Heat
- Entropy Production in Open Systems: The Predominant Role of Intra-Environment Correlations
- Application of the Resource Theory of Channels to Communication Scenarios
- Experimental progress on quantum coherence: detection, quantification, and manipulation
- Resource theory of asymmetric distinguishability for quantum channels
- Deterministic Coherence Distillation
- Quantum coherence, many-body correlations, and non-thermal effects for autonomous thermal machines
- Quantifying resource in catalytic resource theory
- Comparison of quantum statistical models: equivalent conditions for sufficiency
- Set coherence: basis-independent quantification of quantum coherence
- Quantum Relative Lorenz Curves
- Quantum metrology with a transmon qutrit
- Operational interpretation of weight-based resource quantifiers in convex quantum resource theories of states
- Role of quantum coherence in the thermodynamics of energy transfer
- Resource theory of quantum scrambling
- Collectively enhanced thermalization via multiqubit collisions
- Relative submajorization and its use in quantum resource theories
- Resource theory of asymmetric distinguishability
- Non-Abelian eigenstate thermalization hypothesis
- Quantifying the resource content of quantum channels: An operational approach
- No second law of entanglement manipulation after all
- Noncommuting conserved quantities in quantum many-body thermalization
- Estimating coherence measures from limited experimental data available
- Beyond heat baths II: Framework for generalized thermodynamic resource theories
- Probabilistic transformations of quantum resources
- Generic bound coherence under strictly incoherent operations
- Non-Abelian symmetry can increase entanglement entropy
- Autonomous multipartite entanglement engines
- Experimental observation of thermalization with noncommuting charges
- Quantifying coherence with respect to general quantum measurements
- Non-Abelian Quantum Transport and Thermosqueezing Effects
- Autonomous thermal machine for amplification and control of energetic coherence
- Dynamics of Quantum Coherence and Quantum Fisher Information After Sudden Quench
- Apparent temperature: demystifying the relation between quantum coherence, correlations, and heat flows
- Discordlike correlation of bipartite coherence
- Thermal production, protection and heat exchange of quantum coherences
- An information-theoretic treatment of quantum dichotomies
- Relative Thermalization
- Tight constraints on probabilistic convertibility of quantum states
- Microcanonical thermodynamics in general physical theories
- Capacity of non-Markovianity to boost the efficiency of molecular switches
- Negative contributions to entropy production induced by quantum coherences
- Catalyst-Assisted Probabilistic Coherence Distillation for Mixed States
- Optimal distillation of quantum coherence with reduced waste of resources
- Heat flow reversals without reversing the arrow of time: the role of internal quantum coherences and correlations
- General Quantum Resource Theories: Distillation, Formation and Consistent Resource Measures
- Unifying different notions of quantum incompatibility into a strict hierarchy of resource theories of communication
- Detecting coherence via spectrum estimation
- Continuous thermomajorization and a complete set of laws for Markovian thermal processes
- Resource theory of quantum uncomplexity
- An introduction to entanglement measures
- Asymptotic state transformations of continuous variable resources
- Optimizing thermalizations
- Coherence of operations and interferometry
- One-shot Coherence Distillation with Catalysts
- Resource theory of superposition: State transformations
- Quantifying EPR: the resource theory of nonclassicality of common-cause assemblages
- Efficient estimation of multipartite quantum coherence
- Structure of the thermodynamic arrow of time in classical and quantum theories
- Universal Method to Estimate Quantum Coherence
- Quantum Rayleigh problem and thermocoherent Onsager relations
- Deterministic transformations of coherent states under incoherent operations
- Fully quantum second-law--like statements from the theory of statistical comparisons
- Another convex combination of product states for the separable Werner state
- Optimal probabilistic distillation of quantum coherence
- Resource theory of quantum thermodynamics: Thermal operations and Second Laws
- General state transitions with exact resource morphisms: a unified resource-theoretic approach
- Spins-based Quantum Otto Engines and Majorisation
- The resource theory under conditioned thermal operations
- Dynamics of quantum coherence in Bell-diagonal states under Markovian channels
- Generic aspects of the resource theory of quantum coherence
- Resource theory of heat and work with non-commuting charges
- The block-coherence measures and the coherence measures based on positive-operator-valued measures
- Distance-based resource quantification for sets of quantum measurements
- Necessity for quantum coherence of nondegeneracy in energy flow
- Approximate distillation of quantum coherence
- Heat flow reversal in a trapped-ion simulator
- Hierarchy of quantum operations in manipulating coherence and entanglement
- No-go theorems for deterministic purification and probabilistic enhancement of coherence
- Coherence, superposition, and Löwdin symmetric orthogonalization
- Thermal recall: Memory-assisted Markovian thermal processes
- Biorthogonal resource theory of genuine quantum superposition
- Electron delocalization in aromaticity as a superposition phenomenon
- The tightness of multipartite coherence from spectrum estimation
- Golden states in resource theory of superposition