Operational Resource Theory of Coherence

Abstract

We establish an operational theory of coherence (or of superposition) in quantum systems, by focusing on the optimal rate of performance of certain tasks. Namely, we introduce the two basic concepts - "coherence distillation" and "coherence cost" in the processing quantum states under so-called incoherent operations [Baumgratz/Cramer/Plenio, Phys. Rev. Lett. 113:140401 (2014)]. We then show that in the asymptotic limit of many copies of a state, both are given by simple single-letter formulas: the distillable coherence is given by the relative entropy of coherence (in other words, we give the relative entropy of coherence its operational interpretation), and the coherence cost by the coherence of formation, which is an optimization over convex decompositions of the state. An immediate corollary is that there exists no bound coherent state in the sense that one would need to consume coherence to create the state but no coherence could be distilled from it. Further we demonstrate that the coherence theory is generically an irreversible theory by a simple criterion that completely characterizes all reversible states.

12 pages; v3 has more details in the technical proofs and generally an improved presentation, in particular a more accurate representation of the relation between majorization and incoherent transformations of pure states

References in corpus (17)

• Measuring Quantum Coherence with Entanglement
• Distillation of secret key and entanglement from quantum states
• Reference frames, superselection rules, and quantum information
• The resource theory of quantum reference frames: manipulations and monotones
• Intrinsic randomness as a measure of quantum coherence
• Structure of states which satisfy strong subadditivity of quantum entropy with equality
• Frozen Quantum Coherence
• The general structure of quantum resource theories
• Quantum Communication With Zero-Capacity Channels
• A Sharp Fannes-type Inequality for the von Neumann Entropy
• Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints
• Conditions for coherence transformations under incoherent operations
• Quantifying Superposition
• Multiple-copy entanglement transformation and entanglement catalysis
• Potential capacities of quantum channels
• Erasing Quantum Coherence: An Operational Approach
• Trade-off between multiple-copy transformation and entanglement catalysis

Cited by in corpus (540)

• Quantum Coherence as a Resource
• Quantum Resource Theories
• Entropic Uncertainty Relations and their Applications
• Robustness of coherence: An operational and observable measure of quantum coherence
• Converting Coherence to Quantum Correlations
• Measures and applications of quantum correlations
• How to quantify coherence: Distinguishing speakable and unspeakable notions
• Single ion-qubit exceeding one hour coherence time
• Quantum coherence and geometric quantum discord
• Robustness of asymmetry and coherence of quantum states
• Relating the Resource Theories of Entanglement and Quantum Coherence
• Quantum Coherence via Skew Information and Its Polygamy
• Relations between coherence and path information
• Max- relative entropy of coherence: an operational coherence measure
• Alternative framework for quantifying coherence
• Convex resource theory of non-Gaussianity
• Coherence depletion in the Grover quantum search algorithm
• Maximal Coherence and the Resource Theory of Purity
• Coherence effects in the performance of the quantum Otto heat engine
• Numerical approach for unstructured quantum key distribution
• Measuring Coherence with Entanglement Concurrence
• Non-Local Advantage of Quantum Coherence
• Operational one-to-one mapping between coherence and entanglement measures
• Entanglement and coherence in quantum state merging
• A resource theory of superposition
• Resource Destroying Maps
• Genuine quantum coherence
• Operational Advantage of Quantum Resources in Subchannel Discrimination
• Quantum processes which do not use coherence
• Quantifying the Imaginarity of Quantum Mechanics
• Measure-Independent Freezing of Quantum Coherence
• One-shot coherence distillation
• Operational Resource Theory of Quantum Channels
• Quantifying quantum speedups: improved classical simulation from tighter magic monotones
• Quantifying Operations with an Application to Coherence
• Relative quantum coherence, incompatibility, and quantum correlations of states
• Observation of time-invariant coherence in a room temperature quantum simulator
• Structure of the resource theory of quantum coherence
• Gaussian quantum resource theories
• No-Go Theorems for Quantum Resource Purification
• Convex geometry of quantum resource quantification
• Evolution equation for quantum coherence
• Resource theory of coherence based on positive-operator-valued measures
• Towards resource theory of coherence in distributed scenarios
• Energy Cost of Creating Quantum Coherence
• Resource Theory of Coherence - Beyond States
• Quantum-memory-assisted entropic uncertainty relations
• Using and reusing coherence to realize quantum processes
• Hierarchy of the nonlocal advantage of quantum coherence and Bell nonlocality
• Probabilistic distillation of quantum coherence
• Resource theory of non-Gaussian operations
• Operational relevance of resource theories of quantum measurements
• When is a non-Markovian quantum process classical?
• Certification and Quantification of Multilevel Quantum Coherence
• Interferometric visibility and coherence
• Tunable phonon induced steady state coherence in a double quantum dot
• Nonlocal advantage of quantum coherence in high-dimensional states
• Quantum resource theories in the single-shot regime
• One-Shot Coherence Dilution
• Asymmetry and coherence weight of quantum states
• Cohering power of quantum operations
• Benchmarking one-shot distillation in general quantum resource theories
• Experimental progress on quantum coherence: detection, quantification, and manipulation
• Quantifying quantum coherence via nonreal Kirkwood-Dirac quasiprobability
• Superconducting-like heat current: Effective cancellation of current-dissipation trade off by quantum coherence
• Experimental cyclic inter-conversion between Coherence and Quantum Correlations
• Deterministic Coherence Distillation
• Quantifying resource in catalytic resource theory
• All quantum resources provide an advantage in exclusion tasks
• Axiomatic relation between thermodynamic and information-theoretic entropies
• Coherence and non-classicality of quantum Markov processes
• Quantum Simulation of single-qubit thermometry using linear optics
• Set coherence: basis-independent quantification of quantum coherence
• Dynamical Resource Theory of Quantum Coherence
• Catalytic coherence transformations
• Extracting quantum coherence via steering
• A multipartite generalization of quantum discord
• Quantifying quantum coherence and non-classical correlation based on Hellinger distance
• Operational interpretation of weight-based resource quantifiers in convex quantum resource theories of states
• Quantifying Quantum Coherence in Experimentally-Observed Neutrino Oscillations
• Resource theory of quantum scrambling
• Maximum coherence in the optimal basis
• Quantum coherence of planar spin models with Dzyaloshinsky-Moriya interaction
• Relative submajorization and its use in quantum resource theories
• Quantifying Bell non-locality with the trace distance
• Quantum speed limits for information and coherence
• Quantum Coherence in a Quantum Heat Engine
• Detecting macroscopic quantum coherence with a cavity optomechanical system
• Demonstrating quantum coherence and metrology that is resilient to transversal noise
• Family of coherence measures and duality between quantum coherence and path distinguishability
• Non-asymptotic entanglement distillation
• Catalysis of entanglement and other quantum resources
• Quantifying the resource content of quantum channels: An operational approach
• Indistinguishability-enabled coherence for quantum metrology
• Duality games and operational duality relations
• No second law of entanglement manipulation after all
• Experimentally Obtaining Maximal Coherence Via Assisted Distillation Pro cess
• A new coherence measure based on fidelity
• Axiomatic and operational connections between the $l_1$-norm of coherence and negativity
• Estimating coherence measures from limited experimental data available
• Non-Gaussian operations on bosonic modes of light: Photon-added Gaussian channels
• Coherence distillation machines are impossible in quantum thermodynamics
• Frobenius-norm-based measures of quantum coherence and asymmetry
• Quasiprobability representation of quantum coherence
• Fundamental work cost of quantum processes
• Quantification and manipulation of magic states
• Uncertainty Relations for Quantum Coherence
• Beyond the thermodynamic limit: finite-size corrections to state interconversion rates
• Coherence orders, decoherence and quantum metrology
• Generic bound coherence under strictly incoherent operations
• Logarithmic coherence: Operational interpretation of ${\ell }_1$-norm coherence
• One-Shot Coherence Distillation: Towards Completing the Picture
• Quantum coherence and state conversion: theory and experiment
• Endurance of quantum coherence due to particle indistinguishability in noisy quantum networks
• Temperature control in dissipative cavities by entangled dimers
• Correlation in Catalysts Enables Arbitrary Manipulation of Quantum Coherence
• Quantifying coherence with respect to general quantum measurements
• Facets of quantum information under non-Markovian evolution
• Autonomous thermal machine for amplification and control of energetic coherence
• Non-asymptotic assisted distillation of quantum coherence
• Entanglement as the symmetric portion of correlated coherence
• Coherence and entanglement measures based on Rényi relative entropies
• Converting multilevel nonclassicality into genuine multipartite entanglement
• Measurement-dependent corrections to work distributions arising from quantum coherences
• Accessible and inaccessible quantum coherence in relativistic quantum systems
• Basis-independent quantum coherence and its distribution
• Coherence measures with respect to general quantum measurements
• Quantum coherence as a signature of chaos
• Quantum coherence quantifiers based on the Rényi $\alpha$-relative entropy
• Quantum correlations in separable multi-mode states and in classically entangled light
• Coherence number as a discrete quantum resource
• Coherence non-generating channels
• Bound on Ergotropic Gap for Bipartite Separable States
• Imaginarity-free quantum multiparameter estimation
• Apparent temperature: demystifying the relation between quantum coherence, correlations, and heat flows
• Real quantum operations and state transformations
• Measures of imaginarity and quantum state order
• How difficult is it to prepare a quantum state?
• Coherence of quantum channels
• Maximal steered coherence and its conversion to entanglement in multiple bosonic reservoirs
• Quantum Correlations and Global Coherence in Distributed Quantum Computing
• Experimentally accessible lower bounds for genuine multipartite entanglement and coherence measures
• Fundamental energy requirement of reversible quantum operations
• Ordering states with coherence measures
• Quantum Random Number Generation with Uncharacterized Laser and Sunlight
• Discordlike correlation of bipartite coherence
• Fundamental limitations on photoisomerization from thermodynamic resource theories
• Fundamental Limits on Correlated Catalytic State Transformations
• Quantum non-Gaussianity of light and atoms
• Experimental quantification of coherence of a tunable quantum detector
• Partial coherence and quantum correlation with fidelity and affinity distances
• Characterizing Quantum Networks: Insights from Coherence Theory
• Random Matrix Theory of the Isospectral twirling
• The first law of general quantum resource theories
• Coherence breaking channels and coherence sudden death
• Distillation of quantum steering
• Activation of entanglement from quantum coherence and superposition
• Coherence and entanglement dynamics of vibrating qubits
• Dephasing-Covariant Operations Enable Asymptotic Reversibility of Quantum Resources
• One-shot entanglement distillation beyond local operations and classical communication
• Assessing the quantumness of a damped two-level system
• The l1 Norm of Coherence of Assistance
• Catalyst-Assisted Probabilistic Coherence Distillation for Mixed States
• Geometric coherence and quantum state discrimination
• Experimental demonstration of wave-particle duality relation based on coherence measure
• Quantum coherence and the localization transition
• Contextuality of general probabilistic theories
• Enhancing coherence of a state by stochastic strictly incoherent operations
• Detecting and estimating coherence based on coherence witnesses
• Encoding classical information into quantum resources
• Quantum Coherence and Intrinsic Randomness
• Completing the Grand Tour of asymptotic quantum coherence manipulation
• Optimal distillation of quantum coherence with reduced waste of resources
• Coherence generating power of quantum dephasing processes
• Coherence of quantum channels
• General Quantum Resource Theories: Distillation, Formation and Consistent Resource Measures
• Quantum coherence in a compass chain under an alternating magnetic field
• The role of coherence during classical and quantum decoherence
• Validating and controlling quantum enhancement against noise by motion of a qubit
• Quantifying dynamical coherence with dynamical entanglement
• Detecting coherence via spectrum estimation
• Is there a finite complete set of monotones in any quantum resource theory?
• Complementary relations of entanglement, coherence, steering and Bell nonlocality inequality violation in three-qubit states
• Resource theory of quantum uncomplexity
• Quantum coherence as asymmetry from complex weak values
• Relative Entropy and Catalytic Relative Majorization
• Quantum coherence and speed limit in the mean-field Dicke model of superradiance
• Quantum Coherent Absorption of Squeezed Light
• Coherence measure: Logarithmic coherence number
• Flag Additivity in Quantum Resource Theories
• Measuring coherence of quantum measurements
• Coherence, entanglement and quantumness in closed and open systems with conserved charge, with an application to many-body localisation
• Influence of Stark-shift on quantum coherence and non-classical correlations for two two-level atoms interacting with a single-mode cavity field
• Average subentropy, coherence and entanglement of random mixed quantum states
• Assisted work distillation
• Quantitative Coherence Witness for Finite Dimensional States
• Resource theory of causal connection
• Of Local Operations and Physical Wires
• Broadcasting Quantum Coherence via Cloning
• Complexity of quantum circuits via sensitivity, magic, and coherence
• Quantifying quantum coherence based on the generalized $\alpha -z-$relative R$\acute{e}$nyi entropy
• Quantum work statistics with initial coherence
• Quantifying coherence in terms of the pure-state coherence
• Genuine Distributed Coherence
• Relation between Quantum Coherence and Quantum Entanglement in Quantum Measurements
• Nonlocal Advantages of Quantum Imaginarity
• Information-based approach towards a unified resource theory
• Quantifying quantum coherence in polariton condensates
• Maximum Relative Entropy of Coherence for Quantum Channels
• Toward physical realizations of thermodynamic resource theories
• Quantifying quantum invasiveness
• Distributed Private Randomness Distillation
• Coherence of operations and interferometry
• Coherence Depletion in Quantum Algorithms
• Witnessing quantum resource conversion within deterministic quantum computation using one pure superconducting qubit
• One-shot Coherence Distillation with Catalysts
• Quantifying EPR: the resource theory of nonclassicality of common-cause assemblages
• The complementarity relations of quantum coherence in quantum information processing
• Extracting Quantum Dynamical Resources: Consumption of Non-Markovianity for Noise Reduction
• Teleportation of quantum coherence
• Quantum Coherence Witness with Untrusted Measurement Devices
• Inequalities witnessing coherence, nonlocality, and contextuality
• Resource theory of superposition: State transformations
• Compact quantum kernel-based binary classifier
• Secure uniform random number extraction via incoherent strategies
• One-Shot Yield-Cost Relations in General Quantum Resource Theories
• Fragility of quantum correlations and coherence in a multipartite photonic system
• Evaluating Single-mode Nonclassicality
• Some notes on the robustness of k-coherence and k-entanglement
• Experimental quantum phase discrimination enhanced by controllable indistinguishability-based coherence
• Multi-object operational tasks for convex quantum resource theories
• Quantifying the incompatibility of quantum measurements relative to a basis
• Relative entropy for von Neumann subalgebras
• Quantifying quantum reference frames in composed systems: local, global and mutual asymmetries
• Quantum Process Capability
• Coherence transformations in single qubit systems
• One-shot assisted concentration of coherence
• Efficient estimation of multipartite quantum coherence
• Coherence manipulation with dephasing-covariant operations
• Generalized Coherence Concurrence and Path distinguishability
• Complementary relation of quantum coherence and quantum correlations in multiple measurements
• Environment-induced quantum coherence spreading of a qubit
• Heat as a witness of quantum properties
• Macroscopic Thermodynamic Reversibility in Quantum Many-Body Systems
• Coherence makes quantum systems 'magical'
• Quantumness of quantum channels
• Tracking quantum coherence in polariton condensates with time-resolved tomography
• The variance of relative surprisal as single-shot quantifier
• Quantification of Entanglement and Coherence with Purity Detection
• Multiparameter estimation, lower bound on quantum Fisher information and non-Markovianity witnesses of noisy two-qubit systems
• Measuring the quadrature coherence scale on a cloud quantum computer
• Coherence generating power of unitary transformations via probabilistic average
• Accessible coherence in open quantum system dynamics
• Epsilon-smooth measure of coherence
• Coherence and realism in the Aharonov-Bohm effect
• Stereographic Geometry of Coherence and Which-path Information
• Universal Method to Estimate Quantum Coherence
• Quantum coherence fraction
• Resource theory of quantum coherence with probabilistically non-distinguishable pointers and corresponding wave-particle duality
• Remote Creation of Quantum Coherence
• Superadditivity of convex roof coherence measures
• Interpreting quantum coherence through a quantum measurement process
• Quantifying memory capacity as a quantum thermodynamic resource
• Catalytic Transformations in Coherence Theory
• Intrinsic degree of coherence of classical and quantum states
• Creating and destroying coherence with quantum channels
• Partial order on passive states and Hoffman majorization in quantum thermodynamics
• Observations about utilitarian coherence in the avian compass
• Resource Theory of Total Quantum Coherence
• Coherence and quantum correlations measure sensitivity to dephasing channels
• Quantifying imaginarity in terms of pure-state imaginarity
• Transcoherent states: Optical states for maximal generation of atomic coherence
• Thermodynamic work cost of quantum estimation protocols
• Duality relation between coherence and path information in the presence of quantum memory
• Dynamics of coherence: Maximal quantum Fisher information vs. Loschmidt echo
• Fluctuation theorems in feedback-controlled open quantum systems: quantum coherence and absolute irreversibility
• Quantum superpositions of causal orders as an operational resource
• Quantum Chaos and Coherence: Random Parametric Quantum Channels
• Agents, subsystems, and the conservation of information
• Coherence, Asymmetry, and Quantum Macroscopicity
• Field assisted extraction and swelling of quantum coherence for moving Unruh-DeWitt detectors
• Pseudorandom density matrices
• Quantifying coherence in terms of Fisher information
• Coherence and complementarity based on modified generalized skew information
• Two constructive proofs on d-majorization and thermo-majorization
• Quantum coherence via conditional entropy
• Moderate deviation analysis of majorisation-based resource interconversion
• Inequivalent Multipartite Coherence Classes and New Coherence Monotones
• Deterministic transformations of coherent states under incoherent operations
• Quantum Advantage for Shared Randomness Generation
• Quantum relative entropy shows singlet-triplet coherence is a resource in the radical-pair mechanism of biological magnetic sensing
• Numerical and analytical results for geometric measure of coherence and geometric measure of entanglement
• Resource theory of quantum thermodynamics: Thermal operations and Second Laws
• Hilbert-Schmidt quantum coherence in multi-qudit systems
• Average skew information-based coherence and its typicality for random quantum states
• Wave-particle duality relations based on entropic bounds for which-way information
• Skew information-based coherence generating power of quantum channels
• Examining the validity of Schatten-$p$-norm-based functionals as coherence measures
• Optimal probabilistic distillation of quantum coherence
• Wave-particle duality employing quantum coherence in superposition with non-orthogonal pointers
• New physics effects on quantum coherence in neutrino oscillations
• Quantum coherences of indistinguishable particles
• Detraction of decoherence that arises from acceleration process
• Experimental Validation of Enhanced Information Capacity by Quantum Switch in Accordance with Thermodynamic Laws
• Quantum coherence fluctuation relations
• One-shot manipulation of entanglement for quantum channels
• Enhanced violation of Leggett-Garg Inequality in three flavour neutrino oscillations via non-standard interactions
• Generalized coherence vector applied to coherence transformations and quantifiers
• Experimental demonstration of one-shot coherence distillation: High-dimensional state conversions
• Generalized-mean Cramér-Rao Bounds for Multiparameter Quantum Metrology
• Trace distance measure of coherence for a class of qudit states
• The influence of the Earth's curved spacetime on Gaussian quantum coherence
• No-go theorem for entanglement distillation using catalysis
• Clausius inequality versus quantum coherence
• Impossibility of Cloning of Quantum Coherence
• Resource conversion between operational coherence and multipartite entanglement in many-body systems
• Noise-tolerant parity learning with one quantum bit
• Deterministic transformations of multilevel coherent states under incoherence-preserving operations
• All entangled states are quantum coherent with locally distinguishable bases
• Generic aspects of the resource theory of quantum coherence
• The resource theory of nonclassicality of channel assemblages
• Chiral-induced spin selectivity augments quantum coherence in avian compass
• Symmetric distinguishability as a quantum resource
• Quantifying the Unitary Generation of Coherence From Thermal Quantum Systems
• Geometry of skew information-based quantum coherence
• Tsallis relative $\alpha$ entropy of coherence dynamics in Grover's search algorithm
• Enhancing Gaussian quantum metrology with position-momentum correlations
• Unification of quantum resources in distributed scenarios
• Simple Bounds for One-shot Pure-State Distillation in General Resource Theories
• Anomalies of weight-based coherence measure and mixed maximally coherent states
• Decomposable coherence and quantum fluctuation relations
• Partial coherence versus entanglement
• What it takes to shun equilibration
• Characterizing coherence with quantum observables
• Amount of quantum coherence needed for measurement incompatibility
• Increasing the dimension of the maximal pure coherent subspace of a state via incoherent operations
• Attainable and usable coherence in X states over Markovian and non-Markovian channels
• Overcoming entropic limitations on asymptotic state transformations through probabilistic protocols
• Resource theory of heat and work with non-commuting charges
• Universal resources for quantum computing
• Coherence measures based on sandwiched Rényi relative entropy
• The block-coherence measures and the coherence measures based on positive-operator-valued measures
• Quasi-factorization and Multiplicative Comparison of Subalgebra-Relative Entropy
• Tomographic Witnessing and Holographic Quantifying of Coherence
• Estimating quantum coherence by noncommutativity of any observable and its incoherent part
• Geometric-Like imaginarity: quantification and state conversion
• Finite Block Length Analysis on Quantum Coherence Distillation and Incoherent Randomness Extraction
• Common Coherence Witnesses and Common Coherent States
• Fortran code for generating random probability vectors, unitaries, and quantum states
• Quantum features of the transport through ion channels in the soft knock-on model
• Coherence-mixedness trade-offs
• Cohering and decohering power of massive scalar fields under instantaneous interactions
• Unveiling quantum steering by quantum-classical uncertainty complementarity
• Entropy of quantum states
• The Average Quantum Coherence of Pure State Decomposition
• Exclusion principle for nonlocal advantage of quantum coherence
• Conversion of Gaussian states under incoherent Gaussian operations
• Thermal effects on coherence and excitation transfer
• Broadcasting of quantum correlations in qubit-qudit systems
• Determining quantum coherence with minimal resources
• Accessible bounds for general quantum resources
• Quantifying quantum coherence based on the Tsallis relative operator entropy
• Beyond transcoherent states: Field states for effecting optimal coherent rotations on single or multiple qubits
• Compositional resource theories of coherence
• The resource theory of coherence for quantum channels
• Hierarchy of quantum operations in manipulating coherence and entanglement
• Quantifying unsharpness of observables in an outcome-independent way
• Continuity of entropies via integral representations
• Coherence measures induced by norm functions
• Asymptotic Reversibility of Thermal Operations for Interacting Quantum Spin Systems via Generalized Quantum Stein's Lemma
• Coherence of assistance and regularized coherence of assistance
• Approximate distillation of quantum coherence
• Log-Convex set of Lindblad semigroups acting on $N$-level system
• Classical evolution in quantum systems
• Logarithmic-Depth Quantum Circuits for Hamming Weight Projections
• The role of quantum coherence in dimer and trimer excitation energy transfer
• Entropic Diagram Characterization of Quantum Coherence: Degenerate Distillation and the Maximum Eigenvalue Uncertainty Bound
• Group twirling and noise tailoring for multi-qubit controlled phase gates
• Thermally-induced qubit coherence in quantum electromechanics
• Faithful coherent states
• Quantum asymmetry and noisy multi-mode interferometry
• Quantum coherence, correlations and nonclassical states in the two-qubit Rabi model with parametric oscillator
• Violating the Leggett-Garg inequalities with classical light
• Quantum Causal Structure and Quantum Thermodynamics
• Optimization free measures of quantum resources
• Polynomial measure of coherence
• Entanglement distribution and quantum discord
• An introductory review on resource theories of generalized nonclassical light
• The optimal approximation of qubit states with limited quantum states
• The Zero-error Entanglement Cost is Highly Non-Additive
• From Quantum Source Compression to Quantum Thermodynamics
• Criterion for a state to be distillable via stochastic incoherent operations
• Negativity-Mutual Information conversion and coherence in two-coupled harmonic oscillators
• Quantum Coherence, Coherent Information and Information Gain in Quantum Measurement
• Black Box Work Extraction and Composite Hypothesis Testing
• Experimental demonstration of optimal probabilistic enhancement of quantum coherence
• Witnessing quantum coherence with prior knowledge of observables
• Auxiliary-assisted energy distillation from quantum batteries
• A Compendious Review of Majorization-Based Resource Theories: Quantum Information and Quantum Thermodynamics
• Coherence filtration under strictly incoherent operations
• Experimental investigation of quantum uncertainty relations with classical shadows
• Quantum coherence between subspaces: State transformation, Cohering Power, $k$-coherence and other properties
• Volume of the set of LOCC-convertible quantum states
• Resource Theory of Non-absolute Separability
• Action in Hamiltonian Models Constructed by Yang-Baxter Equation: Entanglement and Measures of Correlation
• Continuity of robustness measures in quantum resource theories
• Incoherent Gaussian equivalence of $m-$mode Gaussian states
• No-go theorems for deterministic purification and probabilistic enhancement of coherence
• Quantum thermodynamics aspects with a thermal reservoir based on $\mathcal{P}\mathcal{T}$-symmetric Hamiltonians
• On the role of symmetry and geometry in global quantum sensing
• Memory effects in high-dimensional systems faithfully identified by Hilbert-Schmidt speed-based witness
• Role of quantum state texture in probing resource theories and quantum phase transition
• Quantifying the imaginarity via different distance measures
• Thermal coherence of the Heisenberg model with Dzyaloshinsky-Moriya interactions in an inhomogenous external field
• Partial Distinguishability as a Coherence Resource in Boson Sampling
• Estimating coherence with respect to general quantum measurements
• From Classical to quantum stochastic process
• Manifestation of Superposition and Coherence in $\mathcal{P}\mathcal{T}$-symmetry through the $\eta$-inner Product
• $l_1$ norm of coherence is not equal to its convex roof quantifier
• Coherence of assistance and assisted maximally coherent states
• The role of coherence theory in attractor quantum neural networks
• Unifying Entanglement with Uncertainty via Symmetries of Observable Algebras
• Quantum Speed Limit for Change of Basis
• Frozen condition of quantum coherence
• Faithful extraction of quantum coherence
• All multipartite entanglements are quantum coherences in locally distinguishable bases
• Measurement-induced nonlocality in arbitrary dimensions in terms of the inverse approximate joint diagonalization
• General measure for macroscopic quantum states beyond "dead and alive"
• Insensitivity of the two-photon Jaynes-Cummings model to thermal noise
• Fundamental limits on concentrating and preserving tensorized quantum resources
• The Complementary Information Principle of Quantum Mechanics
• Coherence, superposition, and Löwdin symmetric orthogonalization
• The verification of a requirement of entanglement measures
• The Geometric Structure of Quantum Resources for Bell-diagonal states
• Coherent control of quantum systems as a resource theory
• On the role of coherence for quantum computational advantage
• Quantum coherence in neutrino spin-flavor oscillations
• State transfer with quantum side information
• Thermality of the Unruh effect with intermediate statistics
• Coherence via reiterated beam splitting
• Quantum coherence with incomplete set of pointers and corresponding wave-particle duality
• Coherence as resource in scattering quantum walk search on complete graph
• Certifying Multilevel Coherence in the Motional State of a Trapped Ion
• Characterisation of multi-level quantum coherence without ideal measurements
• Noncommutative coherence and quantum phase estimation algorithm
• Quadrature Coherence Scale of Linear Combinations of Gaussian Functions in Phase Space
• Correlation between resource-generating capacities of quantum gates
• Triangle-like inequalities related to coherence and entanglement negativity
• Gleipnir: Toward Practical Error Analysis for Quantum Programs (Extended Version)
• Optimal decomposition of incoherent qubit channel
• Universal compiling and (No-)Free-Lunch theorems for continuous variable quantum learning
• Quantifying Coherence with Untrusted Devices
• On coherence of quantum operations by using Choi-Jamiołkowski isomorphism
• Quantum correlations for anonymous metrology
• Spread and asymmetry of typical quantum coherence and their inhibition in response to glassy disorder
• Coherence dynamics induced by attenuation and amplification Gaussian channels
• Quantifying entanglement in terms of an operational way
• Analytically Computable Symmetric Quantum Correlations
• Multi-object operational tasks for measurement incompatibility
• Improving quantum channel discrimination with resourceful states
• Resource theory of dephasing estimation in multiqubit systems
• Quantum Coherence and Distinguishability as Complementary Resources: A Resource-Theoretic Perspective from Wave-Particle Duality
• Relating quantum coherence and correlations with entropy-based measures
• Spatial distribution of superfluidity and superfluid distillation of Bose liquids
• The best approximation of an objective state with a given set of quantum states
• Parameterized coherence measure
• Measure of genuine coherence based of quasi-relative entropy
• Dynamics of quantum resources in regular and Majorana fermion systems
• Adaptive Online Learning of Quantum States
• Creation of quantum coherence with general measurement processes
• The best approximation of a given qubit state with the limited pure-state set
• Path superposition activating perfect quantum teleportation ability for separable states
• Measure-independent description of wave-particle duality via coherence
• Exposure of subtle multipartite quantum nonlocality
• Certifying nonlocal properties of noisy quantum operations
• Thermodynamic state convertibility is determined by qubit cooling and heating
• Hallmarking quantum states: unified framework for coherence and correlations
• Coherence as a resource for phase estimation
• Strong superadditivity relations for multiqubit systems
• A note on robustness of coherence for multipartite quantum states
• Detecting Non-Markovianity via Quantified Coherence: Theory and Experiments
• Distillation of maximally correlated bosonic matter from many-body quantum coherence
• The tightness of multipartite coherence from spectrum estimation
• Diagonal entropy in many-body systems: Volume effect and quantum phase transitions
• Golden states in resource theory of superposition
• Stochastic approximate state conversion for entanglement and general quantum resource theories
• Coordinately Assisted Distillation of Quantum Coherence in Multipartite System
• Quantum Dynamical Resource Theory under Resource Non-increasing Framework
• Majorization requires infinitely many second laws
• Optimal quantum resource generation in coupled transmons immersed in Markovian baths
• Joint estimation of noise and nonlinearity in Kerr systems
• Optimal Photon blockade on the maximal atomic coherence
• State convertibility under genuinely incoherent operations
• Environment engineering to protect quantum coherence in tripartite systems under dephasing noise
• Dynamics of cohering and decohering power under Markovian channels
• Coherence-induced deep thermalization transition in random permutation quantum dynamics
• Bounds on positive operator-valued measure based coherence of superposition
• Experimental demonstration of robustness of Gaussian quantum coherence
• The Kraus representation for the dynamics of open quantum systems
• The $n$-th decay rate of coherence for Bell-diagonal states under quantum channels
• Necessary and Sufficient Condition for the Equivalence of Two Pure Multipartite States under Stochastic Local Incoherent Operations and Classical Communications
• Imaginarity as a Resource within Quantum Coherence: Geometric Decomposition and Operational Conversion
• Incoherent Operations Enable State Transformations Impossible under Dephasing-covariant Incoherent Operations
• Static and dynamic coherence fraction in the Bernstein-Vazirani algorithm
• Quantum partial coherence measures constructed from Fisher information
• Scalable protocol to coherence estimation from scarce data: Theory and experiment
• Closed expressions for one-qubit states of convex roof coherence measures
• Coherence Concurrence for X States
• Impact of quadrature measurement on quantum coherence
• Converting entanglement into ensemble basis-free coherence
• Distance-based measures and Epsilon-measures for measurement-based quantum resources
• Dynamics of Quantum Coherence and Non-Classical Correlations in Open Quantum System Coupled to a Squeezed Thermal Bath
• Probabilistic Coherence Transformation Under Strictly Incoherent Operation
• A fixed-point algorithm for matrix projections with applications in quantum information
• Quantum Coherence Bounds the Distributed Discords
• Comparing coherence measures for X states: Can quantum states be ordered based on quantum coherence?
• Mathematical methods for resource-based type theories
• Simplest non-additive measures of quantum resources
• Incoherent Approximation of Leakage in Quantum Error Correction
• The coherent measurement cost of coherence distillation
• Trace-distance-based complementarity relations in a multipath interferometer
• Connecting Commutativity and Classicality for Multi-Time Quantum Processes
• Time evolution of quantum correlations in presence of state dependent bath
• Strictly incoherent operations for one-qubit systems
• Operational Interpretation of Quantum Fisher Information in Quantum Thermodynamics
• Response to glassy disorder in coin on spread of quantum walker
• Coherence revival under the Unruh effect and its metrological advantage
• Quantifying Dynamical Total Coherence in a Resource Non-increasing Framework
• The reduction of the number of incoherent Kraus operations for qutrit systems
• Experimental demonstration of complementarity relations between quantum steering criteria
• Quantifying coherence with quantum addition
• Quantifying coherence of quantum measurements
• Continuity of measurement outcomes
• Average coherence with respect to complementary measurements
• Direct estimation of quantum coherence by collective measurements
• Quantum Coherence in Noisy Cellular Automata
• Unspeakable Coherence Concentration
• Phase-sensitive superposition of quantum states
• Entanglement concentration via measurement:- role of imaginarity
• Coherence measures in the strictly incoherent operation framework and its application in the multi-path interferometer