Quantum Coherence as a Resource

Abstract

The coherent superposition of states, in combination with the quantization of observables, represents one of the most fundamental features that mark the departure of quantum mechanics from the classical realm. Quantum coherence in many-body systems embodies the essence of entanglement and is an essential ingredient for a plethora of physical phenomena in quantum optics, quantum information, solid state physics, and nanoscale thermodynamics. In recent years, research on the presence and functional role of quantum coherence in biological systems has also attracted a considerable interest. Despite the fundamental importance of quantum coherence, the development of a rigorous theory of quantum coherence as a physical resource has only been initiated recently. In this Colloquium we discuss and review the development of this rapidly growing research field that encompasses the characterization, quantification, manipulation, dynamical evolution, and operational application of quantum coherence.

Review article. 34 pages, 1 figure, 2 tables, over 300 references. To be published in Rev. Mod. Phys

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• Information-based approach towards a unified resource theory
• Nonlocal Advantages of Quantum Imaginarity
• A Study on Thermal Quantum Resources and Probabilistic Teleportation in Spin-1/2 Heisenberg XYZ+DM+KSEA Model under Variable Zeeman Splitting
• Coherence of operations and interferometry
• Relation between Quantum Coherence and Quantum Entanglement in Quantum Measurements
• Quantifying quantum coherence in polariton condensates
• Non-Abelian transport distinguishes three usually equivalent notions of entropy production
• Thermodynamics and the quantum speed limit in the non-Markovian regime
• Exponential clustering of bipartite quantum entanglement at arbitrary temperatures
• Maximum Relative Entropy of Coherence for Quantum Channels
• A Landau-Zener Lindblad equation and work extraction from coherences
• Quantifying quantum invasiveness
• Optimal common resource in majorization-based resource theories
• Classical emulation of quantum-coherent thermal machines
• One-body entanglement as a quantum resource in fermionic systems
• Witnessing non-objectivity in the framework of strong quantum Darwinism
• One-shot Coherence Distillation with Catalysts
• Quantumness near a Schwarzschild black hole
• Inequalities witnessing coherence, nonlocality, and contextuality
• Tri-Partite entanglement in Neutrino Oscillations
• Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences
• Relating the Entanglement and Optical Nonclassicality of Multimode States of a Bosonic Quantum Field
• Resource theory of superposition: State transformations
• Two-photon-interaction effects in the bad-cavity limit
• Entanglement accelerates quantum simulation
• Amplifying asymmetry with correlated catalysts
• Coherence Depletion in Quantum Algorithms
• Cooling condition for multilevel quantum absorption refrigerators
• Compact quantum kernel-based binary classifier
• Quadrature coherence scale driven fast decoherence of bosonic quantum field states
• Teleportation of quantum coherence
• A Resource Theory of Quantum Measurements
• Quantum Coherence Witness with Untrusted Measurement Devices
• Witnessing quantum resource conversion within deterministic quantum computation using one pure superconducting qubit
• Secure uniform random number extraction via incoherent strategies
• Condensation and superfluidity of dilute Bose gases with finite-range interaction
• Neural-network approach for identifying nonclassicality from click-counting data
• Monotones in General Resource Theories
• Role of coherence in many-body Quantum Reservoir Computing
• Pseudorandom unitaries are neither real nor sparse nor noise-robust
• One-Shot Yield-Cost Relations in General Quantum Resource Theories
• Evaluating Single-mode Nonclassicality
• Experimental quantum phase discrimination enhanced by controllable indistinguishability-based coherence
• Information geometry approach to quantum stochastic thermodynamics
• Quantifying quantum coherence of multiple-charge states in tunable Josephson junctions
• One-shot assisted concentration of coherence
• Information Geometry of Quantum Resources
• The Heisenberg limit for laser coherence
• Complementary relation of quantum coherence and quantum correlations in multiple measurements
• Generation of coherence in an exactly solvable nonlinear nanomechanical system
• Threshold for a discrete-variable sensor of quantum reservoirs
• Quantum resource covariance
• Quantum scrambling of observable algebras
• Quantum coherence, quantum Fisher information and teleportation in the Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer with magnetic impurity
• Quantifying quantum reference frames in composed systems: local, global and mutual asymmetries
• Coherence manipulation with dephasing-covariant operations
• Noncompletely Positive Quantum Maps Enable Efficient Local Energy Extraction in Batteries
• Multiphoton Tomography with Linear Optics and Photon Counting
• Relative entropy for von Neumann subalgebras
• Coherence as a measure for non-Markovianity and its applications to color centers in diamond
• Quantifying the incompatibility of quantum measurements relative to a basis
• Dynamical Quantum Phase Transitions Following Double Quenches: Persistence of the Initial State vs Dynamical Phases
• Quantum thermodynamics in a multipartite setting: A resource theory of local Gaussian work extraction for multimode bosonic systems
• Lower Bounds on Quantum Annealing Times
• Quantum Otto engine with quantum correlations
• Coherence makes quantum systems 'magical'
• Rates of multi-partite entanglement transformations and applications in quantum networks
• Effects of quantum resources on the statistical complexity of quantum circuits
• Heat as a witness of quantum properties
• Tracking quantum coherence in polariton condensates with time-resolved tomography
• Dynamics of closed quantum systems under stochastic resetting
• Quantumness of quantum channels
• Quantification of Entanglement and Coherence with Purity Detection
• Towards high-temperature coherence-enhanced transport in few-atomic layers heterostructures
• Every quantum helps: Operational advantage of quantum resources beyond convexity
• Time as a Consequence of Internal Coherence
• Nonequilibrium thermodynamics of quantum coherence beyond linear response
• Measuring the quadrature coherence scale on a cloud quantum computer
• Thermal quantum correlations in two gravitational cat states
• Quantum-state texture and gate identification
• Weak-measurement-induced asymmetric dephasing: manifestation of intrinsic measurement chirality
• Quantum features and signatures of quantum-thermal machines
• Testing symmetry on quantum computers
• High-efficiency arbitrary quantum operation on a high-dimensional quantum system
• Quantifying quantum coherence in a metal-silicate framework
• Epsilon-smooth measure of coherence
• Accessible coherence in open quantum system dynamics
• Quantification and observation of genuine three-party coherence: A solution based on classical optics
• Contributions from populations and coherences in non-equilibrium entropy production
• Superadditivity of convex roof coherence measures
• Measurement-Induced Quantum Synchronization and Multiplexing
• Resource theory of quantum coherence with probabilistically non-distinguishable pointers and corresponding wave-particle duality
• Universal Method to Estimate Quantum Coherence
• Quantum coherence fraction
• Two-time weak measurement protocol for ergotropy protection in open quantum batteries
• Virtual quantum resource distillation: General framework and applications
• Observations about utilitarian coherence in the avian compass
• Interpreting quantum coherence through a quantum measurement process
• Quantum coherence generating power, maximally abelian subalgebras, and Grassmannian Geometry
• Long range quantum coherence, quantum & classical correlations in Heisenberg XX chain
• Witnesses of coherence and dimension from multiphoton indistinguishability tests
• Quantum Correlations in Neutrino Oscillation: Coherence and Entanglement
• Quantifying imaginarity in terms of pure-state imaginarity
• A solution of the generalised quantum Stein's lemma
• Experimental Investigation of Geometric Quantum Speed Limits in an Open Quantum System
• Simulation of quantum optics by coherent state decomposition
• Double-bracket quantum algorithms for diagonalization
• Creating and destroying coherence with quantum channels
• Partial order on passive states and Hoffman majorization in quantum thermodynamics
• Transcoherent states: Optical states for maximal generation of atomic coherence
• Sudden death of entanglement induced by a minimal thermal environment
• Quantum Incompatibility of a Physical Context
• Coherence and quantum correlations measure sensitivity to dephasing channels
• Quasistates and quasiprobabilities
• Loschmidt-amplitude wave function spectroscopy and the physics of dynamically driven phase transitions
• Inequivalent Multipartite Coherence Classes and New Coherence Monotones
• Quantum Chaos and Coherence: Random Parametric Quantum Channels
• Quantum relative entropy shows singlet-triplet coherence is a resource in the radical-pair mechanism of biological magnetic sensing
• Variational quantum state discriminator for supervised machine learning
• Fluctuation theorems in feedback-controlled open quantum systems: quantum coherence and absolute irreversibility
• Field assisted extraction and swelling of quantum coherence for moving Unruh-DeWitt detectors
• Pseudorandom density matrices
• Deterministic transformations of coherent states under incoherent operations
• Quantifying coherence in terms of Fisher information
• Coherence, Asymmetry, and Quantum Macroscopicity
• Quantum coherence via conditional entropy
• Contextuality with vanishing coherence and maximal robustness to dephasing
• Heat flow and noncommutative quantum mechanics in phase-space
• Numerical and analytical results for geometric measure of coherence and geometric measure of entanglement
• Certifying the quantum Fisher information from a given set of mean values: a semidefinite programming approach
• Optimal probabilistic distillation of quantum coherence
• Quantum Mean Embedding of Probability Distributions
• Examining the validity of Schatten-$p$-norm-based functionals as coherence measures
• Krylov shadow tomography: Efficient estimation of quantum Fisher information
• $\mathcal{P}\mathcal{T}$ symmetric evolution, coherence and violation of Leggett-Garg inequalities
• Conditional quantum nonlocality in dimeric and trimeric arrays of organic molecules
• Impact of non-Markovian evolution on characterizations of quantum thermodynamics
• Quasi inversion of qubit channels
• Experimental Control of the Degree of Non-Classicality via Quantum Coherence
• Inferring physical properties of symmetric states from the fewest copies
• Assisted harvesting and catalysis of coherence from scalar fields
• Coherence quantifiers from the viewpoint of their decreases in the measurement process
• Remote sensing and faithful quantum teleportation through non-localized qubits
• Dense Coding with Locality Restriction for Decoder: Quantum Encoders vs. Super-Quantum Encoders
• Generation of quantum coherence for continuous variables between causally disconnected regions in dilaton spacetime
• Quantum Information Resources in Spin-1 Heisenberg Dimer 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
• Wave-particle duality employing quantum coherence in superposition with non-orthogonal pointers
• Using states with a large photon number variance to increase quantum Fisher information in single-mode phase estimation
• Coherence and mixedness of neutrino oscillations in a magnetic field
• Using a Lindbladian approach to model decoherence in two coupled nuclear spins via correlated phase-damping and amplitude damping noise channels
• Unified framework for quantumness -- coherence, discord, and entanglement
• One-shot manipulation of entanglement for quantum channels
• Generalized coherence vector applied to coherence transformations and quantifiers
• Robustness- and weight-based resource measures without convexity restriction: Multicopy witness and operational advantage in static and dynamical quantum resource theories
• Coherence-enhanced thermodynamic performance in a periodically-driven inelastic heat engine
• Quantum coherence fluctuation relations
• Efficient methods for one-shot quantum communication
• Generalized-mean Cramér-Rao Bounds for Multiparameter Quantum Metrology
• An introduction to quantum discord and non-classical correlations beyond entanglement
• Engineering fidelity of the generalized Pauli channels via legitimate memory kernels
• Quantum realism: axiomatization and quantification
• Microscopic and phenomenological models of driven systems in structured reservoirs
• Optical quantum memory on macroscopic coherence
• Experimental demonstration of one-shot coherence distillation: High-dimensional state conversions
• Noise-tolerant parity learning with one quantum bit
• Based-nonequilibrium-environment non-Markovianity, quantum Fisher information and quantum coherence
• Quantifying Computational Advantage of Grover's Algorithm with the Trace Speed
• Maximal Steered Coherence in Accelerating Unruh-DeWitt Detectors
• Quantifying the Unitary Generation of Coherence From Thermal Quantum Systems
• Resource conversion between operational coherence and multipartite entanglement in many-body systems
• All entangled states are quantum coherent with locally distinguishable bases
• Clausius inequality versus quantum coherence
• Coherence manipulation in asymmetry and thermodynamics
• Nonclassical correlated deterministic single-photon pairs for a trapped atom in bimodal cavities
• Chiral-induced spin selectivity augments quantum coherence in avian compass
• Deterministic transformations of multilevel coherent states under incoherence-preserving operations
• Dynamics of quantum coherence in Bell-diagonal states under Markovian channels
• Impossibility of Cloning of Quantum Coherence
• Variational Quantum Algorithms for Trace Distance and Fidelity Estimation
• Quantifying dynamical coherence with coherence measures
• No-go theorem for entanglement distillation using catalysis
• Stream privacy amplification for quantum cryptography
• To Measure, or Not to Measure, That is the Question
• Correlated quantum machines beyond the standard second law
• Quantumness of gravitational cat states in correlated dephasing channels
• Extraction of autonomous quantum coherences
• Unification of quantum resources in distributed scenarios
• Using a resource theoretic perspective to witness and engineer quantum generalized contextuality for prepare-and-measure scenarios
• Quantum metrology and coherence
• Partial coherence versus entanglement
• Factorization dynamics between quantum Fisher information and quantum coherence
• Entanglement catalysis for quantum states and noisy channels
• Amount of quantum coherence needed for measurement incompatibility
• Relating Heat and Entanglement in Strong Coupling Thermodynamics
• Simple Bounds for One-shot Pure-State Distillation in General Resource Theories
• Converting coherence based on positive-operator-valued measures into entanglement
• Quantum switch instabilities with an open control
• Nonlocality and entropic uncertainty relations in neutrino oscillations
• Optoelectronic control of atomic bistability with graphene
• Improving parameters estimation in Gaussian channels using quantum coherence
• Characterizing coherence with quantum observables
• Sufficient condition for universal quantum computation using bosonic circuits
• What it takes to shun equilibration
• Quantum coherence controls the nature of equilibration in coupled chaotic systems
• Catalysis always degrades external quantum correlations
• Enhancing Gaussian quantum metrology with position-momentum correlations
• Quantum Coherence Versus Non-Classical Correlations in Optomechanics
• Asymptotically Consistent Measures of General Quantum Resources: Discord, Non-Markovianity, and Non-Gaussianity
• Anomalies of weight-based coherence measure and mixed maximally coherent states
• Experimental virtual distillation of entanglement and coherence
• Harnessing quantumness of states using discrete Wigner functions under (non)-Markovian quantum channels
• Identifying nonclassicality from experimental data using artificial neural networks
• Quantifying necessary quantum resources for nonlocality
• Diagnostics of quantum-gate coherences via end-point-measurement statistics
• Increasing the dimension of the maximal pure coherent subspace of a state via incoherent operations
• Coherence distribution in multipartite systems
• Resource Marginal Problems
• Fluctuations and stability of a fast driven Otto cycle
• Foundations of quantum mechanics and their impact on contemporary society
• Metrological advantage at finite temperature for Gaussian phase estimation
• Super-resolution of two unbalanced point sources assisted by the entangled partner
• On the classicality of quantum dephasing processes
• Coherence measures based on sandwiched Rényi relative entropy
• The entropy production of thermal operations
• Enhancing violations of Leggett-Garg inequalities in nonequilibrium correlated many-body systems by interactions and decoherence
• Measurement disturbance and conservation laws in quantum mechanics
• Quantifying Quantumness in (A)dS spacetimes with Unruh-DeWitt Detector
• Hierarchical Verification of Non-Gaussian Coherence in Bosonic Quantum States
• Geometric quantum discord and coherence in a dipolar interacting magnetic system
• Relative purity, speed of fluctuations, and bounds on equilibration times
• Extracting work from coherence in a two-mode Bose-Einstein condensate
• Dephasing-rephasing dynamics of one-dimensional tunneling quasicondensates
• Preserving quantum correlations and coherence with non-Markovianity
• Estimating quantum coherence by noncommutativity of any observable and its incoherent part
• Tomographic Witnessing and Holographic Quantifying of Coherence
• Resource theory of heat and work with non-commuting charges
• Quantum work: Reconciling quantum mechanics and thermodynamics
• Universal resources for quantum computing
• Attainable and usable coherence in X states over Markovian and non-Markovian channels
• Quasi-inversion of quantum and classical channels in finite dimensions
• Cohering and decohering power of massive scalar fields under instantaneous interactions
• Quantumness and speedup limit of a qubit under transition frequency modulation
• Beam splitter as quantum coherence-maker
• Distance-based resource quantification for sets of quantum measurements
• Non-Markovianity through entropy-based quantum thermodynamics
• Measuring statistics-induced entanglement entropy with a Hong-Ou-Mandel interferometer
• Coherence-based operational nonclassicality criteria
• Work and Fluctuations: Coherent vs. Incoherent Ergotropy Extraction
• Quantum search degeneration under amplitude noise in queries to the oracle
• Energy requirement for implementing unitary gates on energy-unbounded systems
• Effective Gibbs state for averaged observables
• Conversion of Gaussian states under incoherent Gaussian operations
• The Average Quantum Coherence of Pure State Decomposition
• Exclusion principle for nonlocal advantage of quantum coherence
• Geometrical optimization of spin clusters for the preservation of quantum coherence
• Diagnosing Quantum Phases Using Long-Range Two-Site Quantum Resource Behaviors
• Quantum versus classical transport of energy in coupled two-level systems
• Disorder-Protected Quantum State Transmission through Helical Coupled-Resonator Waveguides
• Genuine non-Gaussian entanglement of light and quantum coherence for an atom from noisy multiphoton spin-boson interactions
• Identifying quantum phase transitions via geometric measures of nonclassicality
• Quantifying the performance of multi-pulse quantum sensing
• Coherence and imaginarity of quantum states
• Finite Block Length Analysis on Quantum Coherence Distillation and Incoherent Randomness Extraction
• Relating relative Rényi entropies and Wigner-Yanase-Dyson skew information to generalized multiple quantum coherences
• Derivation of quantum theory with superselection rules
• Molecular Nanomagnet ${\text{Cu}}^{\text{II}}{\text{Ni}}^{\text{II}}{\text{Cu}}^{\text{II}}$ as Resource for Bipartite and Tripartite Quantum Entanglement and Coherence
• Self-Adaptive Quantum Kernel Principal Components Analysis for Compact Readout of Chemiresistive Sensor Arrays
• Quantum features of the transport through ion channels in the soft knock-on model
• A study of coherence based measure of quantumness in (non) Markovian channels
• Quantum error correction assisted quantum metrology without entanglement
• Broadcasting of quantum correlations in qubit-qudit systems
• Gaussian Rényi-2 correlations in a nondegenerate three-level laser
• Dispersive vacuum as a decoherence amplifier of an Unruh-DeWitt detector
• Quantum coherence and entanglement in neutral-current neutrino oscillation in matter
• Probing, Quantifying and Freezing Coherence in a Thermal Ensemble of Atoms
• Necessity for quantum coherence of nondegeneracy in energy flow
• Gravitational Effects on Quantum Coherence in Neutrino Oscillation
• Noisy frequency estimation with noisy probes
• Common Coherence Witnesses and Common Coherent States
• Many-body quantum sign structures as non-glassy Ising models
• Sudden death of entanglement in fermionic systems under collective decoherence
• Determining quantum coherence with minimal resources
• Pairwise Measurement Induced Synthesis of Quantum Coherence
• The resource theory of coherence for quantum channels
• Nonresonant two-level transitions: Lessons from quantum thermodynamics
• Classical evolution in quantum systems
• Quantum noise can enhance algorithmic cooling
• Accessible bounds for general quantum resources
• Energy spectra and fluxes of turbulent rotating Bose-Einstein condensates in two dimensions
• How does interference fall?
• Towards realization of universal quantum teleportation using weak measurements
• Majorization and the time complexity of linear optical networks
• Phase covariant channel: Quantum speed limit of evolution
• On the role of initial coherence in the spin phase-space entropy production rate
• Compositional resource theories of coherence
• Hierarchy of quantum operations in manipulating coherence and entanglement
• Thermal critical dynamics from equilibrium quantum fluctuations
• Entanglement and non-locality in quantum protocols with identical particles
• Smooth Metric Adjusted Skew Information Rates
• Quantifying Superpositions Between Quantum Evolutions
• A topologically protected quantum dynamo effect in a driven spin-boson model
• Genuine Multipartite Entanglement in Quantum Optimization
• Synchronization Lower Bounds the Efficiency of Near-Degenerate Thermal Machines
• Nonlocal quantum state ensembles and quantum data hiding
• Quantum Coherence in Ergodic and Many-Body Localized Systems
• Spin-orbit implementation of Solovay-Kitaev decomposition of single-qubit channels
• Entanglement and Entropy in Electron-Electron Scattering
• Coherence of assistance and regularized coherence of assistance
• Approximate distillation of quantum coherence
• (Thermo-)dynamics of the spin-boson model in the weak coupling regime: Application as a quantum battery
• Spectral Bounds on Entropy and Ergotropy via Statistical Effective Temperature in Classical Polarization and Quantum Thermal States
• Coherence Fraction in Grover Search Algorithm
• No nonlocal advantage of quantum coherence beyond quantum instrumentality
• Experimental Extraction of Coherent Ergotropy and Its Energetic Cost in a Superconducting Qubit
• Hybrid quantum-classical chaotic NEMS
• Entropic Diagram Characterization of Quantum Coherence: Degenerate Distillation and the Maximum Eigenvalue Uncertainty Bound
• Entanglement theory with limited computational resources
• Resource-efficient Direct Characterization of General Density Matrix
• Enhancing nonclassical bosonic correlations in a Quantum Walk network through experimental control of disorder
• Thermodynamics of a phase-driven proximity Josephson junction
• Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
• Dynamics and Redistribution of Entanglement and Coherence in Three Time-Dependent Coupled Harmonic Oscillators
• Faithful coherent states
• Active quantum flocks
• Memory effects in quantum dynamics modelled by quantum renewal processes
• Resource engines
• Optimized Laser Models with Heisenberg-Limited Coherence and Sub-Poissonian Beam Photon Statistics
• Quantum coherence, correlations and nonclassical states in the two-qubit Rabi model with parametric oscillator
• Hierarchy of continuous-variable quantum resource theories
• Trade-off relations of l_1-norm coherence for multipartite systems
• Metrological usefulness of entanglement and nonlinear Hamiltonians
• Quantum asymmetry and noisy multi-mode interferometry
• Coherence based on positive operator-valued measures for standard and concatenated quantum state discrimination with inconclusive results
• Thermally-induced qubit coherence in quantum electromechanics
• Two-qubit trace-norm geometric discord: the complete solution
• Quantum Causal Structure and Quantum Thermodynamics
• Theory of Quantum Path Computing with Fourier Optics and Future Applications for Quantum Supremacy, Neural Networks and Nonlinear Schrödinger Equations
• Quantum coherence dynamics of displaced squeezed thermal state in a Non-Markovian environment
• The Hadamard gate cannot be replaced by a resource state in universal quantum computation
• Quantumness of pure-state ensembles via coherence of Gram matrix based on generalized $\alpha$-$z$-relative Rényi entropy
• Incoherent Gaussian equivalence of $m-$mode Gaussian states
• The optimal approximation of qubit states with limited quantum states
• Experimental investigation of quantum uncertainty relations with classical shadows
• Quantum versus classical $P$-divisibility
• Witnessing quantum coherence with prior knowledge of observables
• Quantum coherence between subspaces: State transformation, Cohering Power, $k$-coherence and other properties
• Coherence filtration under strictly incoherent operations
• Infinitesimal reference frames suffice to determine the asymmetry properties of a quantum system
• Predictability as a quantum resource
• Characterizing entanglement using quantum discord over state extensions
• Action in Hamiltonian Models Constructed by Yang-Baxter Equation: Entanglement and Measures of Correlation
• Quantum Coherence, Coherent Information and Information Gain in Quantum Measurement
• An introductory review on resource theories of generalized nonclassical light
• Trade-off relations of geometric coherence
• Resource Theory of Non-absolute Separability
• Entanglement production by the magnetic dipolar interaction dynamics
• Device-independent Verification of Quantum Coherence without Quantum Control
• Faster entanglement driven by quantum resonance in many-body kicked rotors
• Criterion for a state to be distillable via stochastic incoherent operations
• Non-stabilizerness in quantum-enhanced metrological protocols
• Dynamics of quantum discommensurations in the Frenkel-Kontorova chain
• Ergotropy in Quantum Batteries
• Quantum non-Markovianity, quantum coherence and extractable work in a general quantum process
• Impossibility of creating a superposition of unknown quantum states
• Auxiliary-assisted energy distillation from quantum batteries
• From Quantum Source Compression to Quantum Thermodynamics
• Entanglement dynamics of a dc SQUID interacting with a single-mode radiation field
• Encoding quantum bits in bound electronic states of a graphene nanotorus
• Emergence of maximal hidden quantum correlations and its trade-off with the filtering probability in dissipative two-qubit systems
• Experimental demonstration of optimal probabilistic enhancement of quantum coherence
• Magnetic Dipolar Quantum Battery with Spin-Orbit Coupling
• How coherence measurements of a qubit steer its quantum environment
• Classically Replaceable Operations
• Quantum coherence in neutrino oscillation in matter
• No-go theorems for deterministic purification and probabilistic enhancement of coherence
• Uncertainty and certainty relations for quantum coherence with respect to design-structured POVMs
• Universal time scalings of sensitivity in Markovian quantum metrology
• A Compendious Review of Majorization-Based Resource Theories: Quantum Information and Quantum Thermodynamics
• Upper bound for quantum entropy production from entropy flux
• Localizable quantum coherence
• Unifying Entanglement with Uncertainty via Symmetries of Observable Algebras
• Role of quantum state texture in probing resource theories and quantum phase transition
• One-shot manipulation of coherence in dynamic quantum resource theory
• Unified Framework for Calculating Convex Roof Resource Measures
• Quantumness near the Schwarzschild black hole based on W-state
• Quantum coherence of an orbital angular momentum multiplexed continuous-variable entangled state
• $l_1$ norm of coherence is not equal to its convex roof quantifier
• Coherence of assistance and assisted maximally coherent states
• Quantum decoherence dynamics in stochastically fluctuating environments
• Uncertainty relations based on state-dependent norm of commutator
• Faithful extraction of quantum coherence
• Harvesting quantum coherence from axion dark matter
• Frozen condition of quantum coherence
• Advancing Quantum Otto Engine Performance via Additional Magnetic Field and Effective Negative Temperature
• Manifestation of Superposition and Coherence in $\mathcal{P}\mathcal{T}$-symmetry through the $\eta$-inner Product
• Symmetry: a fundamental resource for quantum coherence and metrology
• Partial Distinguishability as a Coherence Resource in Boson Sampling
• Wave-particle duality revisited: Neither wave nor particle
• Certifying nonstabilizerness in quantum processors
• Covariant influences for finite discrete dynamical systems
• Superdense Coding in Resource Theory of Asymmetry
• System-environment dynamics of GHZ-like states in noninertial frames
• Memory effects in high-dimensional systems faithfully identified by Hilbert-Schmidt speed-based witness
• Dynamics of quantum coherence in many-body localized systems
• Landscapes of an out-of-equilibrium anyonic sea
• All multipartite entanglements are quantum coherences in locally distinguishable bases
• Coherence and Imaginarity as Resources in Quantum Circuit Complexity
• Efficient quantum algorithms for testing symmetries of open quantum systems
• Entanglement of Local Hidden States
• Delocalized and Dynamical Catalytic Randomness and Information Flow
• Estimating coherence with respect to general quantum measurements
• Quantum Speed Limit for Change of Basis
• On the role of symmetry and geometry in global quantum sensing
• Coherence via reiterated beam splitting
• Quantum resources in Harrow-Hassidim-Lloyd algorithm
• Fundamental limits on concentrating and preserving tensorized quantum resources
• Quantum Computational Complexity and Symmetry
• The Geometric Structure of Quantum Resources for Bell-diagonal states
• Quadrature Coherence Scale of Linear Combinations of Gaussian Functions in Phase Space
• System-environment quantum information flow
• Estimating the privacy of quantum-random numbers
• Quantum Advantage: A Single Qubit's Experimental Edge in Classical Data Storage
• Certifying Multilevel Coherence in the Motional State of a Trapped Ion
• The Dynamics of Entropies at the Onset of Interactions
• Geometry of Kirkwood-Dirac classical states: A case study based on discrete Fourier transform
• Quantum coherence of a long-lifetime exciton-polariton condensate
• Decoherence of spin superposition state caused by a quantum electromagnetic field
• Certifying quantumness beyond steering and nonlocality and its implications on quantum information processing
• Exploring the limits of the generation of non-classical states of spins coupled to a cavity by optimal control
• Quantum coherence in neutrino spin-flavor oscillations
• Incoherent witnessing of quantum coherence
• Super-quantum discord in ferromagnetic and antiferromagnetic materials
• The Complementary Information Principle of Quantum Mechanics
• On optimal cloning and incompatibility
• On the role of coherence for quantum computational advantage
• Many-body quantum resources of graph states
• Correlation between resource-generating capacities of quantum gates
• Analytically Computable Symmetric Quantum Correlations
• Quantum Features of the Thermal Two-Qubit Quantum Rabi Model in Ultra- and Deep-Strong Regimes
• Quantum Coherence of Topologically Frustrated Spin Chains
• Characterisation of multi-level quantum coherence without ideal measurements
• Quantifying Coherence with Untrusted Devices
• Uncertainty relations for unified ($\alpha$,$\beta$)-relative entropy of coherence under mutually unbiased equiangular tight frames
• Completeness Stability of Quantum Measurements
• Quantum correlations for anonymous metrology
• Non-Markovian dynamics of the electronic subsystem in a laser-driven molecule: Characterization and connections with electronic-vibrational entanglement and electronic coherence
• Projective robustness for quantum channels and measurements and their operational significance
• Optimal decomposition of incoherent qubit channel
• Nonclassical correlations in subsystems of globally entangled quantum states
• On coherence of quantum operations by using Choi-Jamiołkowski isomorphism
• Transient Dynamics and Homogenization in Incoherent Collision Models
• The second law and beyond in microscopic quantum setups
• Spread and asymmetry of typical quantum coherence and their inhibition in response to glassy disorder
• Quantum coherence with incomplete set of pointers and corresponding wave-particle duality
• Gleipnir: Toward Practical Error Analysis for Quantum Programs (Extended Version)
• Coherence, superposition, and Löwdin symmetric orthogonalization
• Coherence and entanglement under three qubit cloning operations
• Quantifying the phase of quantum states
• Distribution and generation of quantum coherence for Gaussian states in de Sitter space
• Robust storage qubits in ultracold polar molecules
• Spatial and temporal coherence via polarization mutual coherence function
• Quantum channels and some absolute properties of quantum states
• The verification of a requirement of entanglement measures
• Jaynes-Cummings atoms coupled to a structured environment: Leakage elimination operators and the Petz recovery maps
• Analytic Formulas for Quantum Discord of Special Families of N-Qubit States
• Creation of quantum coherence with general measurement processes
• Diagonal Entropy and Topological Phase Transitions in Extended Kitaev Chains
• Interconversion between block coherence and multipartite entanglement in many-body systems
• Extending Resource Monotones using Kan Extensions
• Quantum Coherence and Distinguishability as Complementary Resources: A Resource-Theoretic Perspective from Wave-Particle Duality
• The best approximation of a given qubit state with the limited pure-state set
• Entanglement signature in quantum work statistics in the slow-driving regime
• Coherence in quantum estimation
• Path superposition activating perfect quantum teleportation ability for separable states
• Quantifying quantum non-Markovianity based on quantum coherence via skew information
• Quantitative non-classicality of mediated interactions
• Better Heisenberg limits, coherence bounds, and energy-time tradeoffs via quantum Rényi information
• Dynamics of quantum resources in regular and Majorana fermion systems
• Detecting and Eliminating Quantum Noise of Quantum Measurements
• Two-particle quantum correlations in stochastically-coupled networks
• Coherence as a resource for phase estimation
• A family of quantum von Neumann architecture
• Resource theories with completely passive states and passive states as free states
• Identifying the value of a random variable unambiguously: Quantum versus classical approaches
• Relating quantum coherence and correlations with entropy-based measures
• Nonequilibrium quantum thermometry with noncommutative system-bath couplings
• Strong superadditivity relations for multiqubit systems
• Single energy measurement Integral Fluctuation theorem and non-projective measurements
• Anomalous flow in correlated quantum systems: No-go result and multiple-charge scenario
• Measure-independent description of wave-particle duality via coherence
• Phase-space quantum Wiener-Khintchine theorem
• Anharmonicity can enhance the performance of quantum refrigerators
• Work fluctuation theorems with initial quantum coherence
• Fidelity of the Kitaev honeycomb model under a quench
• Single-shot entanglement manipulation of states and channels revisited
• Tailoring the quantumness of a driven qubit
• Entropy Production from Maximum Entropy Principle: a Unifying Approach
• Coherent Quantum Speed Limits
• Invariant Off-Diagonality: SICs as Equicoherent Quantum States
• Improving quantum channel discrimination with resourceful states
• Measure of genuine coherence based of quasi-relative entropy
• Thermodynamic state convertibility is determined by qubit cooling and heating
• Weak measurements, non-classicality and negative probability
• Hallmarking quantum states: unified framework for coherence and correlations
• Evidence of genuine quantum effects in nonequilibrium entropy production
• Resource theory of dephasing estimation in multiqubit systems
• Enhanced frequency estimation by non-Gaussianity of Fock states
• Negative Wigner function by decaying interaction from equilibrium
• All non-Gaussian states are advantageous for channel discrimination: Robustness of non-convex continuous variable quantum resources
• Thermodynamic criteria for signaling in quantum channels
• Quantum Magic in Discrete-Time Quantum Walk
• Probing Kirkwood-Dirac nonpositivity and its operational implications via moments
• Asymmetry activation and its relation to coherence under permutation operation
• Synthesizing and multiplexing autonomous quantum coherences
• Discovery of energy landscapes towards optimized quantum transport: Environmental effects and long-range tunneling
• Quantum speed limits based on Jensen-Shannon and Jeffreys divergences for general physical processes
• The tightness of multipartite coherence from spectrum estimation
• Entropic uncertainty and coherence in Einstein-Gauss-Bonnet gravity
• Coherence-induced deep thermalization transition in random permutation quantum dynamics
• On the stabilizer complexity of Hawking radiation
• Stochastic approximate state conversion for entanglement and general quantum resource theories
• Quantum Coherence and Anomalous Work Extraction in Qubit Gate Dynamics
• Charge-Preserving Operations in Quantum Batteries
• Entanglement versus cooling in the system of a driven pair of two-level qubits longitudinally coupled with a boson mode field
• Tradeoff between noise and banding in a quantum adder with qudits
• Off-resonant preservation and generation of imaginarity in distributed scenarios
• Coherence measure of ensembles with nonlocality without entanglement
• Superiority of Krylov shadow tomography in estimating quantum Fisher information: From bounds to exactness
• Entropic and operational characterizations of dynamic quantum resources
• Magnetic Field Detection Using a Two-Qubit System Under Noisy Heisenberg Interaction
• Remote Creation of Quantum Coherence via Indefinite Causal Order
• Entanglement between dependent degrees of freedom: Quasiparticle correlations
• Coherence of quantum non-Gaussian states via nonlinear absorption of quanta
• Weight-based measure of quantum memory as a universal and operational benchmark
• State convertibility under genuinely incoherent operations
• Basis-independent Coherence in Noninertial Frames
• Interrelation of nonclassicality conditions through stabiliser group homomorphism
• Phase Transitions in Light-Matter Systems for Quantum Sensing
• Strict advantage of complex quantum theory in a communication task
• Effect of Weak Measurement Reversal on Quantum Correlations in a Correlated Amplitude Damping Channel, with a Neural Network Perspective
• Photonic Energy-Coherence Theorem and Experimental Validations
• Tighter superadditivity relations for $l_1$-norm coherence measure
• Quantum enhancement of qutrit dynamics through driving field and photonic band-gap crystal
• To share and not share a singlet: control qubit and nonclassicality in teleportation
• Coherence-induced quantum forces
• A note on robustness of coherence for multipartite quantum states
• The quantum uncertainty relations of quantum channels
• Mixed-permutation channel with its application to estimate quantum coherence
• Operational simultaneous correlations in complementary bases of bipartite states via one-sided semi-device-independent steering
• Experimental verification of a coherence factorization law for quantum states
• Detecting quantum resources in a semi-device independent framework
• Bounds on positive operator-valued measure based coherence of superposition
• Recovery of resources through sequential noisy measurements
• Quantum fluctuation theorem for initial near-equilibrium system
• On the energetic analysis of autonomous quantum systems
• Quantum computational advantage implies contextuality
• Limitations for private randomness repeaters
• Coordinately Assisted Distillation of Quantum Coherence in Multipartite System
• Dynamical phase and quantum heat at fractional frequencies
• Experimental demonstration of robustness of Gaussian quantum coherence
• When quantum memory is useful for dense coding
• Minimal-error quantum state discrimination versus robustness of entanglement:More indistinguishability with less entanglement
• The polygon relation and subadditivity of entropic measures for discrete and continuous multipartite entanglement
• Classical Invasive Description of Informationally-Complete Quantum Processes
• Optimal quantum resource generation in coupled transmons immersed in Markovian baths
• Methods of constructing superposition measures
• An operational characterization of infinite-dimensional quantum resources
• Characterising two-sided quantum correlations beyond entanglement via metric-adjusted f-correlations
• Necessary and Sufficient Condition for the Equivalence of Two Pure Multipartite States under Stochastic Local Incoherent Operations and Classical Communications
• Detector entanglement: Quasidistributions for Bell-state measurements
• Operationally classical simulation of quantum states
• Geometric measures of quantum nonlocality: characterization, quantification, and comparison by distances and operations
• Sensing microscopic noise events by frequent quantum measurements
• Liouville Fock state lattices and potential simulators
• Environment engineering to protect quantum coherence in tripartite systems under dephasing noise
• Fundamental precision limits in finite-dimensional quantum thermal machines
• Mathematical methods for resource-based type theories
• Continuity of measurement outcomes
• Coherence Concurrence for X States
• Geometric measures of discordlike quantum correlations based on Tsallis relative entropy
• Dephasing superchannels
• Dynamical redistribution of quantum resources in tree-level Bhabha scattering
• Quantifying Quantum Correlations in Annihilation Photon Pairs under Compton Scattering
• Quantum Coherence Bounds the Distributed Discords
• Quantum correlations and coherence in a two-qubit anisotropic $XY$ under magnetic field
• Experimental certification of the nonlocal advantages of quantum imaginarity
• Emergence of Classical Objectivity of Quantum Darwinism in a Photonic Quantum Simulator
• Quantum Coherence in Noisy Cellular Automata
• Universality in fidelity-based quantum metrology
• Hierarchies among genuine multipartite entangling capabilities of quantum gates
• Measuring Incompatible Observables with Quantum Neural Networks
• Coherence and Entanglement in a Non-commutative Spacetime
• Design Principles for Enhanced Quantum Transport with Site-Dependent Noise
• Entanglement concentration via measurement:- role of imaginarity
• Toward Witnessing Molecular Exciton Entanglement from Spectroscopy
• Quantum Resource Theory of Lasers
• Phase-sensitive superposition of quantum states
• Direct estimation of quantum coherence by collective measurements
• Controlling Quantum Coherence of V-type Atom in Dissipative Cavity by Detuning and Weak Measurement Reversal
• Sequential information theoretic protocols in continuous variable systems
• Quantum Advantage in Identifying the Parity of Permutations with Certainty
• Coherence, nonclassicality and metrological resolution
• A thorough introduction to non-relativistic matrix mechanics in multi-qudit systems with a study on quantum entanglement and quantum quantifiers
• Coherence Based Characterization of Macroscopic Quantumness
• Nonclassical photocounting statistics with a single on-off detector
• Strictly incoherent operations for one-qubit systems
• Distance-based approach to quantum coherence and nonclassicality
• Probabilistic Coherence Transformation Under Strictly Incoherent Operation
• Time evolution of quantum correlations in presence of state dependent bath
• Connecting Commutativity and Classicality for Multi-Time Quantum Processes
• Imperfect Entangling Power of Quantum Gates
• Dynamics of Quantum Coherence and Non-Classical Correlations in Open Quantum System Coupled to a Squeezed Thermal Bath
• Randomness quantification in spontaneous emission
• Probing parameters estimation with Gaussian non-commutative measurements
• Macroscopicity and observational deficit in states, operations, and correlations
• Efficient detection of localization transitions using predictability
• Incoherent Approximation of Leakage in Quantum Error Correction
• Unconditionally superposition-robust entangled state in all multiparty quantum systems
• Quantum advantage in a unified scenario and secure detection of resources
• Static and dynamic coherence fraction in the Bernstein-Vazirani algorithm
• Quantum speed limit for observables from quantum asymmetry
• Experimental demonstration of complementarity relations between quantum steering criteria
• Quantifying coherence of quantum measurements
• Quantum coherence and counterdiabatic quantum computing
• Scalable protocol to coherence estimation from scarce data: Theory and experiment
• Identical damped harmonic oscillators described by coherent states
• Response to glassy disorder in coin on spread of quantum walker
• Quantum partial coherence measures constructed from Fisher information
• Thermodynamic bound on quantum state discrimination
• Tachyonic and parametric instabilities in an extended bosonic Josephson junction
• Latent optical nonclassicality of conditionally prepared states
• Entanglement as the cross-symmetric part of quantum discord
• Operational Interpretation of Quantum Fisher Information in Quantum Thermodynamics
• State transfer with separable optical beams and variational quantum algorithms with classical light
• Convexity of noncontextual wirings and how they order the set of correlations
• From Independent to Joint: Enhancing Quantum Phase and Correlation Factor Estimation by Squeezed Reservoir Engineering
• Impact of quadrature measurement on quantum coherence
• Behavior of quantum coherence in the ultrastrong and deep strong coupling regimes of light-matter system
• Relative volume of comparable pairs under semigroup majorization
• Quantum mutual information, coherence and unified relations of top quarks in QCD processes
• Statistics of Entanglement Transformation with Hierarchies among Catalysts
• Different Types of Coherence: Young-type Interference versus Dicke Superradiance
• Closed expressions for one-qubit states of convex roof coherence measures
• Characterizing the Gaussian coherence-breaking channel and its property with assistant entanglement inputs
• A finite sufficient set of conditions for catalytic majorization
• Sequences of lower bounds for entropic uncertainty relations from bistochastic maps
• On the classification of two-qubit group orbits and the use of coarse-grained 'shape' as a superselection property
• Comparing coherence measures for X states: Can quantum states be ordered based on quantum coherence?
• Coherence revival under the Unruh effect and its metrological advantage
• Decoherence dynamics of entangled quantum states in the $XXX$ central spin model
• Experimental implementation of universal holonomic quantum computation on solid-state spins with optimal control
• Converting entanglement into ensemble basis-free coherence
• The uncertainty of quantum states with respect to the projective measurement
• Quantifying coherence with quantum addition
• The Coherent Crooks Equality
• Quantum Effects in Ion Transport: A Thermodynamic Resource Theory Approach
• Optimal-speed unitary quantum time evolutions and propagation of light with maximal degree of coherence
• The coherent measurement cost of coherence distillation
• Incoherent Operations Enable State Transformations Impossible under Dephasing-covariant Incoherent Operations