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