Separability Criterion for Density Matrices

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DOI10.1103/PhysRevLett.77.1413zbMath0947.81003arXivquant-ph/9604005WikidataQ59476486 ScholiaQ59476486MaRDI QIDQ4492376

Asher Peres

Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9604005

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Quantum equilibrium statistical mechanics (general) (82B10)

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entanglement negativity of two disjoint intervals for a one dimensional free fermion ⋮ SEPARABILITY: A NEW APPROACH FROM THE CONIC STRUCTURE OF POSITIVE OPERATORS ⋮ ENTANGLEMENT DEATH AND PURITY LOSS FOREVER IN THE DISPERSIVE INTERACTION OF A TRAPPED ION AND LIGHT WITHOUT ENERGY RELAXATION ⋮ A practical method for computing the largestM-eigenvalue of a fourth-order partially symmetric tensor ⋮ ENTANGLEMENT DYNAMICS OF THREE-QUBIT STATES UNDER A SPIN ENVIRONMENT ⋮ A Note on Positive Maps and Classification of States ⋮ A Simple Proof of the Jamiołkowski Criterion for Complete Positivity of Linear Maps ⋮ Analytic solution for entangled two-qubit in a cavity field ⋮ DUALITIES AND POSITIVITY IN THE STUDY OF QUANTUM ENTANGLEMENT ⋮ ENTANGLEMENT MEASURE OF BIPARTITE SYSTEM STATES ⋮ Entanglement sudden death and sudden birth of an atom coupled to a bimodal lossy cavity ⋮ Quantum entanglement in dense multiqubit systems ⋮ ENTANGLEMENT PROPERTY AND MONOGAMY RELATION OF GENERALIZED MIXED W STATES ⋮ On the Tensor Convolution and the Quantum Separability Problem ⋮ Entanglement and quantum groups ⋮ Cones of positive maps and their duality relations ⋮ On the Bures volume of separable quantum states ⋮ Colloquium: The Einstein-Podolsky-Rosen paradox: From concepts to applications ⋮ Quantum entanglement ⋮ Colloquium: The physics of Maxwell’s demon and information ⋮ Entanglement in many-body systems ⋮ Quantum information with continuous variables ⋮ Quantum information and relativity theory ⋮ Information and computation: Classical and quantum aspects ⋮ The role of relative entropy in quantum information theory ⋮ ENTANGLEMENT AND TELEPORTATION IN BIPARTITE SYSTEM ⋮ ENTANGLEMENT SWAPPING OF PAIR CAT STATES ⋮ AN EFFICIENT SEPARABILITY CRITERION FOR n-PARTITE ARBITRARILY DIMENSIONAL QUANTUM STATES ⋮ Quantum Entanglement and Quantum Discord of Two-Mode Gaussian States in a Thermal Environment ⋮ CLASSICAL TENSORS AND QUANTUM ENTANGLEMENT II: MIXED STATES ⋮ Quantum Markov channels for qubits ⋮ Qubit-qutrit separability-probability ratios ⋮ Bell-correlated activable bound entanglement in multiqubit systems ⋮ Entanglement in SO(3)-invariant bipartite quantum systems ⋮ Violating Bell’s inequalities in vacuum ⋮ Entanglement witnesses in spin models ⋮ Entanglement in SU(2)-invariant quantum systems: The positive partial transpose criterion and others ⋮ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>P</mml:mi></mml:math>-representable subset of all bipartite Gaussian separable states ⋮ Measuring Quantum Entanglement without Prior State Reconstruction ⋮ Covariance Matrices and the Separability Problem ⋮ Experimental Realization of Deutsch’s Algorithm in a One-Way Quantum Computer ⋮ Relativity and Lorentz Invariance of Entanglement Distillability ⋮ ENTANGLEMENT FOR JAYNES CUMMINGS MODEL IN THE PRESENCE MULTI-PHOTON PROCESS UNDER DECOHERENCE EFFECT ⋮ SPIN SQUEEZING DYNAMICS IN TWO-COMPONENT BOSE–EINSTEIN CONDENSATES ⋮ Nonclassical mixed states that generate zero entanglement with a beam splitter ⋮ Hilbert's projective metric in quantum information theory ⋮ Entanglement evolution via quantum resonances ⋮ Understanding non-classical correlation using optical hybrid states in noisy quantum channels ⋮ Existence of product vectors and their partial conjugates in a pair of spaces ⋮ Description of rank four entangled states of two qutrits having positive partial transpose ⋮ Classification of bi-qutrit positive partial transpose entangled edge states by their ranks ⋮ MAXIMIZING GENUINE MULTIPARTITE ENTANGLEMENT OF N MIXED QUBITS ⋮ Separability Conditions for a Subclass of Circulant States in Two-Qutrit System and Quasi-Distillation of Entanglement ⋮ COHERENT AND INCOHERENT BEHAVIORS OF QUBITS INTERACTING WITH A SPIN-PATH PARTICLE ⋮ Equivalence classes and canonical forms for two-qutrit entangled states of rank four having positive partial transpose ⋮ Realigning random states ⋮ The structural physical approximations and optimal entanglement witnesses ⋮ COHERENT AND INCOHERENT CONTENTS OF CORRELATIONS ⋮ QUENCHING DYNAMICS AND QUANTUM INFORMATION ⋮ Exposedness of Choi-Type Entanglement Witnesses and Applications to Lengths of Separable States ⋮ Quantum information in communication and imaging ⋮ The Feynman problem and fermionic entanglement: Fermionic theory versus qubit theory ⋮ Quantum correlations and distinguishability of quantum states ⋮ Partial teleportation of entanglement in a noisy environment ⋮ Separability of entangled q-bit pairs ⋮ Qutrit geometric discord ⋮ Quantum correlations of two qubits beyond entanglement in two lossy cavities linked by a waveguide ⋮ Numerical computations of separability probabilities ⋮ A gap for PPT entanglement ⋮ Merging of positive maps: a construction of various classes of positive maps on matrix algebras ⋮ Constructing separable states in infinite-dimensional systems by operator matrices ⋮ Entanglement in (1/2,1) mixed-spin XY model with long-range interaction ⋮ Quantum entanglement and correlation lengths of a s-wave superconductors in the presence of a weak constant external potential ⋮ Multipartite continuous-variable entanglement distribution with separable Gaussian states ⋮ Transport and diffusion of Brownian particles in a tilted deformable potential ⋮ Bounding the separable rank via polynomial optimization ⋮ Quantum magnonics: when magnon spintronics meets quantum information science ⋮ Quantum entanglement, symmetric nonnegative quadratic polynomials and moment problems ⋮ Detection of multipartite entanglement based on Heisenberg-Weyl representation of density matrices ⋮ Dynamical pairwise entanglement and two-point correlations in the three-ligand spin-star structure ⋮ Entanglement between atomic thermal states and coherent or squeezed photons in a damping cavity ⋮ Limit temperature for entanglement in generalized statistics ⋮ Some aspects of separability revisited ⋮ Thermal entanglement of a V-type three-level atom and bimodal photons ⋮ Spectral properties of symmetric quantum states and symmetric entanglement witnesses ⋮ Entanglement witnesses constructed by permutation pairs ⋮ Multiqubits entanglement based on optimal witness ⋮ Negativity as entanglement degree of a non-Hermitian model ⋮ Entanglement and mixedness of locally cloned non-maximal W-state ⋮ Probing quantum correlations in a hybrid optomechanical system ⋮ Influence of the phase damping for two-qubits system in the dispersive reservoir ⋮ Negativity and quantum phase transition in a mixed spin-\((\frac{1}{2}, \frac{5}{2}, \frac{1}{2})\) Ising-Heisenberg branched chain ⋮ Super-quantum states in \(\mathrm{SU}(2)\) invariant \(3\times N\) level systems ⋮ Exchanging quantum correlations and non-local information between three qubit-syatem ⋮ Search for an efficient entanglement witness operator for bound entangled states in bipartite quantum systems ⋮ Temperley-Lieb quantum channels ⋮ Quantum vs. classical information: operator negativity as a probe of scrambling ⋮ An inverse mass expansion for the mutual information in free scalar QFT at finite temperature ⋮ Construction of cospectral graphs ⋮ Characterization of equivariant maps and application to entanglement detection ⋮ Relativistic quantum information of anyons ⋮ Different correlations in a system of two entangled atoms interacting with the Pólya state field ⋮ Tensor products of quantum mappings ⋮ A field theory study of entanglement wedge cross section: odd entropy ⋮ Convex cones in mapping spaces between matrix algebras ⋮ Construction of noisy bound entangled states and the range criterion ⋮ Quantifying the hybrid entanglement of the Stern-Gerlach experiment using discrete reductions ⋮ The optimal approximation of qubit states with limited quantum states ⋮ \(\beta\)-Variational autoencoder as an entanglement classifier ⋮ Unextendible product bases, bound entangled states, and the range criterion ⋮ Constructing entanglement witnesses from two mutually unbiased bases ⋮ Entanglement evolution and transfer in non-Markovian reservoirs ⋮ Parametrization of projector-based witnesses for bipartite systems ⋮ Necessary and sufficient condition for Greenberger-Horne-Zeilinger diagonal states to be full \(N\)-partite entangled ⋮ Entanglement and Pancharatnam phase for two two-level atoms interacting with a single mode field ⋮ Integral representations of separable states ⋮ Entanglement witnesses and geometry of entanglement of two-qutrit states ⋮ Entanglement on multiple \(S^2\) boundaries in Chern-Simons theory ⋮ Mutually unbiased measurement based entanglement witnesses ⋮ Rényi entanglement entropies for the compactified massless boson with open boundary conditions ⋮ How entangled can a multi-party system possibly be? ⋮ Enhancement of the entanglement generation via randomly perturbed series of external pulses in a nonlinear Bose-Hubbard dimer ⋮ Constructing non-isomorphic signless Laplacian cospectral graphs ⋮ Schmidt number entanglement measure for multipartite \(k\)-nonseparable states ⋮ Study of tangle on the three qubit Werner states by using of twirl operation ⋮ Entanglement between two dipole-coupled qubits interacting with two independent slightly detuned cavity modes ⋮ Thermal field and intrinsic decoherence effects on the dynamics of \(N\)-level moving atomic system ⋮ Constructing entanglement witnesses for infinite-dimensional systems ⋮ Sinkhorn-Knopp theorem for PPT states ⋮ Magnetic shielding of quantum entanglement states ⋮ Quantum mappings and characterization of entangled quantum states ⋮ Mixed-state parameterization and two-qubit entanglement ⋮ Comparative study of the dynamics of quantum entanglement, purity and degree of purity in two hybrid quantum systems: non-Markovian and Markovian regime ⋮ Quantum separability criteria based on realignment moments ⋮ Gaussian entanglement properties in a completely dynamical Arthurs-Kelly measurement process ⋮ Efficacy of Moriya interaction to free the bound entangled state ⋮ Full separability of four-qubit GHZ and W mixed states in white noise ⋮ Entanglement criteria for the bosonic and fermionic induced ensembles ⋮ Entanglement entropies of an interval in the free Schrödinger field theory at finite density ⋮ Detection of genuine entanglement for multipartite quantum states ⋮ Compositions and tensor products of linear maps between matrix algebras ⋮ Minimum distance of the boundary of the set of PPT states from the maximally mixed state using the geometry of the positive semidefinite cone ⋮ Entanglement property of the Werner state in accelerated frames ⋮ Detection of genuine \(n\)-qubit entanglement via the proportionality of two vectors ⋮ Decomposition of completely symmetric states ⋮ The dynamic behaviors of local quantum uncertainty for three-qubit \(X\) states under decoherence channels ⋮ Compound state, its conditionality and quantum mutual information ⋮ Generation and nonclassicality of entangled states via the interaction of two three-level atoms with a quantized cavity field assisted by a driving external classical field ⋮ Probing the entanglement distillability responses to the Unruh effect and prepared states ⋮ Quantum information transfer using weak measurements and any non-product resource state ⋮ Optimization of realignment criteria and its applications for multipartite quantum states ⋮ Genuine entanglement, distillability and quantum information masking under noise ⋮ Estimating parameterized entanglement measure ⋮ Quantum state transfer in atom-cavity systems with uncolored Cayley interacting networks ⋮ Separability of tripartite quantum states with strong positive partial transposes ⋮ A hierarchy of entanglement criteria for four-qubit symmetric Greenberger-Horne-Zeilinger diagonal states ⋮ Entanglement in phase-space distribution for an anisotropic harmonic oscillator in noncommutative space ⋮ Generalizations of Berry phase and differentiation of purified state and thermal vacuum of mixed states ⋮ Quantum synchronization and entanglement of indirectly coupled mechanical oscillators in cavity optomechanics: a numerical study ⋮ Product vectors in the ranges of multi-partite states with positive partial transposes and permanents of matrices ⋮ Entanglement properties of entangled coherent state in symmetrical phase space interacting with entangled atoms ⋮ Entanglement teleportation via one two-qubit spin evolution quantum channel ⋮ Effects of a phase-damping cavity on entanglement and purity loss in two-qubit system ⋮ General SIC measurement-based entanglement detection ⋮ Entangled vacuum state for accelerated observers ⋮ Quantum entanglement and geometry of determinantal varieties ⋮ Bound entanglement and distillability of multipartite quantum systems ⋮ Separability probability formulas and their proofs for generalized two-qubit X-matrices endowed with Hilbert–Schmidt and induced measures ⋮ Перепутывание двух кубитов, взаимодействующих с одномодовым квантовым полем ⋮ SEPARABILITY OF RANK TWO QUANTUM STATES ON MULTIPLE QUANTUM SPACES WITH DIFFERENT DIMENSIONS ⋮ Tutorial Notes on One-Party and Two-Party Gaussian States ⋮ ENTANGLEMENT OF TWO COUPLED CHARGE QUBITS ⋮ Matrix analysis and quantum information ⋮ Characterizing entanglement ⋮ Conditional entropies and their relation to entanglement criteria ⋮ Entanglement witnesses for families of the bound entangled three-qubit states ⋮ The joint measurement entanglement can significantly offset the effect of a noisy channel in teleportation ⋮ The role of phases in detecting three-qubit entanglement ⋮ MEASURE ENTANGLEMENT OF BIPARTITE SYSTEM BY A NEW NONLOCAL EFFECT ⋮ Entanglement in pure and thermal cluster states ⋮ PERMUTATION AND ITS PARTIAL TRANSPOSE ⋮ POVM construction: A simple recipe with applications to symmetric states ⋮ Separability and entanglement of two qubits density matrices using Lorentz transformations ⋮ Quantum correlations and coherence dynamics in qutrit–qutrit systems under mixed classical environmental noises ⋮ Entanglement criteria for the three-qubit states ⋮ Nongeneric positive partial transpose states of rank five in 3×3 dimensions ⋮ Entanglement spectrum degeneracy and the Cardy formula in 1+1 dimensional conformal field theories ⋮ Amortized entanglement of a quantum channel and approximately teleportation-simulable channels ⋮ Competition of direct and indirect sources of thermal entanglement in a spin-star network ⋮ Einstein–Podolsky–Rosen-like separability indicators for two-mode Gaussian states ⋮ INFLUENCE OF INTRINSIC DECOHERENCE ON THE ENTANGLEMENT BETWEEN TWO ATOMS IN TAVIS–CUMMINGS MODEL ⋮ SIMULTANEOUS QUANTUM STATE TELEPORTATION VIA THE LOCKED ENTANGLEMENT CHANNEL ⋮ CIRCULANT DECOMPOSITIONS FOR BIPARTITE QUANTUM SYSTEMS ⋮ ASYMPTOTIC ENTANGLEMENT IN OPEN QUANTUM SYSTEMS ⋮ PAIRWISE ENTANGLEMENT WITH SPIN IMPURITY ⋮ Entangled non-Gaussian states formed by mixing Gaussian states ⋮ SEPARABILITY OF TRIPARTITE QUANTUM SYSTEMS ⋮ Visualizing two qubits ⋮ On the degree conjecture for separability of multipartite quantum states ⋮ Computational tools for solving a marginal problem with applications in Bell non-locality and causal modeling ⋮ IMPURITY EFFECTS ON THE ENTANGLEMENT OF SPIN-ONE HEISENBERG MODEL ⋮ Freezing dynamics of entanglement and nonlocality for qutrit-qutrit (3 ⊗ 3) quantum systems ⋮ Entanglement of a class of non-Gaussian states in disordered harmonic oscillator systems ⋮ Spin structures and entanglement of two disjoint intervals in conformal field theories ⋮ Estimation for entanglement negativity of free fermions ⋮ Entanglement negativity in a two dimensional harmonic lattice: area law and corner contributions ⋮ Petz recovery versus matrix reconstruction ⋮ THE EFFECT OF DIFFERENT DZYALOSHINSKII–MORIYA INTERACTIONS ON TELEPORTATION VIA A TWO-QUBIT HEISENBERG CHAIN ⋮ Spatial multipartite entanglement and localization of entanglement ⋮ Entanglement criteria and nonlocality for multimode continuous-variable systems ⋮ Detection and typicality of bound entangled states ⋮ Bipartite concurrence and localized coherence ⋮ Complete conditions for legitimate Wigner distributions ⋮ Proper monogamy inequality for arbitrary pure quantum states ⋮ Separability properties of tripartite states with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>U</mml:mi><mml:mo>⊗</mml:mo><mml:mi>U</mml:mi><mml:mo>⊗</mml:mo><mml:mi>U</mml:mi></mml:math>symmetry ⋮ Characterization of separable states and entanglement witnesses ⋮ Entanglement and the speed of evolution in mixed states ⋮ Chaos, entanglement, and decoherence in the quantum kicked top ⋮ Entanglement, Einstein-Podolsky-Rosen correlations, Bell nonlocality, and steering ⋮ Entanglement Detection by Local Orthogonal Observables ⋮ Entanglement Generation and Evolution in Open Quantum Systems ⋮ Effect of Entanglement on Geometric Phase for Multi-Qubit States ⋮ CHARACTERIZING QUANTUMNESS VIA ENTANGLEMENT CREATION ⋮ ROBUSTNESS OF DIFFERENT INDICATORS OF QUANTUMNESS IN THE PRESENCE OF DISSIPATION ⋮ A simplified formalism of the algebra of partially transposed permutation operators with applications ⋮ A COMPARATIVE STUDY OF NEGATIVITY AND CONCURRENCE BASED ON SPIN COHERENT STATES ⋮ Dvoretzky's theorem and the complexity of entanglement detection ⋮ TELEPORTING BIPARTITE ENTANGLEMENT USING MAXIMALLY ENTANGLED MIXED CHANNELS ⋮ Multipartite Circulant States with Positive Partial Transposes ⋮ Parametrizing Density Matrices for Composite Quantum Systems ⋮ QUANTUM ENTANGLEMENT IN THE SYSTEM OF ATOMS IN BELL STATE INTERACTING WITH THE TWO-MODE ODD–EVEN ENTANGLED COHERENT FIELD ⋮ DEGREE OF ENTANGLEMENT FOR QUANTUM STATES ⋮ BEST SEPARABLE APPROXIMATION WITH SEMI-DEFINITE PROGRAMMING METHOD ⋮ Linear-Time Algorithm for Quantum 2SAT ⋮ Direct derivation of the Peres–Horodecki criterion for the two-qubit states from the Hill–Wootters formula for the entanglement of formation ⋮ FOUR PHOTON POLARIZATION ENTANGLEMENT TESTS AND APPLICATIONS ⋮ Non-Decomposable Quantum Dynamical Semigroups and Bound Entangled States ⋮ The quantum separability problem is a simultaneous hollowisation matrix analysis problem ⋮ Basic Concepts of Entangled States ⋮ Towards variance-matrix characterization of complementarity relations in a continuous variable system ⋮ Typical entanglement in multiple-qubit systems ⋮ Entanglement transfer from continuous variables to qubits ⋮ Simplifying Monotonicity Conditions for Entanglement Measures ⋮ PAIRWISE ENTANGLEMENT IN THE TETRAHEDRAL LATTICE WITH HEISENBERG INTERACTIONS ⋮ A NOTE ON QUANTUM ENTANGLEMENT AND PPT ⋮ SECRET BROADCASTING OF W-TYPE STATE ⋮ Acceleration-assisted entanglement harvesting and rangefinding ⋮ MIXING AND DECOHERENCE TO NEAREST SEPARABLE STATES ⋮ Entanglement induced by spontaneous emission in spatially extended two-atom systems ⋮ On the geometry of entangled states ⋮ Entanglement simulations of Shor's algorithm ⋮ Reflections upon separability and distillability ⋮ ENTANGLEMENT OF TWO-QUBIT NONORTHOGONAL STATES ⋮ THERMAL ENTANGLEMENT OF A TWO-QUTRIT XXZ SPIN CHAIN WITH DZIALOSHISKI-MORIYA INTERACTION ⋮ Separability of Mixed Quantum States: Linear Contractions and Permutation Criteria ⋮ Direct Measurement of Nonlinear Properties of Bipartite Quantum States ⋮ Quantum Correlations in a Generalized Spin Star System ⋮ Asymptotic Manipulations of Entanglement Can Exhibit Genuine Irreversibility ⋮ Test of Inseparability Criteria for Squeezed Number States of the Radiation Field ⋮ Negative Entropy and Information in Quantum Mechanics ⋮ Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature? ⋮ Finite Precision Measurement Nullifies the Kochen-Specker Theorem ⋮ Bound Entanglement Can Be Activated ⋮ ENTANGLEMENT IN A DIMERIZED ANTIFERROMAGNETIC HEISENBERG CHAIN ⋮ Reflection symmetries for multiqubit density operators ⋮ On Extremal Positive Maps of Three-Dimensional Matrix Algebra ⋮ On a New Family of Extremal Positive Maps of Three-Dimensional Matrix Algebra ⋮ Does inflation squeeze cosmological perturbations? ⋮ Replicated entanglement negativity for disjoint intervals in the Ising conformal field theory ⋮ PROPER AND IMPROPER SEPARABILITY ⋮ Entanglement criterion via general symmetric informationally complete measurement ⋮ Combo separability criteria and lower bound on concurrence ⋮ NON-POSITIVE SEMIGROUP DYNAMICS IN CONTINUOUS VARIABLE MODELS ⋮ ENTANGLEMENT OF FORMATION FOR A CLASS OF SPECIAL QUANTUM STATES ⋮ GROUP THEORETICAL APPROACH TO QUANTUM ENTANGLEMENT AND TOMOGRAPHY WITH WAVELET TRANSFORM IN BANACH SPACES ⋮ APPROXIMATE QUANTUM CLONING IN d DIMENSIONAL SPACE ⋮ Entanglement spectrum in general free fermionic systems ⋮ Entanglement in bipartite quantum systems: Euclidean volume ratios and detectability by Bell inequalities ⋮ Guaranteeing completely positive quantum evolution ⋮ Parameterized bipartite entanglement measure ⋮ Convolution algebra of superoperators and nonseparability witnesses for quantum operations ⋮ Characterizing multipartite entanglement classes via higher-dimensional embeddings ⋮ ENTANGLEMENT OF CONVEX LINEAR COMBINATION AND CONSTRUCTION OF PPT ENTANGLED STATES ⋮ Quantifying parallelism of vectors is the quantification of distributedn-party entanglement ⋮ Construction of genuine multipartite entangled states ⋮ Derivation of the robustness from the concurrence ⋮ Partial traces and the geometry of entanglement: Sufficient conditions for the separability of Gaussian states ⋮ DISTILLABILITY AND POSITIVITY OF PARTIAL TRANSPOSES IN GENERAL QUANTUM FIELD SYSTEMS ⋮ Qubit Entanglement Breaking Channels ⋮ On genuine entanglement for tripartite systems ⋮ ENHANCING STATIONARY ENTANGLEMENT OF TWO QUBITS OR QUTRITS BY COLLECTIVELY INTERACTING WITH A COMMON THERMAL RESERVOIR ⋮ Quantum correlation between a qubit and a relativistic boson in an expanding spacetime ⋮ Dynamics of charge-imbalance-resolved entanglement negativity after a quench in a free-fermion model ⋮ Weak gravitational field effects on Bell tests with massive particles ⋮ An elementary introduction to the geometry of quantum states with pictures ⋮ Unnamed Item ⋮ A contour for the entanglement entropies in harmonic lattices ⋮ Separability criterion for three-qubit states with a four dimensional norm ⋮ Time evolution of quantum correlations in superconducting flux-qubits under classical noises ⋮ Quantum informational properties of the Landau–Streater channel ⋮ Quantum Harmonic Analysis of the Density Matrix ⋮ Entanglement and classical fluctuations at finite-temperature critical points ⋮ Linear amplification and quantum cloning for non-Gaussian continuous variables ⋮ Reference frames for Bell inequality violation in the presence of superselection rules ⋮ Computable entanglement conversion witness that is better than the negativity ⋮ Entangled edge states of corank one with positive partial transposes ⋮ Lower bounds on concurrence and negativity from a trace inequality ⋮ Beyond pure state entanglement for atomic ensembles ⋮ Entanglement quasiprobabilities of squeezed light ⋮ Dynamics of atom–atom correlations in the Fermi problem ⋮ Linear maps of positive partial transpose matrices and singular value inequalities ⋮ The power of noisy fermionic quantum computation ⋮ Directed quantum communication ⋮ Entangled states cannot be classically simulated in generalized Bell experiments with quantum inputs ⋮ Nondeterministic noiseless amplification via non-symplectic phase space transformations ⋮ Measurement-base-independent test for genuine multipartite entanglement ⋮ Entanglement reactivation in separable environments ⋮ Exact solvability, non-integrability, and genuine multipartite entanglement dynamics of the Dicke model ⋮ Computing quantum discord is NP-complete ⋮ On the partial transpose of fermionic Gaussian states ⋮ Entanglement and thermodynamics in general probabilistic theories ⋮ Dimensions, lengths, and separability in finite-dimensional quantum systems ⋮ Partial transpose of random quantum states: Exact formulas and meanders ⋮ Thermal entanglement in a mixed spin Heisenberg XXX chain with DM interaction ⋮ Local quantum uncertainty versus negativity through Gisin states ⋮ TRANSMITTING BIPARTITE AND MULTIPARTITE CORRELATIONS VIA SPIN CHAINS UNDER PHASE DECOHERENCE ⋮ Generation and sudden death of entanglement in qubit–qutrit systems with depolarising noise ⋮ Schwinger effect of Gaussian correlations in constant electric fields ⋮ Continuous Variable Quantum Information: Gaussian States and Beyond ⋮ Unnamed Item ⋮ THERMAL DISCORD AND NEGATIVITY IN A TWO-SPIN-QUTRIT SYSTEM UNDER DIFFERENT MAGNETIC FIELDS ⋮ LOCAL UNITARY EQUIVALENT CLASSES OF SYMMETRIC N-QUBIT MIXED STATES ⋮ Weakly coupled local particle detectors cannot harvest entanglement ⋮ Structure and properties of the algebra of partially transposed permutation operators ⋮ Long-lived entanglement with pulsed-driven initially entangled qubit pair ⋮ FACIAL STRUCTURES FOR VARIOUS NOTIONS OF POSITIVITY AND APPLICATIONS TO THE THEORY OF ENTANGLEMENT ⋮ On the Structure of Entanglement Witnesses and New Class of Positive Indecomposable Maps ⋮ An LMI description for the cone of Lorentz-positive maps ⋮ Positive maps of second-order cones ⋮ The Jamiołkowski Isomorphism and a Simplified Proof for the Correspondence Between Vectors Having Schmidt Number k and k-Positive Maps ⋮ A simple entanglement criterion of two-qubit system ⋮ Combinatorial laplacians and positivity under partial transpose ⋮ Bipartite entanglement of decohered mixed states generated from maximally entangled cluster states ⋮ Quantum circuit model of black hole evaporation ⋮ Entanglement between two scalar fields in an expanding spacetime ⋮ INTRODUCTION ⋮ Measurement-induced qudit geometric discord ⋮ COMPLEMENTARITY OF ENTANGLEMENT AND INTERFERENCE ⋮ Unveiling the thermal entanglement in a mixed-spin XXZ model with Dzyaloshinskii–Moriya interaction under a homogeneous magnetic field ⋮ Pairwise Completely Positive Matrices and Conjugate Local Diagonal Unitary Invariant Quantum States ⋮ ENTANGLEMENT SHARING: FROM QUBITS TO GAUSSIAN STATES ⋮ ASYMPTOTIC ENTANGLEMENT OF TWO INDEPENDENT SYSTEMS IN A COMMON BATH ⋮ A note on the degree conjecture for separability of multipartite quantum states ⋮ Controlling nonclassical properties of optomechanical systems under the Coulomb interaction effect ⋮ The negativity of partial transpose versus the negativity of Wigner function ⋮ ENTANGLED MARKOV CHAINS ARE INDEED ENTANGLED ⋮ AN ECONOMICAL ROUTE TO ONE-WAY QUANTUM COMPUTATION ⋮ Entangled states implemented by B_ngroup operators, including properties based on HS decompositions, separability and concurrence ⋮ Approximating the set of separable states using the positive partial transpose test ⋮ Unique decompositions, faces, and automorphisms of separable states ⋮ A family of norms with applications in quantum information theory ⋮ The automorphism group of separable states in quantum information theory ⋮ Entanglement concentration for two-mode Gaussian states in non-inertial frames ⋮ Negativity spectrum in 1D gapped phases of matter ⋮ Freezing dynamics of genuine entanglement and loss of genuine nonlocality under collective dephasing ⋮ Absolutely separating quantum maps and channels ⋮ A new entanglement monotone based on min-relative entropy ⋮ Measurement-device-independent nonlinear entanglement witnesses ⋮ Approximate orthogonality of permutation operators, with application to quantum information ⋮ Quantum correlations in symmetric multiqubit systems ⋮ Nonlocal correlations of a fully entangled qubit-qutrit Bell scenario ⋮ Monogamy relations for bipartite and tripartite entanglement via intracavity spontaneous parametric down-conversion ⋮ Inertia of two-qutrit entanglement witnesses ⋮ Quantum superpositions of ‘common-cause’ and ‘direct-cause’ causal structures ⋮ Global quantum discord and von Neumann entropy in multipartite two-level atomic systems ⋮ Steerability criteria based on Heisenberg–Weyl observables ⋮ Quantum walks in two dimensions: controlling directional spreading with entangling coins and tunable disordered step operator ⋮ Separability of Hermitian tensors and PSD decompositions ⋮ Ancillary Gaussian modes activate the potential to witness non-Markovianity ⋮ Detecting entanglement of quantum channels ⋮ On the two-dimensional time-dependent anisotropic harmonic oscillator in a magnetic field ⋮ Superposition measures with respect to coarse-grained measurement in the generalized \(n\)-qubit Werner state ⋮ Numerical analysis of bipartite entanglement evolution in simple cubic 1/2-spin system with additional spin 1 dopant ⋮ Charge imbalance resolved Rényi negativity for free compact boson: two disjoint interval case ⋮ Variational quantum algorithms for trace norms and their applications ⋮ Generation of One‐Way Gaussian Steering by Gaussian Channel and Converting One‐Way Gaussian Steering by Beamsplitters ⋮ Separability of evolving W state in a noise environment ⋮ Entanglement generation and protection for two atoms in the presence of two parallel mirrors ⋮ Динамика точно решаемой нелинейной модели квантовой электродинамики резонаторов;Dynamics of an exactly solvable model of cavity quantum electrodynamics ⋮ Entanglement harvesting for different gravitational wave burst profiles with and without memory ⋮ Analytically Computable Symmetric Quantum Correlations ⋮ Attainability and lower semi-continuity of the relative entropy of entanglement and variations on the theme ⋮ Positive maps and entanglement in real Hilbert spaces ⋮ The Effects of an Impurity in an Ising‐XXZ Diamond Chain on Thermal Entanglement, on Quantum Coherence, and on Quantum Teleportation ⋮ Activating the Violation of Steering Inequality for Two‐Qubit X States ⋮ A post-quantum associative memory ⋮ Bosonic entanglement generated by projective measurements in Einstein-Gauss-Bonnet black hole ⋮ Entanglement detection with complex-valued neural networks ⋮ Witnessing Quantum Correlations in a Hybrid Qubit‐Qutrit System Under Intrinsic Decoherence ⋮ Schoenberg correspondence for \(k\)-(super)positive maps on matrix algebras ⋮ Gravitational Redshift Induces Quantum Interference ⋮ Rényi negativities in non-equilibrium open free-Boson chains ⋮ Most Robust and Fragile States with the Same Entanglement Properties ⋮ Completely positive graphs and entanglement of quantum states ⋮ Nonlinear and non-CP gates for Bloch vector amplification ⋮ A Characterization of Entangled Two‐Qubit States via Partial‐Transpose‐Moments ⋮ The Best Approximation of an Objective State With a Given Set of Quantum States ⋮ Not All Entangled States are Useful for Ancilla‐Assisted Quantum Process Tomography ⋮ Operational Detection of Entanglement via Quantum Designs ⋮ Entanglement boosts quantum synchronization between two oscillators in an optomechanical setup ⋮ Non-Markovianity and entanglement detection ⋮ Constructing unextendible product bases from multiqubit ones ⋮ A family of bipartite separability criteria based on Bloch representation of density matrices ⋮ Block-wise correlations in quantum evolutionary system with pure initial state ⋮ Teleportation of masked information ⋮ The use of the output states generated by the broadcasting of entanglement in quantum teleportation ⋮ Renormalization of negativity and quantum phase transition in the spin-1/2 \(XY\) chain ⋮ On quantum optimal transport ⋮ N-partite entanglement measures of GHZ states in a non-inertial frame ⋮ Optimal quantum speed for mixed states ⋮ The entanglement criteria based on equiangular tight frames ⋮ Finite temperature negativity Hamiltonians of the massless Dirac fermion ⋮ Entanglement witnesses of four-qubit tripartite separable quantum states* ⋮ A complex-valued gradient flow for the entangled bipartite low rank approximation ⋮ Exploring quantum properties of bipartite mixed states under coherent and incoherent basis ⋮ Partial transpose moments, principal minors and entanglement detection ⋮ Quantum entanglement \& purity testing: a graph zeta function perspective ⋮ Separable ball around any full-rank multipartite product state ⋮ Distribution of a bipartite entanglement in a mixed spin-\((1/2, 1)\) Heisenberg tetramer ⋮ Shor–Laflamme distributions of graph states and noise robustness of entanglement ⋮ Separability criteria based on a class of symmetric measurements ⋮ Multipartite strongly symmetric states and applications to geometric entanglement and classicality ⋮ Multipartite entanglement detection via correlation minor norm ⋮ Generation and entanglement study of generalized \(N\)-mode single-photon perfect W-states ⋮ Unnamed Item ⋮ CRITERIA OF PARTIAL SEPARABILITY OF MULTIPARTITE QUBIT MIXED STATES ⋮ SUFFICIENT CONDITIONS OF ENTANGLEMENT FOR TRIPARTITE AND HIGHER DIMENSIONAL MULTIPARTITE QUBIT DENSITY MATRIXES ⋮ SEPARABILITY OF PURE N-QUBIT STATES: TWO CHARACTERIZATIONS ⋮ Comment on: ``Construction of bound entangled edge states with special ranks ⋮ EXACT CALCULATION OF ROBUSTNESS OF ENTANGLEMENT VIA CONVEX SEMI-DEFINITE PROGRAMMING ⋮ ENTANGLED MARKOV CHAINS GENERATED BY SYMMETRIC CHANNELS ⋮ OPEN QUANTUM DYNAMICS: COMPLETE POSITIVITY AND ENTANGLEMENT ⋮ Characterization of Combinatorially Independent Permutation Separability Criteria ⋮ Comment on: ``Construction of bound entangled edge states with special ranks ⋮ Structure of irreducibly covariant quantum channels for finite groups ⋮ Separability of \(n\)-particle mixed states: necessary and sufficient conditions in terms of linear maps ⋮ A nonextensive critical phenomenon scenario for quantum entanglement ⋮ Remarks on the Lewenstein-Sanpera decomposition ⋮ Separability of rank two quantum states ⋮ Geometry of Bloch vectors in two-qubit system ⋮ Entanglement Thresholds for Random Induced States ⋮ Towards nonadditive quantum information theory ⋮ Separability and the stella octangula ⋮ Dynamics of genuine multipartite entanglement under local non-Markovian dephasing ⋮ Cumulative quantum work-deficit versus entanglement in the dynamics of an infinite spin chain ⋮ Correlated entanglement distillation and the structure of the set of undistillable states ⋮ Entanglement Hamiltonians in 1D free lattice models after a global quantum quench ⋮ Quantum entanglement in coupled harmonic oscillator systems: from micro to macro ⋮ Symmetry breaking and the geometry of reduced density matrices ⋮ Characterizing the width of entanglement ⋮ Full-separability and bi-separability of qubits using Bell operators, partial transpose, witnesses and explicit (full/bi) separability ⋮ On ergotropic gap of tripartite separable systems ⋮ Time evolution of entanglement negativity across a defect ⋮ Entanglement in orthonormal bases for quantum systems ⋮ Enhanced realignment criterion vs linear entanglement witnesses ⋮ Characterizing quantum states via sector lengths ⋮ Inertias of entanglement witnesses ⋮ Linear Maps as Sufficient Criteria for Entanglement Depth and Compatibility in Many-Body Systems ⋮ The best approximation of a given qubit state with the limited pure-state set ⋮ Entanglement and negativity Hamiltonians for the massless Dirac field on the half line ⋮ The transfer of entanglement negativity at the onset of interactions ⋮ Thermalization and disentanglement with a nonlinear Schrödinger equation ⋮ Strong entanglement criteria for mixed states, based on uncertainty relations ⋮ Computable lower bounds on the entanglement cost of quantum channels

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