A comparison of entanglement measures
arXiv:quant-ph/9807034 · doi:10.1080/09500349908231260
Abstract
We compare the entanglement of formation with a measure defined as the modulus of the negative eigenvalue of the partial transpose. In particular, we investigate whether both measures give the same ordering of density operators with respect to the amount of entanglement.
6 pages (RevTeX), 4 figures
References in corpus (8)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Experimental quantum teleportation
- Quantifying Entanglement
- Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolski-Rosen Channels
- Entanglement Measures and Purification Procedures
- Statistical Inference, Distinguishability of Quantum States, And Quantum Entanglement
- Multi-Particle Entanglement Purification Protocols
- Composed ensembles of random unitary matrices
Cited by in corpus (200)
- Area laws for the entanglement entropy - a review
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Geometric measure of entanglement and applications to bipartite and multipartite quantum states
- Extremal entanglement and mixedness in continuous variable systems
- Entanglement Properties of the Harmonic Chain
- Maximal entanglement versus entropy for mixed quantum states
- Open-System Dynamics of Entanglement
- Entanglement negativity in extended systems: A field theoretical approach
- On the volume of the set of mixed entangled states II
- Gaussian measures of entanglement versus negativities: the ordering of two-mode Gaussian states
- Entanglement evaluation of non-Gaussian states generated by photon subtraction from squeezed states
- Entanglement and entangling power of the dynamics in light-harvesting complexes
- An entanglement-area law for general bosonic harmonic lattice systems
- Operator space entanglement entropy in transverse Ising chain
- Maximally entangled mixed states in two qubits
- Entanglement negativity and minimal entanglement wedge cross sections in holographic theories
- Finite temperature entanglement negativity in conformal field theory
- Partial time-reversal transformation and entanglement negativity in fermionic systems
- Entanglement negativity after a global quantum quench
- Dynamical creation of entanglement by homodyne-mediated feedback
- Derivation of holographic negativity in AdS/CFT
- Entanglement of Trapped-Ion Clock States
- Imbalance Entanglement: Symmetry Decomposition of Negativity
- The entanglement negativity in random spin chains
- Spreading of correlations in Markovian open quantum systems
- Single-Atom Cavity QED and Opto-Micromechanics
- Entanglement negativity in the critical Ising chain
- Entanglement negativity of fermions: monotonicity, separability criterion, and classification of few-mode states
- On the fidelity of mixed states of two qubits
- Entanglement Negativity at Measurement-Induced Criticality
- Many-body topological invariants for fermionic symmetry-protected topological phases
- Distillation of continuous-variable entanglement with optical means
- Entanglement of mechanical oscillators coupled to a non-equilibrium environment
- Ordering two-qubit states with concurrence and negativity
- Entanglement estimation from Bell inequality violation
- Entanglement evolution and generalised hydrodynamics: interacting integrable systems
- Entanglement negativity after a local quantum quench in conformal field theories
- Detecting Topological Order at Finite Temperature Using Entanglement Negativity
- Ordering States with Entanglement Measures
- Entanglement negativity bounds for fermionic Gaussian states
- Unified view of correlations using the square norm distance
- Two-qubit mixed states more entangled than pure states: Comparison of the relative entropy of entanglement for a given nonlocality
- Dynamics of geometric and entropic quantifiers of correlations in open quantum systems
- Twisted and untwisted negativity spectrum of free fermions
- Entanglement entropy and negativity of disjoint intervals in CFT: Some numerical extrapolations
- Negativity spectrum of one-dimensional conformal field theories
- Quantum information dynamics in multipartite integrable systems
- Entanglement spectrum degeneracy and Cardy formula in 1+1 dimensional conformal field theories
- Measuring Fermionic Entanglement: Entropy, Negativity, and Spin Structure
- Statistical mixtures of states can be more quantum than their superpositions: Comparison of nonclassicality measures for single-qubit states
- Opto- and electro-mechanical entanglement improved by modulation
- Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories
- Violation of Bell inequality and entanglement of decaying Werner states
- Connection among entanglement, mixedness and nonlocality in a dynamical context
- Enhanced entanglement negativity in boundary driven monitored fermionic chains
- Balanced Partial Entanglement and the Entanglement Wedge Cross Section
- Towards entanglement negativity of two disjoint intervals for a one dimensional free fermion
- Singularity in Entanglement Negativity Across Finite Temperature Phase Transitions
- Finite-temperature entanglement negativity of free fermions
- Mixed-state long-range order and criticality from measurement and feedback
- Analysis of Entanglement Measures and LOCC Maximized Quantum Fisher Information of General Two Qubit Systems
- Entanglement universality of two-qubit X-states
- Force-Gradient Sensing and Entanglement via Feedback Cooling of Interacting Nanoparticles
- A Noisy Approach to Intrinsically Mixed-State Topological Order
- Spin structures and entanglement of two disjoint intervals in conformal field theories
- Entanglement negativity spectrum of random mixed states: A diagrammatic approach
- Concurrence vs. purity: Influence of local channels on Bell states of two qubits
- Entanglement negativity in a two dimensional harmonic lattice: Area law and corner contributions
- Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality
- Quantum vs. classical information: operator negativity as a probe of scrambling
- Separability transitions in topological states induced by local decoherence
- Entangled multiplets and unusual spreading of quantum correlations in a continuously monitored tight-binding chain
- Relativity of pure states entanglement
- Entanglement, purity and energy: Two qubits vs Two modes
- Remarks on entanglement measures and non-local state distinguishability
- Increasing relative nonclassicality quantified by standard entanglement potentials by dissipation and unbalanced beam splitting
- Multi-particle entanglement manipulation under positive partial transpose preserving operations
- Manipulating the quantum information of the radial modes of trapped ions: Linear phononics, entanglement generation, quantum state transmission and non-locality tests
- , the entanglement wedge cross section, and the breakdown of the split property
- Entanglement swapping and swapped entanglement
- Unbounded entanglement production via a dissipative impurity
- Balanced Partial Entanglement and Mixed State Correlations
- Ordering states with coherence measures
- Quantum teleportation in vacuum using only Unruh-DeWitt detectors
- Negativity spectrum in 1D gapped phases of matter
- Topological reflected entropy in Chern-Simons theories
- Mixed state entanglement measures as probe for confinement
- Negativity Spectrum in the Random Singlet Phase
- The quasi-particle picture and its breakdown after local quenches: mutual information, negativity, and reflected entropy
- Structure of Quantum Entanglement at a Finite Temperature Critical Point
- Pearson Correlation Coefficient as a measure for Certifying and Quantifying High Dimensional Entanglement
- Spatio-Temporal Steering for Testing Nonclassical Correlations in Quantum Networks
- Multipartitioning topological phases by vertex states and quantum entanglement
- The negativity contour: a quasi-local measure of entanglement for mixed states
- Comparison of the relative entropy of entanglement and negativity
- Entanglement negativity in free-fermion systems: An overlap matrix approach
- Role of thermal field in entanglement harvesting between two accelerated Unruh-DeWitt detectors
- Negativity Spectra in Random Tensor Networks and Holography
- Entanglement negativity between separated regions in quantum critical systems
- Partial transpose as a direct link between concurrence and negativity
- Quantumness of spin-1 states
- On two-qubit states ordering with quantum discords
- Complementary relations of entanglement, coherence, steering and Bell nonlocality inequality violation in three-qubit states
- Entanglement transitions as a probe of quasiparticles and quantum thermalization
- Entanglement harvesting from conformal vacuums between two Unruh-DeWitt detectors moving along null paths
- Entanglement Simulations of Shor's Algorithm
- Entanglement and classical fluctuations at finite-temperature critical points
- The Early Universe as an Open Quantum System: Complexity and Decoherence
- Maximally entangled mixed states for qubit-qutrit systems
- Logarithmic Negativity in Quantum Lifshitz Theories
- Entanglement-induced state ordering under local operations
- Covariant entanglement wedge cross-section, balanced partial entanglement and gravitational anomalies
- Entanglement sudden birth of two trapped ions interacting with a time-dependent laser field
- How much quantum noise of amplifiers is detrimental to entanglement
- Characterizing Long-Range Entanglement in a Mixed State Through an Emergent Order on the Entangling Surface
- Strongly entangled light from planar microcavities
- Unification of quantum resources in tripartite systems
- Decoherence, Entanglement Negativity and Circuit Complexity for Open Quantum System
- Entanglement of nanoelectromechanical oscillators by Cooper-pair tunneling
- Bound entanglement in thermalized states and black hole radiation
- Reflected Entropy in AdS/WCFT
- Holographic confining/deconfining gauge theories and entanglement measures with a magnetic field
- Entanglement negativity in a fermionic chain with dissipative defects: Exact results
- Generation of continuous variable squeezing and entanglement of trapped ions in time-varying potentials
- Entanglement estimation in tensor network states via sampling
- Phase boundaries in alternating field quantum XY model with Dzyaloshinskii-Moriya interaction: Sustainable entanglement in dynamics
- Entanglement in tripartitions of topological orders: a diagrammatic approach
- Entanglement harvesting for different gravitational wave burst profiles with and without memory
- Disentangling quantum matter with measurements
- Entanglement negativity in a nonequilibrium steady state
- Predominance of entanglement of formation over quantum discord under quantum channels
- Mixed-state entanglement and information recovery in thermalized states and evaporating black holes
- Quantifying genuine tripartite entanglement by reshaping the state
- A dissipative scheme to approach the boundary of two-qubit entangled mixed states
- Nonlocal Activation of Bound Entanglement via Local Quantum Zeno Dynamics
- Deterministic Quantum Dense Coding Networks
- Entanglement Microscopy: Tomography and Entanglement Measures via Quantum Monte Carlo
- Pseudorandom density matrices
- Quantum information and triangular optical lattices
- Input-output Gaussian channels: theory and application
- Entropic uncertainty and quantum non-classicality of Unruh-Dewitt detectors in relativity
- A description of entanglement in terms of quantum phase
- Revisiting comparison between entanglement measures for two-qubit pure states
- Selective entanglement breaking
- Entanglement Rényi Negativity of Interacting Fermions from Quantum Monte Carlo Simulations
- Symmetry Resolved Entanglement of Excited States in Quantum Field Theory III: Bosonic and Fermionic Negativity
- Rényi entanglement entropies for the compactified massless boson with open boundary conditions
- Multi wavefunction overlap and multi entropy for topological ground states in (2+1) dimensions
- Disentangling transitions in topological order induced by boundary decoherence
- Maximum entangled states and quantum Teleportation via Single Cooper pair Box
- Shared information in classical mean-field models
- Zero and Finite Temperature Quantum Simulations Powered by Quantum Magic
- On the experimental feasibility of continuous-variable optical entanglement distillation
- Holographic Entanglement negativity in flat space generalized minimal massive gravity
- Teleportation-induced entanglement of two nanomechanical oscillators coupled to a topological superconductor
- The intrinsic relations of quantum resources in multiparticle systems
- An analog of topological entanglement entropy for mixed states
- Entanglement and spectra in topological many-body localized phases
- Cycle Index Polynomials and Generalized Quantum Separability Tests
- Generation of long-living entanglement using cold trapped ions with pair cat states
- Maximally discordant separable two qubit states
- Entanglement Negativity and Replica Symmetry Breaking in General Holographic States
- Measuring out quasi-local integrals of motion from entanglement
- Correlation function and mutual information
- Entanglement and nonlocality of one- and two-mode combination squeezed state
- Interplay between nonclassicality and symmetry in an effective two level system with open system effects
- Noisy induced entanglement transition in one-dimensional random quantum circuits
- The effect of channel decoherence on entangled coherent states: A theoretical analysis
- Simple permutation-based measure of quantum correlations and maximally-3-tangled states
- Computable entanglement conversion witness that is better than the negativity
- Symmetry protected entanglement in random mixed states
- Bounds on mixed state entanglement
- Hot entanglement? -- Parametrically coupled quantum oscillators in two heat baths: instability, squeezing and driving
- A measure of quantum correlations that lies approximately between entanglement and discord
- Entanglement of quantum oscillators coupled to different heat baths
- Entanglement detection from interference fringes in atom-photon systems
- Teleporting bipartite entanglement using maximally entangled mixed channels
- Tripartite entanglement dynamics in a system of strongly driven qubits
- Curvature from multipartite entanglement in quantum gravity states
- Witnessing random unitary and projective quantum channels: Complementarity between separable and maximally entangled states
- Entanglement Spectrum in General Free Fermionic Systems
- Quantum entanglement in phase space
- Quantum Features of the Thermal Two-Qubit Quantum Rabi Model in Ultra- and Deep-Strong Regimes
- Multipartite Entanglement in the Random Ising Chain
- Entanglement entropy of higher rank topological phases
- Parameterized coherence measure
- Initial-state randomness as a universal source of decoherence
- Designing spin channel geometries for entanglement distribution
- Entanglement in general two-mode continuous-variable states: local approach and mapping to a two-qubit system
- Entanglement in the Quantum Spherical Model -- a Review
- Growth of Rényi Entropies in Interacting Integrable Models and the Breakdown of the Quasiparticle Picture
- Shape dependence of mutual information in the OPE limit: linear responses
- Multiparty Entanglement Microscopy of Quantum Ising models in 1d, 2d and 3d
- Local entanglement of multidimensional continuous-variable systems
- Geometric measures of quantum nonlocality: characterization, quantification, and comparison by distances and operations
- Superradiant Phase Transition and Statistical Properties in the Dicke-Stark Model
- A Sharp Geometric Measure of Entanglement
- A study of two-qubit density matrices with fermionic purifications
- Holographic duality between bulk topological order and boundary mixed-state order
- Odd Entanglement Entropy and Logarithmic Negativity for Thermofield Double States