Ordering two-qubit states with concurrence and negativity
arXiv:quant-ph/0404053 · doi:10.1103/PhysRevA.70.032326
Abstract
We study the ordering of two-qubit states with respect to the degree of bipartite entanglement using the Wootters concurrence -- a measure of the entanglement of formation, and the negativity -- a measure of the entanglement cost under the positive-partial-transpose-preserving operations. For two-qubit pure states, the negativity is the same as the concurrence. However, we demonstrate analytically on simple examples of various mixtures of Bell and separable states that the entanglement measures can impose different orderings on the states. We show which states, in general, give the maximally different predictions, (i) when one of the states has the concurrence greater but the negativity smaller than those for the other state, and (ii) when the states are entangled to the same degree according to one of the measures, but differently according to the other.
4 pages, 3 figures, slightly revised (including new title and comments on general structure of family of states exhibiting the discussed properties), to appear in Phys. Rev. A
References in corpus (3)
Cited by in corpus (53)
- Open-System Dynamics of Entanglement
- A classification of entanglement in three-qubit systems
- Entanglement estimation from Bell inequality violation
- Universal observable detecting all two-qubit entanglement and determinant based separability tests
- Unified view of correlations using the square norm distance
- A comparative study of relative entropy of entanglement, concurrence and negativity
- 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
- Statistical mixtures of states can be more quantum than their superpositions: Comparison of nonclassicality measures for single-qubit states
- Analysis of Entanglement Measures and LOCC Maximized Quantum Fisher Information of General Two Qubit Systems
- Concurrence vs. purity: Influence of local channels on Bell states of two qubits
- Exactly solvable time-dependent models of two interacting two-level systems
- Increasing relative nonclassicality quantified by standard entanglement potentials by dissipation and unbalanced beam splitting
- Entanglement swapping and swapped entanglement
- Ordering states with coherence measures
- Pearson Correlation Coefficient as a measure for Certifying and Quantifying High Dimensional Entanglement
- Spatio-Temporal Steering for Testing Nonclassical Correlations in Quantum Networks
- Quantifying entanglement of a two-qubit system via measurable and invariant moments of its partially transposed density matrix
- Entanglement dynamics of qubits in a common environment
- Comparison of the relative entropy of entanglement and negativity
- Partial transpose as a direct link between concurrence and negativity
- Complementary relations of entanglement, coherence, steering and Bell nonlocality inequality violation in three-qubit states
- On two-qubit states ordering with quantum discords
- Entanglement-induced state ordering under local operations
- Resonance-dominant optomechanical entanglement in open quantum systems
- Effects of DM and KSEA interactions on entanglement, Fisher and Wigner-Yanase information correlations of two XYZ-Heisenberg-qubit states under a magnetic field
- Direct method for measuring and witnessing quantum entanglement of arbitrary two-qubit states through Hong-Ou-Mandel interference
- Experimental hierarchy of two-qubit quantum correlations without state tomography
- Quantum teleportation using non-orthogonal entangled channels
- Predominance of entanglement of formation over quantum discord under quantum channels
- A dissipative scheme to approach the boundary of two-qubit entangled mixed states
- Inverse-designed dielectric cloaks for entanglement generation
- Selective entanglement breaking
- The intrinsic relations of quantum resources in multiparticle systems
- A Proposal for Quantum Fisher Information Optimization and its Relation with Entanglement Measures
- Maximally discordant separable two qubit states
- The effect of channel decoherence on entangled coherent states: A theoretical analysis
- Single-ion anisotropy effects on the critical behaviors of quantum entanglement and correlation in the spin-1 Heisenberg chain
- Simple permutation-based measure of quantum correlations and maximally-3-tangled states
- Experimental relative entanglement potentials of single-photon states
- Complementary Resource Relation of Concurrence and Roughness for atwo Qubits State
- Computable entanglement conversion witness that is better than the negativity
- Teleporting bipartite entanglement using maximally entangled mixed channels
- Hidden anisotropy controls spin-photon entanglement in a charged quantum dot
- Binegativity of two qubits under noise
- Entanglement duality in spin-spin interactions
- Parameterized coherence measure
- Birefringent spin-photon interface generates polarization entanglement
- Robust entanglement measure for mixed quantum states
- Mixed State Parametrization and Two-qubit Entanglement
- Universal trade-off relation between coherence and intrinsic concurrence for two-qubit states
- Bipartite entanglement of localized separated systems
- The binegativity of two qubits