Computable constraints on entanglement-sharing of multipartite quantum states
arXiv:1004.5148
Abstract
Negativity is regarded as an important measure of entanglement in quantum information theory. In contrast to other measures of entanglement, it is easily computable for bipartite states in arbitrary dimensions. In this paper, based on the negativity and realignment, we provide a set of entanglement-sharing constraints for multipartite states, where the entanglement is not necessarily limited to bipartite and pure states, thus aiding in the quantification of constraints for entanglement-sharing. These may find applications in studying many-body systems.
References in corpus (28)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Separability Criterion for Density Matrices
- Three qubits can be entangled in two inequivalent ways
- Distributed Entanglement
- Entanglement detection
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Monogamy of entanglement and other correlations
- "Squashed Entanglement" - An Additive Entanglement Measure
- Detecting Genuine Multipartite Entanglement with Two Local Measurements
- Further results on the cross norm criterion for separability
- Concurrence of arbitrary dimensional bipartite quantum states
- Monogamy Inequality in terms of Negativity for Three-Qubit States
- Characterization of the Positivity of the Density Matrix in Terms of the Coherence Vector Representation
- Concurrence of mixed bipartite quantum states in arbitrary dimensions
- Entangled three-qubit states without concurrence and three-tangle
- Covariance matrices and the separability problem
- Monogamy inequality for distributed Gaussian entanglement
- Violation of monogamy inequality for higher-dimensional objects
- Lower bounds on concurrence and separability conditions
- Entanglement detection beyond the cross-norm or realignment criterion
- Concurrence and a proper monogamy inequality for arbitrary quantum states
- Lower Bounds of Concurrence for Tripartite Quantum Systems
- Genuine multipartite entanglement of symmmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure
- The SLOCC invariant and the residual entanglement for n-qubits
- Bounds on the multipartite entanglement of superpositions
- R Function Related to Entanglement of Formation
- Quasi multipartite entanglement measure based on quadratic functions