Compatibility conditions from multipartite entanglement measures
arXiv:quant-ph/0611224 · doi:10.1103/PhysRevA.75.052324
Abstract
We consider an arbitrary d_{1}\otimes d_{2}\otimes ... \otimes d_{N} composite quantum system and find necessary conditions for general m-party subsystem states to be the reduced states of a common N-party state. These conditions will lead to various monogamy inequalities for bipartite quantum entanglement and partial disorder in multipartite states. Our results are tightly connected with the measures of multipartite entanglement.
5 pages
References in corpus (37)
- Scaling of Entanglement close to a Quantum Phase Transitions
- Universal state inversion and concurrence in arbitrary dimensions
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Global entanglement in multiparticle systems
- Exact and Asymptotic Measures of Multipartite Pure State Entanglement
- Universal Quantum Estimator
- Direct estimations of linear and non-linear functionals of a quantum state
- Maximal entanglement versus entropy for mixed quantum states
- A subsystem-independent generalization of entanglement
- A potential multipartide entanglement measure
- Classification of multipartite entangled states by multidimensional determinants
- Direct detection of quantum entanglement
- Concurrence of mixed multi-partite quantum states
- Constructing N-qubit entanglement monotones from anti-linear operators
- Entangled three-qubit states without concurrence and three-tangle
- Computing Local Invariants of Qubit Systems
- Direct measurement of non-linear properties of bipartite quantum states
- Non-local properties of multi-particle density matrices
- Family of Concurrence Monotones and its Applications
- The Spectra of Density Operators and the Kronecker Coefficients of the Symmetric Group
- One-qubit reduced states of a pure many-qubit state: polygon inequalities
- Measuring Multipartite Concurrence with a Single Factorizable Observable
- Entanglement monotones and maximally entangled states in multipartite qubit systems
- Inductive classification of multipartite entanglement under SLOCC
- On Nonzero Kronecker Coefficients and their Consequences for Spectra
- Measuring Polynomial Invariants of Multi-Party Quantum States
- Parts of Quantum States
- Probability density function characterization of multipartite entanglement
- Quantum state transformations and the Schubert calculus
- Entanglement of Assistance is not a bipartite measure nor a tripartite monotone
- Mixed State Entanglement of Assistance and the Generalized Concurrence
- Mean Field Approximations and Multipartite Thermal Correlations
- Evaluable multipartite entanglement measures: are multipartite concurrences entanglement monotones?
- Multipartite reduction criteria for separability
- Information-Theoretic Measure of Genuine Multi-Qubit Entanglement
- Compatibility of subsystem states
- Compatibility Relations between the Reduced and Global Density Matrixes
Cited by in corpus (7)
- Observable estimation of entanglement for arbitrary finite-dimensional mixed states
- Only n-Qubit Greenberger-Horne-Zeilinger States are Undetermined by their Reduced Density Matrices
- Quantum Entanglement: Separability, Measure, Fidelity of Teleportation and Distillation
- Distribution of entanglement and correlations in all finite dimensions
- Exponentially many entanglement and correlation constraints for multipartite quantum states
- Excessive distribution of quantum entanglement
- Bounds for multipartite concurrence