Statistical-mechanical description of quantum entanglement
arXiv:0704.3357 · doi:10.1088/1751-8113/41/37/375301
Abstract
We present a description of finite dimensional quantum entanglement, based on a study of the space of all convex decompositions of a given density matrix. On this space we construct a system of real polynomial equations describing separable states. We further study this system using statistical mechanical methods. Finally, we apply our techniques to Werner states of two qubits and obtain a sufficient criterion for separability.
final version
References in corpus (15)
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Separability criterion and inseparable mixed states with positive partial transposition
- Universal state inversion and concurrence in arbitrary dimensions
- Bell Inequalities and the Separability Criterion
- Unextendible Product Bases and Bound Entanglement
- Optimization of entanglement witnesses
- Separability of very noisy mixed states and implications for NMR quantum computing
- Concurrence of mixed bipartite quantum states in arbitrary dimensions
- Separability in 2xN composite quantum systems
- Operational criterion and constructive checks for the separability of low rank density matrices
- Composed ensembles of random unitary matrices
- Hilbert's 17th problem and the quantumness of states
- A necessary and sufficient criterion for multipartite separable states
- Fermi-Dirac statistics and the number theory