Extended Reduction Criterion and Lattice States
arXiv:0803.1778 · doi:10.1063/1.2734867
Abstract
We study a particular class of states of a bipartite system consisting of two 4-level parties. By means of an adapted extended reduction criterion we associate their entanglement properties to the geometric patterns of a planar lattice consisting of 16 points.
17 pages
References in corpus (12)
- Discrete phase space based on finite fields
- Optimal entanglement criterion for mixed quantum states
- Operational criterion and constructive checks for the separability of low rank density matrices
- Discrete Wigner functions and quantum computational speedup
- Generalized reduction criterion for separability of quantum states
- Wigner Functions and Separability for Finite Systems
- A new class of states with positive partial transposition
- A class of 2^N x 2^N bound entangled states revealed by non-decomposable maps
- Quantum dynamical semigroups and non-decomposable positive maps
- Mutually Unbiased Bases, Generalized Spin Matrices and Separability
- On the structure of entanglement witnesses and new class of positive indecomposable maps
- Constructions of indecomposable positive maps based on a new criterion for indecomposability