A class of 2^N x 2^N bound entangled states revealed by non-decomposable maps
arXiv:quant-ph/0411098 · doi:10.1103/PhysRevA.73.012345
Abstract
We use some general results regarding positive maps to exhibit examples of non-decomposable maps and 2^N x 2^N, N >= 2, bound entangled states, e.g. non distillable bipartite states of N + N qubits.
19 pages, 1 figure
References in corpus (7)
- Secure key from bound entanglement
- Entangled states with positive partial transpose arising from indecomposable positive linear maps
- Non-full rank bound entangled states satisfying the range criterion
- Bell-Correlated Activable Bound Entanglement in Multiqubit Systems
- About non-positive evolutions in open system dynamics
- Quantum dynamical semigroups and non-decomposable positive maps
- Complete positivity and dissipative factorized dynamics: some comments
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