Quantum dynamical semigroups and non-decomposable positive maps
arXiv:quant-ph/0401146 · doi:10.1016/j.physleta.2004.04.046
Abstract
We study dynamical semigroups of positive, but not completely positive maps on finite-dimensional bipartite systems and analyze properties of their generators in relation to non-decomposability and bound-entanglement. An example of non-decomposable semigroup leading to a 4x4-dimensional bound-entangled density matrix is explicitly obtained.
16 pages, LaTeX
References in corpus (6)
- Progressive Decoherence and Total Environmental Disentanglement
- Entangled states with positive partial transpose arising from indecomposable positive linear maps
- About non-positive evolutions in open system dynamics
- Planck's scale dissipative effects in atom interferometry
- Neutral kaons in random media
- Complete positivity and dissipative factorized dynamics: some comments
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- Positivity and complete positivity of differentiable quantum processes
- Extended Reduction Criterion and Lattice States
- Open Quantum Dynamics: Memory Effects and Superactivation of Backflow of Information
- Long-lived mesoscopic entanglement between two damped infinite harmonic chains
- Generation of Mapping Cones from Small Sets
- Constructing positive maps from block matrices