Constructing separable states in infinite-dimensional systems by operator matrices
arXiv:1612.01092 · doi:10.1007/s10773-017-3346-2
Abstract
We introduce a class of states so-called semi-SSPPT (semi super strong positive partial transposition) states in infinite-dimensional bipartite systems by the Cholesky decomposition in terms of operator matrices and show that every semi-SSPPT state is separable. This gives a method of constructing separable states and generalizes the corresponding results in [Phys. Rev. A \textbf{77}, 022113(2008), J. Phys. A: Math. Theor. 45 505303 (2012)]. This criterion is specially convenient to be applied when one of the subsystem is a qubit system.
12 pages
References in corpus (8)
- Entanglement detection
- A characterization of positive linear maps and criteria of entanglement for quantum states
- Constructing entanglement witnesses for infinite-dimensional systems
- Quantum states with strong positive partial transpose
- When different entanglement witnesses detect entangled states simultaneously
- A characterization of optimal entanglement witnesses
- Complete Entanglement Witness for Quantum Teleportation
- Discrete Fourier-based Correlations for Entanglement Detection