A bipartite separable ball and its applications
arXiv:1509.00086 · doi:10.1088/1751-8113/48/9/095302
Abstract
In this paper, based on a matrix norm, we first present a ball of separable unnormalized states around the identity matrix for the bipartite quantum system, which is larger than the separable ball in Frobenius norm. Then the proposed ball is used to get not only simple sufficient conditions for the separability of pseudopure states and the states with strong positive partial transposes, but also a separable ball centered at the identity matrix for the multipartite quantum system.
References in corpus (8)
- Entanglement detection
- Matrix product operators and states: NP-hardness and undecidability
- On circulant states with positive partial transpose
- Quantum states with strong positive partial transpose
- Determining eigenvalues of a density matrix with minimal information in a single experimental setting
- Entangled states close to the maximally mixed state
- Separability of qubit-qudit quantum states with strong positive partial transposes
- On separable decompositions of quantum states with strong positive partial transposes