The quantum separability problem is a simultaneous hollowisation matrix analysis problem
arXiv:1806.11071 · doi:10.1088/1751-8121/aacb93
Abstract
We use the generalized concurrence approach to investigate the general multipartite separability problem. By extending the preconcurrence matrix formalism to arbitrary multipartite systems, we show that the separability problem can be formulated equivalently as a pure matrix analysis problem that consists in determining whether a given set of symmetric matrices is simultaneously unitarily congruent to hollow matrices, i.e., to matrices whose main diagonal is only composed of zeroes.
arXiv comment6 pages
References in corpus (13)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Entanglement detection
- Free-Space distribution of entanglement and single photons over 144 km
- Role of entanglement in two-photon imaging
- Variational Characterisations of Separability and Entanglement of Formation
- Operational criterion and constructive checks for the separability of low rank density matrices
- Partial separability and entanglement criteria for multiqubit quantum states
- Concurrence in arbitrary dimensions
- Global Entanglement for Multipartite Quantum States
- Simultaneous unitary equivalences