Given a bipartite quantum system represented by a Hilbert space [Formula Presented] we give an elementary argument to show that if either [Formula Presented] or [Formula Presented] then the set of nonseparable density operators on [Formula Presented] is trace-norm dense in the set of all density operators (and the separable density operators nowhere dense). This result complements recent detailed investigations of separability, which show that when [Formula Presented] for [Formula Presented] there is a separable neighborhood (perhaps very small for large dimensions) of the maximally mixed state.
|Original language||English (US)|
|Number of pages||1|
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|State||Published - 2000|
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics