Abstract
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) |
|---|---|
| Pages (from-to) | 5 |
| Number of pages | 1 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 61 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2000 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics