Abstract
Given a bipartite quantum system represented by a Hilbert space H1⊗H2, we give an elementary argument to show that if either dim H1 = ∞ or dim H2 = ∞, then the set of nonseparable density operators on H1⊗H2 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 dim Hi<∝ for i = 1,2, there is a separable neighborhood (perhaps very small for large dimensions) of the maximally mixed state.
Original language | English (US) |
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Article number | 012108 |
Pages (from-to) | 121081-121085 |
Number of pages | 5 |
Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
Volume | 61 |
Issue number | 1 |
State | Published - Jan 2000 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics