Bipartite-mixed-states of infinite-dimensional systems are generically nonseparable
Research output: Contribution to journal › Journal article › Research › peer-review
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 |
---|---|
Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
Volume | 61 |
Issue number | 1 |
Pages (from-to) | 5 |
Number of pages | 1 |
ISSN | 1050-2947 |
DOIs | |
Publication status | Published - 2000 |
ID: 370731496