Bipartite-mixed-states of infinite-dimensional systems are generically nonseparable
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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.
Originalsprog | Engelsk |
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Artikelnummer | 012108 |
Tidsskrift | Physical Review A - Atomic, Molecular, and Optical Physics |
Vol/bind | 61 |
Udgave nummer | 1 |
Sider (fra-til) | 12108-1-12108-5 |
ISSN | 1050-2947 |
DOI | |
Status | Udgivet - jan. 2000 |
Eksternt udgivet | Ja |
ID: 336465277