Bipartite-mixed-states of infinite-dimensional systems are generically nonseparable
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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.
Originalsprog | Engelsk |
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Tidsskrift | Physical Review A - Atomic, Molecular, and Optical Physics |
Vol/bind | 61 |
Udgave nummer | 1 |
Sider (fra-til) | 5 |
Antal sider | 1 |
ISSN | 1050-2947 |
DOI | |
Status | Udgivet - 2000 |
ID: 370731496