Bipartite-mixed-states of infinite-dimensional systems are generically nonseparable

Rob Clifton, Hans Halvorson

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 languageEnglish (US)
Pages (from-to)5
Number of pages1
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number1
StatePublished - 2000
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


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