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

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Bipartite-mixed-states of infinite-dimensional systems are generically nonseparable. / Clifton, Rob; Halvorson, Hans.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 61, No. 1, 2000, p. 5.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Clifton, R & Halvorson, H 2000, 'Bipartite-mixed-states of infinite-dimensional systems are generically nonseparable', Physical Review A - Atomic, Molecular, and Optical Physics, vol. 61, no. 1, pp. 5. https://doi.org/10.1103/PhysRevA.61.012108

APA

Clifton, R., & Halvorson, H. (2000). Bipartite-mixed-states of infinite-dimensional systems are generically nonseparable. Physical Review A - Atomic, Molecular, and Optical Physics, 61(1), 5. https://doi.org/10.1103/PhysRevA.61.012108

Vancouver

Clifton R, Halvorson H. Bipartite-mixed-states of infinite-dimensional systems are generically nonseparable. Physical Review A - Atomic, Molecular, and Optical Physics. 2000;61(1):5. https://doi.org/10.1103/PhysRevA.61.012108

Author

Clifton, Rob ; Halvorson, Hans. / Bipartite-mixed-states of infinite-dimensional systems are generically nonseparable. In: Physical Review A - Atomic, Molecular, and Optical Physics. 2000 ; Vol. 61, No. 1. pp. 5.

Bibtex

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title = "Bipartite-mixed-states of infinite-dimensional systems are generically nonseparable",
abstract = "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.",
author = "Rob Clifton and Hans Halvorson",
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AU - Halvorson, Hans

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N2 - 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.

AB - 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.

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DO - 10.1103/PhysRevA.61.012108

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