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A separability criterion for density operators

Oliver Rudolph

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We give a necessary and sufficient condition for a mixed quantum mechanical state to be separable. The criterion is formulated as a boundedness condition in terms of the greatest cross norm on the tensor product of trace class operators.


PACS

03.65.-w Quantum mechanics

02.30.Tb Operator theory

MSC

81R15 Operator algebra methods (See also 46Lxx, 81T05)

47B32 Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (See also 46E22)

47A80 Tensor products of operators (See also 46M05)

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 21 (2 June 2000)

Received 10 February 2000



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