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Rudolph, Oliver

A new class of entanglement measures. (English) Zbl 1018.81006

J. Math. Phys. 42, No. 11, 5306-5314 (2001).
Summary: We introduce new entanglement measures on the set of density operators on tensor product Hilbert spaces. These measures are based on the greatest cross norm on the tensor product of the sets of trace class operators on Hilbert space. We show that they satisfy the basic requirements on entanglement measures discussed in the literature, including convexity, invariance under local unitary operations and non-increase under local quantum operations and classical communication.

Cited in 12 Documents

MSC:

81P68 Quantum computation
81P15 Quantum measurement theory, state operations, state preparations

Keywords:

greatest cross norm; satisfy the basic requirements; local unitary operations; local quantum operations and classical communication
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References:

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[11] DOI: 10.1016/0003-4916(71)90108-4 · Zbl 1229.81137 · doi:10.1016/0003-4916(71)90108-4
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[13] DOI: 10.1016/0024-3795(75)90075-0 · Zbl 0327.15018 · doi:10.1016/0024-3795(75)90075-0
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