Separability of very noisy mixed states and implications for NMR quantum computing

Details Separability of very noisy mixed states and implications for NMR quantum computing Separability of very noisy mixed states and implications for NMR quantum computing

1998-11-06

arxiv.org/abs/quant-ph/9811018v3

Phys.Rev.Lett. 83 (1999) 1054-1057

Physics

Quantum Physics

4 pages, extensively revised, references added

Scientific paper

10.1103/PhysRevLett.83.1054

We give a constructive proof that all mixed states of N qubits in a sufficiently small neighborhood of the maximally mixed state are separable. The construction provides an explicit representation of any such state as a mixture of product states. We give upper and lower bounds on the size of the neighborhood, which show that its extent decreases exponentially with the number of qubits. We also discuss the implications of the bounds for NMR quantum computing.

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