Extremal equation for optimal completely-positive maps

Details Extremal equation for optimal completely-positive maps Extremal equation for optimal completely-positive maps

2001-05-24

arxiv.org/abs/quant-ph/0105124v2

Phys. Rev. A 64, 062310 (2001).

Physics

Quantum Physics

REVTeX, 7 pages, 2 figures, important reference added

Scientific paper

10.1103/PhysRevA.64.062310

We derive an extremal equation for optimal completely-positive map which most closely approximates a given transformation between pure quantum states. Moreover, we also obtain an upper bound on the maximal mean fidelity that can be attained by the optimal approximate transformation. The developed formalism is applied to universal-NOT gate, quantum cloning machines, quantum entanglers, and qubit theta-shifter.

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