Optimal Universal and State-Dependent Quantum Cloning

Details Optimal Universal and State-Dependent Quantum Cloning Optimal Universal and State-Dependent Quantum Cloning

1997-05-22

arxiv.org/abs/quant-ph/9705038v3

PRA 57 (1998) 2368

Physics

Quantum Physics

30 pages (RevTeX), 2 figures (epsf), further results and further authors added, to appear in Physical Review A

Scientific paper

10.1103/PhysRevA.57.2368

We establish the best possible approximation to a perfect quantum cloning machine which produces two clones out of a single input. We analyze both universal and state-dependent cloners. The maximal fidelity of cloning is shown to be 5/6 for universal cloners. It can be achieved either by a special unitary evolution or by a novel teleportation scheme. We construct the optimal state-dependent cloners operating on any prescribed two non-orthogonal states, discuss their fidelities and the use of auxiliary physical resources in the process of cloning. The optimal universal cloners permit us to derive a new upper bound on the quantum capacity of the depolarizing quantum channel.

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