Optimal probabilistic cloning and purification of quantum states

Details Optimal probabilistic cloning and purification of quantum states Optimal probabilistic cloning and purification of quantum states

2004-03-23

arxiv.org/abs/quant-ph/0403165v1

Phys. Rev. A 70, 032308 (2004).

Physics

Quantum Physics

9 pages, 2 figures

Scientific paper

10.1103/PhysRevA.70.032308

We investigate the probabilistic cloning and purification of quantum states. The performance of these probabilistic operations is quantified by the average fidelity between the ideal and actual output states. We provide a simple formula for the maximal achievable average fidelity and we explictly show how to construct a probabilistic operation that achieves this fidelity. We illustrate our method on several examples such as the phase covariant cloning of qubits, cloning of coherent states, and purification of qubits transmitted via depolarizing channel and amplitude damping channel. Our examples reveal that the probabilistic cloner may yield higher fidelity than the best deterministic cloner even when the states that should be cloned are linearly dependent and are drawn from a continuous set.

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