Strategies and Networks for State-Dependent Quantum Cloning

Details Strategies and Networks for State-Dependent Quantum Cloning Strategies and Networks for State-Dependent Quantum Cloning

1998-12-15

arxiv.org/abs/quant-ph/9812035v1

Physics

Quantum Physics

12 pages, 6 eps figures, submitted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.60.136

State-dependent cloning machines that have so far been considered either deterministically copy a set of states approximately, or probablistically copy them exactly. In considering the case of two equiprobable pure states, we derive the maximum global fidelity of $N$ approximate clones given $M$ initial exact copies, where $N>M$. We also consider strategies which interpolate between approximate and exact cloning. A tight inequality is obtained which expresses a trade-off between the global fidelity and success probability. This inequality is found to tend, in the limit as $N{\to}{\infty}$, to a known inequality which expresses the trade-off between error and inconclusive result probabilities for state-discrimination measurements. Quantum-computational networks are also constructed for the kinds of cloning machine we describe. For this purpose, we introduce two gates: the distinguishability transfer and state separation gates. Their key properties are described

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