Optimal universal quantum cloning and state estimation

Details Optimal universal quantum cloning and state estimation Optimal universal quantum cloning and state estimation

1997-12-09

arxiv.org/abs/quant-ph/9712019v3

Phys.Rev.Lett.81:2598-2601,1998

Physics

Quantum Physics

4 pages (RevTeX)

Scientific paper

10.1103/PhysRevLett.81.2598

We derive a tight upper bound for the fidelity of a universal N to M qubit cloner, valid for any M \geq N, where the output of the cloner is required to be supported on the symmetric subspace. Our proof is based on the concatenation of two cloners and the connection between quantum cloning and quantum state estimation. We generalise the operation of a quantum cloner to mixed and/or entangled input qubits described by a density matrix supported on the symmetric subspace of the constituent qubits. We also extend the validity of optimal state estimation methods to inputs of this kind.

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