9712019v3

related topics
{states, state, optimal}
{phase, path, phys}
{qubit, qubits, gate}
{measurement, state, measurements}
{information, entropy, channel}
{state, states, entangled}
{state, phys, rev}

Optimal universal quantum cloning and state estimation

D. Bruss, A. Ekert, C. Macchiavello

abstract: 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.

oai_identifier:
oai:arXiv.org:quant-ph/9712019
categories:
quant-ph
comments:
4 pages (RevTeX)
doi:
10.1103/PhysRevLett.81.2598
arxiv_id:
quant-ph/9712019
journal_ref:
Phys.Rev.Lett.81:2598-2601,1998
created:
1997-12-09
updated:
1998-10-08

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