0410054v1

related topics
{states, state, optimal}
{phase, path, phys}
{state, phys, rev}
{key, protocol, security}
{alice, bob, state}
{group, space, representation}
{information, entropy, channel}
{equation, function, exp}

Asymmetric phase-covariant d-dimensional cloning

L. -P. Lamoureux, N. J. Cerf

abstract: We consider cloning transformations of d-dimensional states of the form e^{i\phi_0}|0> + e^{i\phi_1}|1> +...+ e^{i\phi_{d-1}}|d-1> that are covariant with respect to rotations of the phases \phi_i's. The optimal cloning maps are easily obtained using a well-defined general characterization of state-dependent 1 -> 2 cloning transformations in arbitrary dimensions. Our results apply to symmetric as well as asymmetric cloners, so that the balance between the fidelity of the two clones can be analyzed.

oai_identifier:
oai:arXiv.org:quant-ph/0410054
categories:
quant-ph
comments:
Accepted for publication in Quantum Information and Communication
arxiv_id:
quant-ph/0410054
journal_ref:
Quantum Information and Computation - Vol. 5, No. 1 (2005) 032-039
created:
2004-10-07

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