Asymmetric phase-covariant d-dimensional cloning

Details Asymmetric phase-covariant d-dimensional cloning Asymmetric phase-covariant d-dimensional cloning

2004-10-07

arxiv.org/abs/quant-ph/0410054v1

Quantum Information and Computation - Vol. 5, No. 1 (2005) 032-039

Physics

Quantum Physics

Accepted for publication in Quantum Information and Communication

Scientific paper

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.

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