Asymmetric phase-covariant d-dimensional cloning
Quantum Physics
2014-11-18 v1
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.
Cite
@article{arxiv.quant-ph/0410054,
title = {Asymmetric phase-covariant d-dimensional cloning},
author = {L. -P. Lamoureux and N. J. Cerf},
journal= {arXiv preprint arXiv:quant-ph/0410054},
year = {2014}
}
Comments
Accepted for publication in Quantum Information and Communication