Cloning a Qutrit
Abstract
We investigate several classes of state-dependent quantum cloners for three-level systems. These cloners optimally duplicate some of the four maximally-conjugate bases with an equal fidelity, thereby extending the phase-covariant qubit cloner to qutrits. Three distinct classes of qutrit cloners can be distinguished, depending on two, three, or four maximally-conjugate bases are cloned as well (the latter case simply corresponds to the universal qutrit cloner). These results apply to symmetric as well as asymmetric cloners, so that the balance between the fidelity of the two clones can also be analyzed.
Keywords
Cite
@article{arxiv.quant-ph/0110092,
title = {Cloning a Qutrit},
author = {Nicolas J. Cerf and Thomas Durt and Nicolas Gisin},
journal= {arXiv preprint arXiv:quant-ph/0110092},
year = {2009}
}
Comments
14 pages LaTex. To appear in the Journal of Modern Optics for the special issue on "Quantum Information: Theory, Experiment and Perspectives". Proceedings of the ESF Conference, Gdansk, July 10-18, 2001