This is a brief overview of quantum holonomies in the context of quantum computation. We choose an adequate set of quantum logic gates, namely, a phase gate, the Hadamard gate, and a conditional-phase gate and show how they can be implemented by purely geometric means. Such gates may be more resilient to certain types of errors.
@article{arxiv.quant-ph/0202106,
title = {Holonomic quantum logic gates},
author = {Marie Ericsson},
journal= {arXiv preprint arXiv:quant-ph/0202106},
year = {2007}
}
Comments
To appear in "Quantum Theory: Reconsideration of Foundations", ed. by A. Khrennikov; series ``Math. Modelling in Physics, Engineering and Cognitive Sciences'' V\"axj\"o Univ. Press (2002)