Exchange Gate on the Qudit Space and Fock Space
Quantum Physics
2009-11-07 v3 Condensed Matter
Mathematical Physics
math.MP
Abstract
We construct the exchange gate with small elementary gates on the space of qudits, which consist of three controlled shift gates and three "reverse" gates. This is a natural extension of the qubit case. We also consider a similar subject on the Fock space, but in this case we meet with some different situation. However we can construct the exchange gate by making use of generalized coherent operator based on the Lie algebra su(2) which is a well--known method in Quantum Optics. We moreover make a brief comment on "imperfect clone".
Keywords
Cite
@article{arxiv.quant-ph/0207002,
title = {Exchange Gate on the Qudit Space and Fock Space},
author = {Kazuyuki Fujii},
journal= {arXiv preprint arXiv:quant-ph/0207002},
year = {2009}
}
Comments
Latex File, 12 pages. I could solve the problems in Sec. 3 in the preceding manuscript, so many corrections including the title were made