A problem of universality in simulation of evolution of quantum system and in
theory of quantum computations is related with the possibility of expression or
approximation of arbitrary unitary transformation by composition of specific
unitary transformations (quantum gates) from given set. In an earlier paper
(quant-ph/0010071) application of Clifford algebras to constructions of
universal sets of binary quantum gates $U_k \in U(2^n)$ was shown. For
application of a similar approach to non-binary quantum gates $U_k \in U(l^n)$
in present work is used rational noncommutative torus ${\Bbb T}^{2n}_{1/l}$. A
set of universal non-binary two-gates is presented here as one example.
Publié le : 2000-12-01
Classification:
Quantum Physics,
High Energy Physics - Theory,
Mathematical Physics
@article{0012009,
author = {Vlasov, Alexander Yu.},
title = {Noncommutative tori and universal sets of non-binary quantum gates},
journal = {arXiv},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/0012009}
}
Vlasov, Alexander Yu. Noncommutative tori and universal sets of non-binary quantum gates. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0012009/