Generators and Roots of Quantum Logic Gates
Quantum Physics
2007-05-23 v1
Abstract
This is an exposition of some basic mathematical aspects of quantum logic gates. At first we established some general formulas for the case of arbitrary quantum gate A with unique restriction A^2=I. The explicit form of the generators and roots of matrix A have been found . Then we apply general results to the particular cases of one-qubit and multi-qubit quantum gates. Some interesting properties of square roots of basic Pauli and Hadamard gates are demonstrated.
Cite
@article{arxiv.quant-ph/0511250,
title = {Generators and Roots of Quantum Logic Gates},
author = {R. Muradian and Diego Frias},
journal= {arXiv preprint arXiv:quant-ph/0511250},
year = {2007}
}
Comments
10 pages no figures