Quantum Circuits for General Multiqubit Gates
Quantum Physics
2009-11-10 v3
Abstract
We consider a generic elementary gate sequence which is needed to implement a general quantum gate acting on n qubits -- a unitary transformation with 4^n degrees of freedom. For synthesizing the gate sequence, a method based on the so-called cosine-sine matrix decomposition is presented. The result is optimal in the number of elementary one-qubit gates, 4^n, and scales more favorably than the previously reported decompositions requiring 4^n-2^n+1 controlled NOT gates.
Cite
@article{arxiv.quant-ph/0404089,
title = {Quantum Circuits for General Multiqubit Gates},
author = {Mikko Mottonen and Juha J. Vartiainen and Ville Bergholm and Martti M. Salomaa},
journal= {arXiv preprint arXiv:quant-ph/0404089},
year = {2009}
}
Comments
4 pages, 3 figures