Replacing Two Controlled-U's with Two CNOTs
Quantum Physics
2007-05-23 v1
Abstract
We give a simple, closed-form formula, what we call the Deflation Identity, for converting any 2-qubit circuit with exactly two controlled-U's (and some 1-qubit rotations) into an equivalent circuit with just two CNOTs (and some 1-qubit rotations). We also give two interesting applications of the Deflation Identity; one to "opening and closing a breach" in a quantum circuit, the other to the CS decomposition of a 2-qubit operator.
Cite
@article{arxiv.quant-ph/0509111,
title = {Replacing Two Controlled-U's with Two CNOTs},
author = {Robert R. Tucci},
journal= {arXiv preprint arXiv:quant-ph/0509111},
year = {2007}
}
Comments
13 pages (8 files: 1 .tex, 2 .sty, 4 .m, 1 .xxx)