1203.0722 (Hai-Rui Wei et al.)

Decomposition of orthogonal matrix and synthesis of two-qubit and
three-qubit orthogonal gates    [PDF]

Hai-Rui Wei, Yao-Min Di

The decomposition of matrices associated to two-qubit and three-qubit orthogonal gates is studied, and based on the decomposition the synthesis of these gates is investigated. The optimal synthesis of general two-qubit orthogonal gate is obtained. For two-qubit unimodular orthogonal gate, it requires at most 2 CNOT gates and 6 one-qubit Ry gates. For the general three-qubit unimodular orthogonal gate, it can be synthesized by 16 CNOT gates and 36 one-qubit Ry and Rz gates in the worst case.

View original: http://arxiv.org/abs/1203.0722