Decomposition of orthogonal matrix and synthesis of two-qubit and three-qubit orthogonal gates

Authors:
Hai-Rui Wei;Yao-Min Di
Affiliations:
School of Physics & Electronic Engineering, Xuzhou Normal University, Xuzhou and Department of Physics, Beijing Normal University, Beijing, People's Repubic of China;School of Physics & Electronic Engineering, Xuzhou Normal University, Xuzhou, People's Repubic of China
Venue:
Quantum Information & Computation
Year:
2012

Citing 2
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Abstract

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.