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

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

2012-03-04

arxiv.org/abs/1203.0722v1

Quantum Information and Computation, Vol. 12, No. 3&4 (2012) 0262-0270

Physics

Quantum Physics

7 pages,5 figures

Scientific paper

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.

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