Optimal quantum circuit synthesis from Controlled-U gates

Details Optimal quantum circuit synthesis from Controlled-U gates Optimal quantum circuit synthesis from Controlled-U gates

2003-08-29

arxiv.org/abs/quant-ph/0308167v1

A revised version is published as Phys. Rev. A 69, 042309 (2003)

Physics

Quantum Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevA.69.042309

From a geometric approach, we derive the minimum number of applications needed for an arbitrary Controlled-Unitary gate to construct a universal quantum circuit. A new analytic construction procedure is presented and shown to be either optimal or close to optimal. This result can be extended to improve the efficiency of universal quantum circuit construction from any entangling gate. Specifically, for both the Controlled-NOT and Double-CNOT gates, we develop simple analytic ways to construct universal quantum circuits with three applications, which is the least possible.

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