Minimal Universal Two-qubit Quantum Circuits

Details Minimal Universal Two-qubit Quantum Circuits Minimal Universal Two-qubit Quantum Circuits

2003-08-06

arxiv.org/abs/quant-ph/0308033v3

V. V. Shende, I. L. Markov, and S. S. Bullock, ``Minimal Universal Two-qubit Controlled-NOT-based Circuits,'' APS Physical Rev

Physics

Quantum Physics

8 pages, 2 tables and 4 figures. v3 adds a discussion of asymetry between Rx, Ry and Rz gates and describes a subtle circuit d

Scientific paper

We give quantum circuits that simulate an arbitrary two-qubit unitary operator up to global phase. For several quantum gate libraries we prove that gate counts are optimal in worst and average cases. Our lower and upper bounds compare favorably to previously published results. Temporary storage is not used because it tends to be expensive in physical implementations. For each gate library, best gate counts can be achieved by a single universal circuit. To compute gate parameters in universal circuits, we only use closed-form algebraic expressions, and in particular do not rely on matrix exponentials. Our algorithm has been coded in C++.

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