Quantum Circuits for General Multiqubit Gates

Details Quantum Circuits for General Multiqubit Gates Quantum Circuits for General Multiqubit Gates

2004-04-14

arxiv.org/abs/quant-ph/0404089v3

Phys. Rev. Lett. 93, 130502 (2004)

Physics

Quantum Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.93.130502

We consider a generic elementary gate sequence which is needed to implement a general quantum gate acting on n qubits -- a unitary transformation with 4^n degrees of freedom. For synthesizing the gate sequence, a method based on the so-called cosine-sine matrix decomposition is presented. The result is optimal in the number of elementary one-qubit gates, 4^n, and scales more favorably than the previously reported decompositions requiring 4^n-2^n+1 controlled NOT gates.

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