Abstract:Quantum circuit model is the most popular paradigm for implementing complex quantum computation. Based on Cartan decomposition, we show that 2(N − 1) generalized controlled-X (GCX) gates, 6 single-qubit rotations about the y-and z-axes, and N + 5 single-partite y-and z-rotationtypes which are defined in this paper are sufficient to simulate a controlled-unitary gate U cu(2⊗N ) with A controlling on C 2 ⊗ C N . In the scenario of the unitary gate U cd(M ⊗N ) with M ≥ 3 that is locally equivalent to a diagonal u… Show more
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