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Super controlled gates and controlled gates in two-qubit gate simulations

Ming-Yong Ye·Yong-Sheng Zhang·Guang-Can Guo
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Abstract

In two-qubit gate simulations an entangling gate is used several times together with single qubit gates to simulate another two-qubit gate. We show how a two-qubit gate's simulation power is related to the simulation power of its mirror gate. And we show that an arbitrary two-qubit gate can be simulated by three applications of a super controlled gate together with single qubit gates. We also give the gates set that can be simulated by n applications of a controlled gate in a constructive way. In addition we give some gates which can be used four times to simulate an arbitrary two-qubit gate.

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Ming-Yong Ye, Yong-Sheng Zhang, Guang-Can Guo. 2004-07-15. Super controlled gates and controlled gates in two-qubit gate simulations. https://arxiv.org/abs/quant-ph/0407108

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