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Transformation rules for designing CNOT-based quantum circuits

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3 Author(s)
Iwama, K. ; Sch. of Inf., Kyoto Univ., Japan ; Kambayashi, Yahiko ; Yamashita, S.

This paper gives a simple but nontrivial set of local transformation rules for control-NOT (CNOT)-based combinatorial circuits. It is shown that this rule set is complete, namely, for any two equivalent circuits, S1 and S2, there is a sequence of transformations, each of them in the rule set, which changes S1 to S2. Our motivation is to use this rule set for developing a design theory for quantum circuits whose Boolean logic parts should be implemented by CNOT-based circuits. As a preliminary example, we give a design procedure based on the transformation rules which reduces the cost of CNOT-based circuits.

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Design Automation Conference, 2002. Proceedings. 39th

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