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Towards optimization of quantum circuits

Michal Sedlak·Martin Plesch
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Abstract

Any unitary operation in quantum information processing can be implemented via a sequence of simpler steps - quantum gates. However, actual implementation of a quantum gate is always imperfect and takes a finite time. Therefore, seeking for a short sequence of gates - efficient quantum circuit for a given operation, is an important task. We contribute to this issue by proposing optimization of the well-known universal procedure proposed by Barenco et.al [1]. We also created a computer program which realizes both Barenco's decomposition and the proposed optimization. Furthermore, our optimization can be applied to any quantum circuit containing generalized Toffoli gates, including basic quantum gate circuits.

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Michal Sedlak, Martin Plesch. 2006-11-08. Towards optimization of quantum circuits. https://doi.org/10.2478/s11534-008-0039-8

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