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arXiv · 2101.05430

Efficient quantum circuit synthesis for SAT-oracle with limited ancillary qubit

Shuai Yang·Wei Zi·Bujiao Wu·Cheng Guo·Jialin Zhang·Xiaoming Sun
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Abstract

How to implement quantum oracle with limited resources raises concerns these days. We design two ancilla-adjustable and efficient algorithms to synthesize SAT-oracle, the key component in solving SAT problems. The previous work takes 2m-1 ancillary qubits and O(m) elementary gates to synthesize an m clauses oracle. The first algorithm reduces the number of ancillary qubits to 2\sqrt{m}, with at most an eightfold increase in circuit size. The number of ancillary qubits can be further reduced to 3 with a quadratic increase in circuit size. The second algorithm aims to reduce the circuit depth. By leveraging of the second algorithm, the circuit depth can be reduced to O(log m) with m ancillary qubits.

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Shuai Yang, Wei Zi, Bujiao Wu, Cheng Guo, Jialin Zhang, Xiaoming Sun. 2021-01-14. Efficient quantum circuit synthesis for SAT-oracle with limited ancillary qubit. https://arxiv.org/abs/2101.05430

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