Peephole Optimization for Quantum Approximate Synthesis

• URL: http://arxiv.org/abs/2409.06020v1
• Date: Mon, 9 Sep 2024 19:22:42 GMT
• Title: Peephole Optimization for Quantum Approximate Synthesis
• Abstract summary: Peephole optimization of quantum circuits provides a method of leveraging standard circuit approaches into scalable quantum circuit optimization. We propose a series of improvements to the final phase of this architecture, which include the addition of error awareness and a better method of approximating the correctness of the result.
• Score: 0.4604003661048266
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Peephole optimization of quantum circuits provides a method of leveraging standard circuit synthesis approaches into scalable quantum circuit optimization. One application of this technique partitions an entire circuit into a series of peepholes and produces multiple approximations of each partitioned subcircuit. A single approximation of each subcircuit is then selected to form optimized result circuits. We propose a series of improvements to the final phase of this architecture, which include the addition of error awareness and a better method of approximating the correctness of the result. We evaluated these proposed improvements on a set of benchmark circuits using the IBMQ FakeWashington simulator. The results demonstrate that our best-performing method provides an average reduction in Total Variational Distance (TVD) and Jensen-Shannon Divergence (JSD) of 18.2% and 15.8%, respectively, compared with the Qiskit optimizer. This also constitutes an improvement in TVD of 11.4% and JSD of 9.0% over existing solutions.

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