Reducing runtime and error in VQE using deeper and noisier quantum circuits

• URL: http://arxiv.org/abs/2110.10664v1
• Date: Wed, 20 Oct 2021 17:11:29 GMT
• Title: Reducing runtime and error in VQE using deeper and noisier quantum circuits
• Authors: Amara Katabarwa, Alex Kunitsa, Borja Peropadre and Peter Johnson
• Abstract summary: A core of many quantum algorithms including VQE, can be improved in terms of precision and accuracy by using a technique we call Robust Amplitude Estimation. By using deeper, and therefore more error-prone, quantum circuits, we realize more accurate quantum computations in less time. This technique may be used to speed up quantum computations into the regime of early fault-tolerant quantum computation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: The rapid development of noisy intermediate-scale quantum (NISQ) devices has raised the question of whether or not these devices will find commercial use. Unfortunately, a major shortcoming of many proposed NISQ-amenable algorithms, such as the variational quantum eigensolver (VQE), is coming into view: the algorithms require too many independent quantum measurements to solve practical problems in a reasonable amount of time. This motivates the central question of our work: how might we speed up such algorithms in spite of the impact of error on NISQ computations? We demonstrate on quantum hardware that the estimation of expectation values, a core subroutine of many quantum algorithms including VQE, can be improved in terms of precision and accuracy by using a technique we call Robust Amplitude Estimation. Consequently, this method reduces the runtime to achieve the same mean-squared error compared to the standard prepare-and-measure estimation method. The surprising result is that by using deeper, and therefore more error-prone, quantum circuits, we realize more accurate quantum computations in less time. As the quality of quantum devices improves, this method will provide a proportional reduction in estimation runtime. This technique may be used to speed up quantum computations into the regime of early fault-tolerant quantum computation and aid in the realization of quantum advantage.

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