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Resilience-runtime tradeoff relations for quantum algorithms.

Luis Pedro García-Pintos1, Tom O'Leary1,2, Tanmoy Biswas1

  • 1Theoretical Division (T4), Los Alamos National Laboratory, Los Alamos, NM 87545, United States of America.

Reports on Progress in Physics. Physical Society (Great Britain)
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Summary
This summary is machine-generated.

Minimizing quantum algorithm operations can increase errors due to noise sensitivity. Researchers developed a framework to assess algorithm resilience and identify noise-resistant compilations, revealing a trade-off between operations and resilience.

Keywords:
noise resiliencequantum algorithmsquantum compilationquantum computing

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Area of Science:

  • Quantum Computing
  • Algorithm Design
  • Computational Science

Background:

  • Minimizing operations is a standard approach in algorithm design, particularly in quantum computing.
  • Noise in quantum systems rapidly degrades performance, making gate implementation challenging.

Purpose of the Study:

  • To investigate the impact of minimizing operations on quantum algorithm error rates.
  • To develop a framework for characterizing quantum algorithm resilience to noise.
  • To identify optimal algorithm compilations for noise mitigation.

Main Methods:

  • Developed a framework to quantify algorithm resilience against various perturbative noises.
  • Analyzed the relationship between the number of operations and noise sensitivity.
  • Included coherent errors, dephasing, and depolarizing noise in the analysis.

Main Results:

  • Minimizing operations in quantum algorithms can paradoxically increase noise sensitivity and errors.
  • Demonstrated that some compilations are resilient to specific noises but not others.
  • Established a trade-off relationship between operation count and noise resilience.

Conclusions:

  • The intuitive approach of minimizing operations may be counterproductive for quantum algorithm reliability.
  • The developed framework aids in selecting quantum algorithm compilations that better withstand environmental noise.
  • Optimizing quantum algorithms requires balancing operation count with noise resilience.