This paper compares four quantum frequency estimation methods—Brute Force, Time-Evolution, Gradient Descent, and Quantum Phase Estimation (QPE)—implemented entirely from fundamental quantum principles on a simulated 4-qubit spin system experiencing an unknown electromagnetic frequency (ω). Emphasis is placed on software engineering considerations such as computational complexity, algorithmic stability, runtime efficiency, and noise sensitivity. Results demonstrate QPE’s superior accuracy, albeit with higher quantum resource demands, whereas Gradient Descent and Time-Evolution methods provide practical near-term solutions with careful parameter management. Consistent synthetic noise was applied across methods, providing a baseline fir future studies on physical quantum hardware.

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Quantum Motion Sensing in an Electromagnetic Field: A Software Engineering Study of Four Techniques

  • Hamed Nazari,
  • Atif Farid Mohammad

摘要

This paper compares four quantum frequency estimation methods—Brute Force, Time-Evolution, Gradient Descent, and Quantum Phase Estimation (QPE)—implemented entirely from fundamental quantum principles on a simulated 4-qubit spin system experiencing an unknown electromagnetic frequency (ω). Emphasis is placed on software engineering considerations such as computational complexity, algorithmic stability, runtime efficiency, and noise sensitivity. Results demonstrate QPE’s superior accuracy, albeit with higher quantum resource demands, whereas Gradient Descent and Time-Evolution methods provide practical near-term solutions with careful parameter management. Consistent synthetic noise was applied across methods, providing a baseline fir future studies on physical quantum hardware.