The Constant Geometric Speed Schedule for Adiabatic State Preparation

Name: The Constant Geometric Speed Schedule for Adiabatic State Preparation
Uploaded: 2026-10-02T20:52:18.768304+00:00
Duration: 339 s
Description: This paper introduces a Constant Geometric Speed (CGS) schedule to improve adiabatic state preparation. It achieves an optimal quadratic speedup over standard linear schedules by traversing the path at a uniform geometric rate. This method reduces evolution time scaling from O(∆−2) to O(∆−1), making the process faster and more robust for complex quantum systems.

This paper introduces a Constant Geometric Speed (CGS) schedule to improve adiabatic state preparation. It achieves an optimal quadratic speedup over standard linear schedules by traversing the path at a uniform geometric rate. This method reduces evolution time scaling from O(∆−2) to O(∆−1), making the process faster and more robust for complex quantum systems.

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