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Trapped Ion Quantum Computing

Quantum Control Design by Lyapunov Trajectory Tracking and Optimal Control

DOAJ
Authors: Hongli Yang, Guohui Yu, Ivan Ganchev Ivanov

Year

2024

Paper ID

4556

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

Abstract

In this paper, we investigate a Lyapunov trajectory tracking design method that incorporates a Schrödinger equation with a dipole subterm and polarizability. Our findings suggest that the proposed control law can overcome the limitations of certain existing control laws that do not converge. By integrating a quadratic performance index, we introduce an optimal control law, which we subsequently analyze for stability and optimality. We also simulate the spin-1/2 particle system to illustrate our results. These findings are further validated through numerical illustrations involving a 3D, 5D system, and a spin-1/2 particle system.

Why This Paper Matters

  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • In this paper, we investigate a Lyapunov trajectory tracking design method that incorporates a Schrödinger equation with a dipole subterm and polarizability.

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References & Citation Signals

[1] DOI https://doi.org/10.3390/e26110978 [2] Publisher https://www.mdpi.com/1099-4300/26/11/978

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