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  • Open Access

Engineering precise and robust effective Hamiltonians

Jiahui Chen1,2,* and David Cory1,3

  • *Contact author: j562chen@uwaterloo.ca
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Phys. Rev. A 113, 042409 – Published 2 April, 2026

DOI: https://doi.org/10.1103/j65l-f8lf

Abstract

Engineering effective Hamiltonians is essential for advancing quantum technologies, including quantum simulation, sensing, and computing. This paper presents a general framework for effective Hamiltonian engineering, enabling robust, precise, and efficient quantum control strategies. To achieve efficiency, we focus on creating target zeroth-order effective Hamiltonians while minimizing higher-order contributions and enhancing robustness against systematic errors. The control design identifies the minimal subspace of the toggling-frame Hamiltonian and the full set of achievable, zeroth-order, effective Hamiltonians. The framework also enables robust state transfer and characterization of achievable density matrices, and extends to stochastic fluctuations via a cumulant expansion. Examples are included to illustrate the process flow and resultant precision and robustness.

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Phys. Rev. A 113, 042409– Published 2 April, 2026
  • Received 23 June 2025
  • Accepted 5 March 2026
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