Control optimization for parametric Hamiltonians by pulse reconstruction

Journal Article · 01 September 2023 · European Physical Journal. A, Hadrons and Nuclei (Online)

DOI: https://doi.org/10.1140/epja/s10050-023-01108-2 · OSTI ID:2204922

Luchi, Piero  ^[1]; Turro, Francesco  ^[2]; Quaglioni, Sofia  ^[3]; Wu, Xian ^[3]; Amitrano, Valentina  ^[1]; Wendt, Kyle  ^[3]; DuBois, Jonathan L.  ^[3]; Pederiva, Francesco  ^[1]

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1. Univ. of Trento (Italy); Istituto Nazionale di Fisica Nucleare, Trento (Italy). Trento Institute for Fundamental Physics and Applications (INFN-TIFPA)
2. Univ. of Trento (Italy); Univ. of Washington, Seattle, WA (United States)
3. Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Optimal control techniques provide a means to tailor the control pulses required to generate customized quantum gates, which helps to improve the resilience of quantum simulations to gate errors and device noise. However, the significant amount of (classical) computation required to generate customized gates can quickly undermine the effectiveness of this approach, especially when pulse optimization needs to be iterated. We propose a method to reduce the computational time required to generate the control pulse for a Hamiltonian that is parametrically dependent on a time-varying quantity. We use simple interpolation schemes to accurately reconstruct the control pulses from a set of pulses obtained in advance for a discrete set of predetermined parameter values. We obtain a reconstruction with very high fidelity and a significant reduction in computational effort. We report the results of the application of the proposed method to device-level quantum simulations of the unitary (real) time evolution of two interacting neutrons based on superconducting qubits.

• Research Organization: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
• Grant/Contract Number: AC52-07NA27344
• OSTI ID: 2204922
• Report Number(s): LLNL--JRNL-819311; 1029377
• Journal Information: European Physical Journal. A, Hadrons and Nuclei (Online), Journal Name: European Physical Journal. A, Hadrons and Nuclei (Online) Journal Issue: 9 Vol. 59; ISSN 1434-601X
• Publisher: Springer NatureCopyright Statement
• Country of Publication: United States
• Language: English