Control optimization for parametric hamiltonians by pulse reconstruction

TL;DR

This paper introduces a pulse reconstruction method using interpolation to efficiently generate control pulses for parametric Hamiltonians, significantly reducing computation time while maintaining high fidelity in quantum simulations.

Contribution

It presents a novel interpolation-based approach to reconstruct control pulses for parametric Hamiltonians, enhancing efficiency in quantum gate optimization.

Findings

High-fidelity pulse reconstruction achieved

Significant reduction in computational effort

Effective application to quantum simulations of interacting neutrons

Abstract

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.