HPC-Accelerated Simulation and Calibration for Silicon Quantum Dots

Abstract: Quantum computers (QCs) have the potential to solve critical problems significantly faster than today's most advanced supercomputers. One major challenge in realizing this technology is designing robust electrostatic pulses to realize unitaries on qubits. Current practice when calibrating unitaries involves recursive experimentation to find the highest-fidelity pulses. To accelerate this process for experimentalists, we implement Qalibrate, a fast, JAX-enabled simulator that generates pulses given target unitaries. Specifically, we generate a propagator that models the time evolution of three-electron spin qubits and integrate our gradient-based optimizer to generate the pulses. The simulation involves solving the Lindblad master equation, which we parallelize by employing an approximation of the time evolution called the Magnus expansion. Qalibrate shows up to a 34x speedup compared to an existing ODE simulator, making progress towards generating robust pulses for n-qubit systems.