Abstract
We introduce a binary, relaxed gradient, trust-region method for optimizing pulse sequences for single flux quanta control of a quantum computer. The pulse sequences are optimized with the goal of realizing unitary gate transformations. Each pulse has a fixed amplitude and duration. We model this process as a binary optimal control problem, constrained by Schrödinger’s equation, where the binary variables indicate whether each pulse is on or off. We introduce a first-order trust-region method, which takes advantage of a relaxed gradient to determine an optimal pulse sequence that minimizes the gate infidelity, while also suppressing leakage to higher energy levels. The proposed algorithm has a computational complexity of , where is the number of pulses in the sequence. We present numerical results for the H and X gates, where the optimized pulse sequences give gate fidelities better than 99.9%, in trust-region iterations.
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