BINARY OPTIMAL CONTROL OF SINGLE-FLUX-QUANTUM PULSE SEQUENCES

被引：2

作者：

Vogt, Ryan H. ^{[1
]}

Petersson, N. Anders ^{[1
]}

机构：

[1] LLNL, Ctr Appl Sci Comp, Livermore, CA 94550 USA

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2022年 / 60卷 / 06期

关键词：

ODE-constrained optimization; integer optimal control; quantum mechanics; nonlinear programming; OPTIMIZATION; ALGORITHMS; CONVEXIFICATION;

D O I：

10.1137/21M142808X

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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 Schrodinger'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 O (p log(p)), where p 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 approximate to 25 trust-region iterations.

引用

页码：3217 / 3236

页数：20

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