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具有幅度限制的两比特量子系统中量子态制备和纠缠生成的最优控制

Optimal control of quantum state preparation and entanglement creation in two-qubit quantum system with bounded amplitude.

作者信息

Li Xikun

机构信息

School of Physics and Optoelectronic Engineering, Anhui University, Hefei, 230601, China.

Max-Planck-Institut für Physik komplexer Systeme, 01187, Dresden, Germany.

出版信息

Sci Rep. 2023 Sep 7;13(1):14734. doi: 10.1038/s41598-023-41688-z.

DOI:10.1038/s41598-023-41688-z
PMID:37679384
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10484962/
Abstract

We consider the optimal control problem in a two-qubit system with bounded amplitude. Two cases are studied: quantum state preparation and entanglement creation. Cost functions, fidelity and concurrence, are optimized over bang-off controls for various values of the total duration, respectively. For quantum state preparation problem, three critical time points are determined accurately, and optimal controls are estimated. A better estimation of the quantum speed limit is obtained, so is the time-optimal control. For entanglement creation problem, two critical time points are determined, one of them is the minimal time to achieve maximal entanglement (unit concurrence) starting from the product state. In addition, the comparisons between bang-off and chopped random basis (CRAB) are made.

摘要

我们考虑具有有界幅度的双量子比特系统中的最优控制问题。研究了两种情况：量子态制备和纠缠生成。分别针对总持续时间的不同值，通过开-关控制优化成本函数、保真度和并发度。对于量子态制备问题，精确确定了三个关键时间点，并估计了最优控制。获得了对量子速度极限的更好估计，时间最优控制也是如此。对于纠缠生成问题，确定了两个关键时间点，其中一个是从乘积态开始实现最大纠缠（单位并发度）的最短时间。此外，还对开-关控制和截断随机基（CRAB）进行了比较。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/13dd/10484962/96e7396a7177/41598_2023_41688_Fig9_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/13dd/10484962/68f330c8385d/41598_2023_41688_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/13dd/10484962/42568430aec1/41598_2023_41688_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/13dd/10484962/eb370d78068e/41598_2023_41688_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/13dd/10484962/43c5268dc8c9/41598_2023_41688_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/13dd/10484962/96e7396a7177/41598_2023_41688_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/13dd/10484962/1474118eb35b/41598_2023_41688_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/13dd/10484962/66ba61eee111/41598_2023_41688_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/13dd/10484962/456f54f86139/41598_2023_41688_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/13dd/10484962/676382091709/41598_2023_41688_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/13dd/10484962/68f330c8385d/41598_2023_41688_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/13dd/10484962/42568430aec1/41598_2023_41688_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/13dd/10484962/eb370d78068e/41598_2023_41688_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/13dd/10484962/43c5268dc8c9/41598_2023_41688_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/13dd/10484962/96e7396a7177/41598_2023_41688_Fig9_HTML.jpg

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