A Two-Stage Solution to Quantum Process Tomography: Error Analysis and Optimal Design

被引：0

作者：

Xiao, Shuixin ^{[1
,2
,3
]}

Wang, Yuanlong ^{[4
]}

Zhang, Jun ^{[2
]}

Dong, Daoyi ^{[5
,6
]}

Mooney, Gary J. ^{[6
]}

Petersen, Ian R. ^{[3
]}

Yonezawa, Hidehiro ^{[1
,7
,8
]}

机构：

[1] University of New South Wales, School of Engineering and Technology, Canberra,ACT,2600, Australia

[2] University of Michigan-Shanghai Jiao Tong University Joint Institute, Shanghai Jiao Tong University, Shanghai,200240, China

[3] The Australian National University, School of Engineering, Canberra,ACT,2601, Australia

[4] Chinese Academy of Sciences, Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Beijing,100190, China

[5] The Australian National University, CIICADA Laboratory, School of Engineering, Canberra,ACT,2601, Australia

[6] The University of Melbourne, School of Physics, Parkville,VIC,3010, Australia

[7] RIKEN Center for Quantum Computing, Saitama,351-0198, Japan

[8] Centre for Quantum Computation and Communication Technology, Australian Research Council, Canberra,ACT,2600, Australia

来源：

IEEE Transactions on Information Theory | 2025年 / 71卷 / 03期

基金：

中国国家自然科学基金; 澳大利亚研究理事会;

关键词：

Digital arithmetic - Maximum principle - Quantum computers - Quantum efficiency - Quantum electronics - Quantum optics - Tensors;

D O I：

10.1109/TIT.2024.3522005

中图分类号：

学科分类号：

摘要：

Quantum process tomography is a critical task for characterizing the dynamics of quantum systems and achieving precise quantum control. In this paper, we propose a two-stage solution for both trace-preserving and non-trace-preserving quantum process tomography. Utilizing a tensor structure, our algorithm exhibits a computational complexity of O(MLd2) where d is the dimension of the quantum system and M, L(M≥ d2, L≥ d2) represent the numbers of different input states and measurement operators, respectively. We establish an analytical error upper bound and then design the optimal input states and the optimal measurement operators, which are both based on minimizing the error upper bound and maximizing the robustness characterized by the condition number. Numerical examples and testing on IBM quantum devices are presented to demonstrate the performance and efficiency of our algorithm. © 1963-2012 IEEE.

引用

页码：1803 / 1823

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