Classical Communication Enhanced Quantum State Verification
Wen-Hao Zhang, Xiao Liu, Peng Yin, Xing-Xiang Peng, Gong-Chu Li,, Xiao-Ye Xu, Shang Yu, Zhi-Bo Hou, Yong-Jian Han, Jin-Shi Xu, Zong-Quan Zhou,, Geng Chen, Chuan-Feng Li, Guang-Can Guo

TL;DR
This paper demonstrates that classical communication in adaptive quantum state verification significantly improves efficiency, reducing measurements needed and approaching the globally optimal bound, thus enhancing quantum device reliability assessment.
Contribution
Introducing classical communication into quantum state verification to experimentally improve efficiency and approach the optimal measurement scaling.
Findings
Constant-factor reduced from ~2.5 to 1.5
Achieved 60% of measurements compared to non-adaptive local strategy
Performance approaches the globally optimal bound
Abstract
Quantum state verification provides an efficient approach to characterize the reliability of quantum devices for generating certain target states. The figure of merit of a specific strategy is the estimated infidelity of the tested state to the target state, given a certain number of performed measurements n. Entangled measurements constitute the globally optimal strategy and achieve the scaling that \epsilon is inversely proportional to n. Recent advances show that it is possible to achieve the same scaling simply with non-adaptive local measurements, however, the performance is still worse than the globally optimal bound up to a constant factor. In this work, by introducing classical communication, we experimentally implement an adaptive quantum state verification. The constant-factor is minimized from ~2.5 to 1.5 in this experiment, which means that only 60% measurements…
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Computing Algorithms and Architecture · Quantum Mechanics and Applications
