Robust Estimation of Nonlinear Properties of Quantum Processes

• URL: http://arxiv.org/abs/2312.09643v1
• Date: Fri, 15 Dec 2023 09:33:11 GMT
• Title: Robust Estimation of Nonlinear Properties of Quantum Processes
• Authors: Yuqing Wang, Guoding Liu, Zhenhuan Liu, Yifan Tang, Xiongfeng Ma, and Hao Dai
• Abstract summary: We introduce two protocols for estimation of nonlinear quantum process properties. The first protocol offers a robust and sound method to estimate the out-of-time-ordered correlation. The second protocol estimates unitarity, effectively characterizing the incoherence of quantum channels.
• Score: 10.24856054281464
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Accurate and robust estimation of quantum process properties is crucial for quantum information processing and quantum many-body physics. Combining classical shadow tomography and randomized benchmarking, Helsen et al. introduced a method to estimate the linear properties of quantum processes. In this work, we focus on the estimation protocols of nonlinear process properties that are robust to state preparation and measurement errors. We introduce two protocols, both utilizing random gate sequences but employing different post-processing methods, which make them suitable for measuring different nonlinear properties. The first protocol offers a robust and sound method to estimate the out-of-time-ordered correlation, as demonstrated numerically in an Ising model. The second protocol estimates unitarity, effectively characterizing the incoherence of quantum channels. We expect the two protocols to be useful tools for exploring quantum many-body physics and characterizing quantum processes.

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