Simultaneous reconstruction of quantum process and noise via corrupted sensing

• URL: http://arxiv.org/abs/2602.05604v1
• Date: Thu, 05 Feb 2026 12:38:56 GMT
• Title: Simultaneous reconstruction of quantum process and noise via corrupted sensing
• Authors: Mengru Ma, Jiangwei Shang,
• Abstract summary: We propose a framework for quantum process tomography in the presence of corrupted noise.<n>Within the Choi-state representation, we derive the corresponding generalized restricted isometry property.<n>In comparison with the Choi-state scheme, the process-matrix representation is employed to simultaneously reconstruct sparse noise.
• Score: 1.9599782792718452
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum processes, including quantum gates and channels, are integral to various quantum information tasks, making the efficient characterization of these processes and their underlying noise critically important. Here, we propose a framework for quantum process tomography in the presence of corrupted noise that is able to simultaneously reconstruct the process and corrupted noise. Firstly, within the Choi-state representation, we derive the corresponding generalized restricted isometry property and demonstrate the simultaneous reconstruction of various quantum gates under sparse noise. Moreover, in comparison with the Choi-state scheme, the process-matrix representation is employed to simultaneously reconstruct sparse noise and a broader range of target quantum gates. Our results demonstrate that significant reduction in experimental configurations is achievable even under corrupted noise.

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