通过受损传感同时重建量子过程和噪声
Simultaneous reconstruction of quantum process and noise via corrupted sensing
AI总结：
本文提出了一种在存在受损噪声的情况下同时重建量子过程和噪声的框架，通过 Choi-状态和过程-矩阵表示实现高效量子门和噪声的联合重建。
摘要：
量子过程，包括量子门和通道，是各种量子信息任务的核心，因此高效表征这些过程及其底层噪声至关重要。本文提出了一种在存在受损噪声的情况下进行量子过程全息的框架，能够同时重建过程和受损噪声。首先，在 Choi-状态表示中，我们推导出相应的广义限制等距性质，并展示了在稀疏噪声下各种量子门的同时重建。此外，与 Choi-状态方案相比，采用过程-矩阵表示来同时重建稀疏噪声和更广泛的量子门目标。我们的结果表明，即使在受损噪声下，也能实现显著减少的实验配置。
英文摘要：
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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