In this article, we introduce a framework for Hamiltonian tomography of multiqubit systems with random noise. We adopt the quantum quench protocol to reconstruct a many-body Hamiltonian by local measurements that are distorted by random unitary operators and time uncertainty. In particular, we consider a transverse-field Ising Hamiltonian describing interactions of two spins $1/2$ and three-qubit Hamiltonians of a heteronuclear system within the radio-frequency field. For a sample of random Hamiltonians, we report the fidelity of reconstruction versus the amount of noise quantified by two parameters. Furthermore, we discuss the correlation between the accuracy of Hamiltonian tomography and the number of pairs of quantum states involved in the framework. The results provide valuable insight into the robustness of the protocol against random noise.

中文翻译：

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具有随机噪声的量子猝灭协议的哈密顿断层扫描

在本文中，我们介绍了具有随机噪声的多量子位系统的哈密顿断层扫描框架。我们采用量子猝灭协议，通过随机酉算子和时间不确定性扭曲的局部测量来重建多体哈密顿量。特别地，我们考虑了描述两个自旋相互作用的横向场 Ising Hamiltonian$1/2$和射频场内异核系统的三量子比特哈密顿量。对于随机哈密顿量的样本，我们报告了重建保真度与由两个参数量化的噪声量的关系。此外，我们讨论了哈密顿断层扫描的准确性与框架中涉及的量子态对数之间的相关性。结果提供了宝贵的见解，以了解协议对随机噪声的稳健性。