2021/07/31 by Artur Czerwinski, Artur Czerwiński · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Hamiltonian (control theory) #Mathematical optimization #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems #Quantum mechanics #Qubit #Spins #Statistical physics #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1103/physreva.104.052431
published in Physical Review A 104(5) (American Physical Society)
arxiv created 2021/11/29 · openalex publication_date 2021/11/29 · arxiv updated 2021/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.