Characterization and verification of trotterized digital quantum simulation via hamiltonian and liouvillian learning

L Pastori, T Olsacher, C Kokail, P Zoller - PRX Quantum, 2022 - APS
The goal of digital quantum simulation is to approximate the dynamics of a given target
Hamiltonian via a sequence of quantum gates, a procedure known as Trotterization. The …

Local-measurement-based quantum state tomography via neural networks

T Xin, S Lu, N Cao, G Anikeeva, D Lu, J Li… - npj Quantum …, 2019 - nature.com
Quantum state tomography is a daunting challenge of experimental quantum computing,
even in moderate system size. One way to boost the efficiency of state tomography is via …

Robust and efficient Hamiltonian learning

W Yu, J Sun, Z Han, X Yuan - Quantum, 2023 - quantum-journal.org
With the fast development of quantum technology, the sizes of both digital and analog
quantum systems increase drastically. In order to have better control and understanding of …

Unified quantum state tomography and Hamiltonian learning: A language-translation-like approach for quantum systems

Z An, J Wu, M Yang, DL Zhou, B Zeng - Physical Review Applied, 2024 - APS
As quantum technology rapidly advances, the need for efficient scalable methods to
characterize quantum systems intensifies. Quantum state tomography and Hamiltonian …

Supervised learning in Hamiltonian reconstruction from local measurements on eigenstates

C Cao, SY Hou, N Cao, B Zeng - Journal of Physics: Condensed …, 2020 - iopscience.iop.org
Reconstructing a system Hamiltonian through measurements on its eigenstates is an
important inverse problem in quantum physics. Recently, it was shown that generic many …

High-accuracy Hamiltonian learning via delocalized quantum state evolutions

D Rattacaso, G Passarelli, P Lucignano - Quantum, 2023 - quantum-journal.org
Learning the unknown Hamiltonian governing the dynamics of a quantum many-body
system is a challenging task. In this manuscript, we propose a possible strategy based on …

Recovery of a generic local Hamiltonian from a steady state

J Zhou, DL Zhou - Physical Review A, 2022 - APS
With the development of the quantum many-body simulator, Hamiltonian tomography has
become an increasingly important technique for verification of quantum devices. Here we …

[HTML][HTML] Recovery of a generic local Hamiltonian from a degenerate steady state

J Zhou, DL Zhou - Physics Letters A, 2024 - Elsevier
Hamiltonian Learning (HL) is essential for validating quantum systems in quantum
computing. Not all Hamiltonians can be uniquely recovered from a steady state. HL success …

Efficiency of the hidden fermion determinant states Ansatz in the light of different complexity measures

BJ Wurst, DM Kennes, JB Profe - arXiv preprint arXiv:2411.04527, 2024 - arxiv.org
Finding reliable approximations to the quantum many-body problem is one of the central
challenges of modern physics. Elemental to this endeavor is the development of advanced …

Determining the non-Hermitian parent Hamiltonian from a single eigenstate

XD Xie, ZY Xue, DB Zhang - Physical Review B, 2024 - APS
A quantum state for being an eigenstate of some local Hamiltonian should be constrained by
zero energy variance and consequently, the constraint is rather strong that a single …