Conserved charges in the quantum simulation of integrable spin chains

K Maruyoshi, T Okuda, JW Pedersen… - Journal of Physics A …, 2023 - iopscience.iop.org
When simulating the time evolution of quantum many-body systems on a digital quantum
computer, one faces the challenges of quantum noise and of the Trotter error due to time …

Efficient factored gradient descent algorithm for quantum state tomography

Y Wang, L Liu, S Cheng, L Li, J Chen - Physical Review Research, 2024 - APS
Reconstructing the state of quantum many-body systems is of fundamental importance in
quantum information tasks, but extremely challenging due to the curse of dimensionality. In …

Simple, reliable, and noise-resilient continuous-variable quantum state tomography with convex optimization

I Strandberg - Physical Review Applied, 2022 - APS
Precise reconstruction of unknown quantum states from measurement data, a process
commonly called quantum state tomography, is a crucial component in the development of …

A modified least squares-based tomography with density matrix perturbation and linear entropy consideration along with performance analysis

S Mondal, AK Dutta - New Journal of Physics, 2023 - iopscience.iop.org
Quantum state tomography identifies target quantum states by performing repetitive
measurements on identical copies. In this paper, we have two key contributions aimed at …

Using non-convex optimization in quantum process tomography: Factored gradient descent is tough to beat

DA Quiroga, A Kyrillidis - 2023 IEEE International Conference …, 2023 - ieeexplore.ieee.org
We propose a non-convex optimization algorithm, based on the Burer-Monteiro (BM)
factorization, for the quantum process tomography problem, in order to estimate a low-rank …

Quantum state tomography based on infidelity estimation

Y Wang, L Liu, T Dou, L Li… - Quantum Science and …, 2024 - iopscience.iop.org
Quantum state tomography is a cornerstone of quantum information technologies to
characterize and benchmark quantum systems from measurement statistics. In this work, we …

[HTML][HTML] A New Method Based on Locally Optimal Step Length in Accelerated Gradient Descent for Quantum State Tomography

M Dolatabadi, V Loia, P Siano - Sensors, 2024 - mdpi.com
Quantum state tomography (QST) is one of the key steps in determining the state of the
quantum system, which is essential for understanding and controlling it. With statistical data …

A Bayesian quantum state tomography along with adaptive frameworks based on linear minimum mean square error criterion

S Mondal, AK Dutta - New Journal of Physics, 2023 - iopscience.iop.org
Quantum state tomography (QST) is essential for characterizing unknown quantum states.
Several methods of estimating quantum states already exist and can be classified mainly …

Quantum State Tomography via Nonconvex Riemannian Gradient Descent

MC Hsu, EJ Kuo, WH Yu, JF Cai, MH Hsieh - Physical Review Letters, 2024 - APS
The recovery of an unknown density matrix of large size requires huge computational
resources. State-of-the-art performance has recently been achieved with the factored …

Optimal Allocation of Pauli Measurements for Low-rank Quantum State Tomography

Z Qin, C Jameson, Z Gong, MB Wakin, Z Zhu - arXiv preprint arXiv …, 2024 - arxiv.org
The process of reconstructing quantum states from experimental measurements,
accomplished through quantum state tomography (QST), plays a crucial role in verifying and …