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20222026
most citedQuantum State Tomography for Matrix Product Density Operators

15 citations · 28 across the 26 of their papers we have counts for

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quant-ph2026

Generalization of Transformer-Based Neural Quantum States via In-Context Learning

Zhen Qin, Qing Qu, Alfred O. Hero

Neural quantum states based on modern deep learning architectures have emerged as powerful representations for quantum many-body systems. In particular, Transformer-based neural qu…

quant-ph2026

From Barren Plateaus to SPSA Optimization in Variational Quantum Eigensolvers

Zhen Qin

The barren plateau (BP) phenomenon poses a fundamental challenge to the trainability of variational quantum eigensolvers (VQEs) by causing exponentially vanishing gradients as the…

quant-ph2026

A Unified Framework for Sample Complexity of Structured Quantum State Tomography under Noisy Observations

Zhen Qin

Quantum state tomography (QST) has attracted considerable attention due to its fundamental role in quantum information processing. In this paper, we develop a unified theoretical f…

quant-ph2026

Structured Factorization Approaches for Quantum State Tomography

Zhen Qin, Joseph M. Lukens, Brian T. Kirby +1

Since the complexity of quantum state tomography (QST) scales exponentially with system size, exploiting priors such as low-rankness, tensor-network structures, and neural-network…

quant-ph2026

Geometric Analysis of Variational Quantum Eigensolver

Zhen Qin

The Variational Quantum Eigensolver (VQE) is a fundamental algorithm in quantum computing, yet a coherent geometric characterization of VQE remains missing due to fragmented analys…

quant-ph2026

Statistical and Algorithmic Foundations of Probing Quantum Systems with Compressive Measurements: A Review

Zhen Qin, Michael B. Wakin, Zhihui Zhu

Quantum state tomography (QST) is a fundamental task in quantum information science that aims to reconstruct unknown quantum states from measurement data. However, the exponential…

quant-ph2025

Quantum State Tomography for Tensor Networks in Two Dimensions

Zhen Qin, Zhihui Zhu

Recent work has shown that for one-dimensional quantum states that can be effectively approximated by matrix product operators (MPOs), a polynomial number of copies of the state su…

quant-ph2025

Enhancing Quantum State Reconstruction with Structured Classical Shadows

Zhen Qin, Joseph M. Lukens, Brian T. Kirby +1

Quantum state tomography (QST) remains the prevailing method for benchmarking and verifying quantum devices; however, its application to large quantum systems is rendered impractic…

quant-ph2024

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

Zhen Qin, Casey Jameson, Zhexuan Gong +2

The process of reconstructing quantum states from experimental measurements, accomplished through quantum state tomography (QST), plays a crucial role in verifying and benchmarking…

quant-ph2024

Sample-Efficient Quantum State Tomography for Structured Quantum States in One Dimension

Zhen Qin, Casey Jameson, Alireza Goldar +3

While quantum state tomography (QST) remains the gold standard for benchmarking and verifying quantum devices, it requires an exponentially large number of measurements and classic…

quant-ph2024

Optimal quantum state tomography with local informationally complete measurements

Casey Jameson, Zhen Qin, Alireza Goldar +3

Quantum state tomography (QST) remains the gold standard for benchmarking and verification of near-term quantum devices. While QST for a generic quantum many-body state requires an…

quant-ph2023★ 15 cited

Quantum State Tomography for Matrix Product Density Operators

Zhen Qin, Casey Jameson, Zhexuan Gong +2

The reconstruction of quantum states from experimental measurements, often achieved using quantum state tomography (QST), is crucial for the verification and benchmarking of quantu…

quant-ph2022★ 6 cited

Quantum state tomography with tensor train cross approximation

Alexander Lidiak, Casey Jameson, Zhen Qin +4

It has been recently shown that a state generated by a one-dimensional noisy quantum computer is well approximated by a matrix product operator with a finite bond dimension indepen…