百晓学者学者目录

刘正伟

博导、教授，清华大学

精选作品

期刊论文

2026

Two-dimensional quon language: Unifying framework for Cliffords, matchgates, and beyond

Byungmin Kang, Chen Zhao, Zhengwei Liu, Xun Gao, Soonwon Choi

Physical review. B./Physical review. B

DOI

2026

Phase group categories of bimodule quantum channels

Linzhe Huang, Chunlan Jiang, Zhengwei Liu, Jinsong Wu

Science China Mathematics

2025

Quon Classical Simulation: Unifying Clifford, Matchgates and Entanglement

Z. Feng, Zhengwei Liu, Fan Lu, Ning Wang

arXiv.org

DOI

2025

The quantum Perron–Frobenius space

Linzhe Huang, Arthur M. Jaffe, Zhengwei Liu, Jinsong Wu

Journal of Noncommutative Geometry

DOI

2025

Quantum convolution inequalities on Frobenius von Neumann algebras

Linzhe Huang, Zhengwei Liu, Jinsong Wu

Science China Mathematics

2024

Simulating Noisy Variational Quantum Algorithms: A Polynomial Approach

Yuguo Shao, Fuchuan Wei, Song Cheng, Zhengwei Liu

Physical Review Letters

DOI

2024

Quantum smooth uncertainty principles for von Neumann bi-algebras

Linzhe Huang, Zhengwei Liu, Jinsong Wu

Quantum Topology

DOI

2020

Non-commutative Rényi entropic uncertainty principles

Zhengwei Liu, Jinsong Wu

Science China Mathematics

2019

Block maps and Fourier analysis

Chunlan Jiang, Zhengwei Liu, Jinsong Wu

Science China Mathematics

2018

Holographic software for quantum networks

Arthur Jaffe, Zhengwei Liu, Alex Wozniakowski

Science China Mathematics

2017

非交换傅立叶变换

刘正伟，吴劲松

《数学学报(中文版)》

2002

Prediction Operators in Banach Ideal Spaces

Ting-Fu Wang, Zhengwei Liu

Journal of Approximation Theory

DOI

预印本

2026

Axiomatization of the Levin--Wen Wave Function

Zhengwei Liu, Zishuo Zhao

arXiv preprint

2026

Complexity of tensor network simulation for noisy quantum circuits

Yuguo Shao, Zishuo Zhao, Song Cheng, Zhengwei Liu

arXiv preprint

2026

Equivalence of states and bimodule quantum channels

Linzhe Huang, Chunlan Jiang, Zhengwei Liu, Jinsong Wu

arXiv preprint

2026

Resonance Breaking in Noisy Shor's Algorithm

Zhengwei Liu

arXiv preprint

2026

Braiding structures on categorical multi-Interval Jones-Wassermann subfactor

Zhengwei Liu, Yuze Ruan

arXiv preprint

2026

Entropy Contraction and Hypercontractivity for Gaussian Quantum Markov Semigroups

Zhengwei Liu, Jincheng Wan, Jinsong Wu

arXiv preprint

2026

A Unified Frequency Principle for Quantum and Classical Machine Learning

Rundi Lu, Ruiqi Zhang, Weikang Li, Zhaohui Wei, Dong-Ling Deng, Zhengwei Liu

arXiv preprint

2026

Quantum Derivative Pricing for SPDEs via BDSDE Representation

Xinmiao Li, Yanqiao Wang, Rundi Lu, Zhengwei Liu, Jin-Peng Liu

arXiv preprint

2026

Some entropic inequalities for primitive KMS symmetric quantum Markov semigroups

Zhengwei Liu, Jincheng Wan, Jinsong Wu

arXiv preprint

2026

Frustration-Free Models for Topological Holography: Fusion Spin Chains as Boundary Algebras

Zhengwei Liu, Zishuo Zhao

arXiv preprint

2026

Robust exponential lower bounds for fermionic and bosonic Gaussian ranks

Fuchuan Wei, Kong-Wing Wu, Zhengwei Liu, Zi-Wen Liu

arXiv preprint

2026

Triangular prism equations for near-group categories: algebraic solutions and a unitary conjecture

Huixuan He, Zhengwei Liu, Fan Lu, Sebastien Palcoux, Yunxiang Ren

arXiv preprint

2026

Scaling law of variational quantum algorithms

Ningfeng Wang, Zhengwei Liu

arXiv preprint

2025

Topological Orders from Reflection Positive Frustration-free Hamiltonians

Zhengwei Liu, Zishuo Zhao

arXiv preprint

2025

Characterizing Pauli Propagation via Operator Complexity

Yuguo Shao, Song Cheng, Zhengwei Liu

arXiv preprint

2025

Taming Barren Plateaus in Arbitrary Parameterized Quantum Circuits without Sacrificing Expressibility

Zhenyu Chen, Yuguo Shao, Zhengwei Liu, Zhaohui Wei

arXiv preprint

2025

Diagnosing Quantum Circuits: Noise Robustness, Trainability, and Expressibility

Yuguo Shao, Zhenyu Chen, Zhaohui Wei, Zhengwei Liu

arXiv preprint

2025

Infinite-dimensional Extension of the Linear Combination of Hamiltonian Simulation: Theorems and Applications

Rundi Lu, Hao-En Li, Zhengwei Liu, Jin-Peng Liu

arXiv preprint

2025

BELT: Block Encoding of Linear Transformation on Density Matrices

Fuchuan Wei, Rundi Lu, Yuguo Shao, Junfeng Li, Jin-Peng Liu, Zhengwei Liu

arXiv preprint

2024

Classification of exchange relation planar algebras through sieving forest fusion graphs

Fan Lu, Zhengwei Liu

arXiv preprint

2024

Functional Integral Construction of Topological Quantum Field Theory

Zhengwei Liu

arXiv (Cornell University)

DOI

2024

Clifford Perturbation Approximation for Quantum Error Mitigation

Ruiqi Zhang, Yuguo Shao, Fuchuan Wei, Song Cheng, Zhaohui Wei, Zhengwei Liu

arXiv preprint

2024

Alterfold Theory and Topological Modular Invariance

Zhengwei Liu, Shuang Ming, Yilong Wang, Jinsong Wu

arXiv preprint

2024

On $\mathbb{Z}/2\mathbb{Z}$ permutation gauging

Zhengwei Liu, Yuze Ruan

arXiv preprint

2023

Realizing Non-Physical Actions through Hermitian-Preserving Map Exponentiation

Fuchuan Wei, Zhenhuan Liu, Guoding Liu, Zizhao Han, Xiongfeng Ma, Dong-Ling Deng, Zhengwei Liu

arXiv preprint

2023

3-Alterfolds and Quantum Invariants

Zhengwei Liu, Shuang Ming, Yilong Wang, Jinsong Wu

arXiv preprint

2023

Alterfold Topological Quantum Field Theory

Zhengwei Liu, Shuang Ming, Yilong Wang, Jinsong Wu

arXiv preprint

2022

Triangular Prism Equations and Categorification

Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren, Gert Vercleyen

arXiv preprint

2022

Complete Positivity of Comultiplication and Primary Criteria for Unitary Categorification

Linzhe Huang, Zhengwei Liu, Sebastien Palcoux, Jinsong Wu

arXiv preprint

2021

Interpolated family of non group-like simple integral fusion rings of Lie type

Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren

arXiv preprint

DOI

2020

Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six

Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren

arXiv preprint

DOI

2020

The Grothendieck Ring of a Family of Spherical Categories

Zhengwei Liu, Christopher Ryba

arXiv preprint

2020

Quantum Fourier Analysis

Arthur Jaffe, Chunlan Jiang, Zhengwei Liu, Yunxiang Ren, Jinsong Wu

arXiv preprint

DOI

2019

Reflection Positivity and Levin-Wen Models

Arthur Jaffe, Zhengwei Liu

arXiv preprint

2019

Universal Quantum Computation by a Single Photon

Xiaoqin Gao, Zhengwei Liu

arXiv preprint

2019

Fusion Bialgebras and Fourier Analysis

Zhengwei Liu, Sebastien Palcoux, Jinsong Wu

arXiv preprint

DOI

2019

Quantized Graphs and Quantum Error Correction

Zhengwei Liu

arXiv preprint

2019

The adjoint braid arrangement as a combinatorial Lie algebra via the Steinmann relations

Zhengwei Liu, William Norledge, Adrian Ocneanu

arXiv preprint

2018

De Finetti Theorems for Braided Parafermions

Kaifeng Bu, Arthur Jaffe, Zhengwei Liu, Jinsong Wu

arXiv preprint

DOI

2018

Antisymmetric characters and Fourier duality

Zhengwei Liu, Jinsong Wu

arXiv preprint

2017

A Mathematical Picture Language Program

Arthur Jaffe, Zhengwei Liu

arXiv preprint

DOI

2017

Quon language: surface algebras and Fourier duality

Zhengwei Liu

arXiv preprint

2017

An angle between intermediate subfactors and its rigidity

Keshab Chandra Bakshi, Sayan Das, Zhengwei Liu, Yunxiang Ren

arXiv preprint

2017

Lifting shadings on symmetrically self-dual subfactor planar algebras

Zhengwei Liu, Scott Morrison, David Penneys

arXiv preprint

2016

Young's inequality for locally compact quantum groups

Zhengwei Liu, Simeng Wang, Jinsong Wu

arXiv preprint

2016

Constructive Simulation and Topological Design of Protocols

Arthur Jaffe, Zhengwei Liu, Alex Wozniakowski

arXiv preprint

DOI

2016

Planar Para Algebras, Reflection Positivity

Arthur Jaffe, Zhengwei Liu

arXiv preprint

DOI

2016

Quons: A 3D Language for Quantum Information

Zhengwei Liu, Alex Wozniakowski, Arthur Jaffe

arXiv preprint

DOI

2016

Compressed Teleportation

Arthur Jaffe, Zhengwei Liu, Alex Wozniakowski

arXiv preprint

2016

Qudit Isotopy

Arthur Jaffe, Zhengwei Liu, Alex Wozniakowski

arXiv preprint

2016

Jones-Wassermann subfactors for modular tensor categories

Zhengwei Liu, Feng Xu

arXiv preprint

2016

Uncertainty Principles for Kac Algebras

Zhengwei Liu, Jinsong Wu

arXiv preprint

DOI

2015

The generator conjecture for $3^G$ subfactor planar algebras

Zhengwei Liu, David Penneys

arXiv preprint

2015

Yang-Baxter relation planar algebras

Zhengwei Liu

arXiv preprint

2014

Singly generated planar algebras of small dimension, Part III

Dietmar Bisch, Vaughan F. R. Jones, Zhengwei Liu

arXiv preprint

2014

Noncommutative Uncertainty Principles

Chunlan Jiang, Zhengwei Liu, Jinsong Wu

arXiv preprint

DOI

2013

1-supertransitive subfactors with index at most 6+1/5

Zhengwei Liu, Scott Morrison, David Penneys

arXiv preprint

DOI

2013

Composed inclusions of $A_3$ and $A_4$ subfactors

Zhengwei Liu

arXiv preprint

DOI

2013

Exchange relation planar algebras of small rank

Zhengwei Liu

arXiv preprint

DOI

研究方向

算子代数量子信息及数学物理学科方向

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