Ref：Ph.D. Dissertation
《Quantum simulation of Z2 lattice gauge theory and its application in quantum algorithm of graph theory》. Xiaopeng Cui. Fudan University. 2020-8
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Ref：
Ph.D. Dissertation(Chapter 2)
(1) 《Circuit-based digital adiabatic quantum simulation and pseudoquantum simulation as new approaches to lattice gauge theory》Xiaopeng Cui, ... , Yu Shi. Fudan University. J. High Energ. Phys. 2020, 160 (2020). 2020-8 [PDF]
(2) 《Trotter errors in digital adiabatic quantum simulation of quantum ℤ2 lattice gauge theory》Xiaopeng Cui, Yu Shi. Fudan University. 2020-8 [PDF]
Ph.D. Dissertation(Chapter 4)
(1) 《Correspondence between the Hamiltonian cycle problem and the quantum lattice gauge theory》. Xiaopeng Cui, Yu Shi. Fudan University. 2023 EPL 144 48001. 2023-12 [PDF];
《Sovling NP Graph Problem with Quantum Z2 Lattice Gauge Theory》. Xiaopeng Cui. Fudan University. 2020-8 [PDF]
(2) 《A Quantum Model for Sovling HCP and TSP Graph Problem Based on Quantum Z2 Lattice Gauge Theory.pdf》. Xiaopeng Cui. 2022-6 [PDF]
Application of quantum Z2 gauge theory quantum simulation in quantum algorithm of the shortest path problem, Hamiltonian cycle problem HCP or traveling salesman problem TSP in graph theory
Download Link: [PDF 1]
Download Link: [PDF 2]
（1）《Speedup of high-order unconstrained binary optimization using quantum Z2 lattice gauge theory》. Biying Wang , Xiaopeng Cui*, ... , Manhong Yung, Yu Shi. Communications Physics volume 8, Article number: 150 (2025).2025-4 [PDF];
（2）《Digital quantum simulation and pseudoquantum simulation of the Z2 gauge–Higgs model》. Yiming Ding, Xiaopeng Cui, Yu Shi. Communications Physics volume 8, Article number: 150 (2025). Phys. Rev. D 105, 054508(2022). 2022-3 [PDF];
1. Quantum simulation of Z2 gauge theory
2. Topological quantum transition of Z2 gauge theory with the change of lattice topology
3. Application of Z2 gauge theory quantum simulation of quantum algorithm in Hamiltonian cycle problem（HCP) in graph theory
(/public/Sovling NP Graph Problem with Quantum Z2 Lattice Gauge Theory.pdf)
4. QBLAS：A quantum basic linear algebra and simulation library
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The chapter 1 describes the research background:$Z_2$ lattice gauge theory and the main research content of this paper. The
In chapter 2, we outline a quantum simulation scheme of quantum
In chapter 3, the digitized adiabatic quantum simulation algorithm is used to study the quantum
In chpater 4, using the condensed close string characteristics of
In chapter 5, an open source quantum basic linear algebra and quantum simulation library(QBLAS) is developed based on the newest Q# quantum programming language of Microsoft. With the rapid development of quantum computing software and hardware, various quantum algorithms characterized by quantum linear algebra spring up like mushrooms. These algorithms exponentially accelerate various computational and machine learning tasks. In addition, as the killer application of quantum computing, quantum simulation has unique advantages in solving monte carlo symbol problems, strong correlation problems and non-equilibrium dynamics simulation problems. With this trend, it is necessary to systematically develop an algorithm library focus on quantum basic linear algebra and quantum simulation algorithm for welcoming the arrival of the quantum era. QBLAS is such a quantum algorithm library.
The chapter 6 summarizes the work in this article and discusses the future development of the field. By adiabatic quantum simulation of