Publications (17)
Topological numbers of Happer model with "puzzling" degeneracy in periodic magnetic field
Yingkai Liu, Yifei Liu, Li-Wei Yu
The Happer model, as the variation of Rabi-Breit model, describes the interactions between the total nuclear spin and the total electron spin-1 of the triplet dimer molecules of ${…
No-Free-Lunch Theories for Tensor-Network Machine Learning Models
Jing-Chuan Wu, Qi Ye, Dong-Ling Deng +1
Tensor network machine learning models have shown remarkable versatility in tackling complex data-driven tasks, ranging from quantum many-body problems to classical pattern recogni…
Deterministic topological quantum gates for Majorana qubits without ancillary modes
Su-Qi Zhang, Jian-Song Hong, Yuan Xue +4
The realization of quantum gates in topological quantum computation still confronts significant challenges in both fundamental and practical aspects. Here, we propose a determinist…
Non-Abelian braiding of Fibonacci anyons with a superconducting processor
Shibo Xu, Zheng-Zhi Sun, Ke Wang +29
Non-Abelian topological orders offer an intriguing path towards fault-tolerant quantum computation, where information can be encoded and manipulated in a topologically protected ma…
Parafermionic Chain Emerging From Yang-Baxter Equation
Li-Wei Yu, Mo-Lin Ge
We construct the 1D parafermionic model based on the solution of Yang-Baxter equation and express the model by three types of fermions. It is shown that the $\mathbb…
Expressibility-induced Concentration of Quantum Neural Tangent Kernels
Li-Wei Yu, Weikang Li, Qi Ye +3
Quantum tangent kernel methods provide an efficient approach to analyzing the performance of quantum machine learning models in the infinite-width limit, which is of crucial import…
The Presence and Absence of Barren Plateaus in Tensor-network Based Machine Learning
Zidu Liu, Li-Wei Yu, L. -M. Duan +1
Tensor networks are efficient representations of high-dimensional tensors with widespread applications in quantum many-body physics. Recently, they have been adapted to the field o…
-norm in three-qubit quantum entanglement constrained by Yang-Baxter equation
Li-Wei Yu, Mo-Lin Ge
Usually the -norm plays vital roles in quantum physics, acting as the probability of states. In this paper, we show the important roles of -norm in Yang-Baxter quan…
New type of solutions of Yang-Baxter equations, quantum entanglement and related physical models
Li-Wei Yu, Mo-Lin Ge
Starting from the Kauffman-Lomonaco braiding matrix transforming the natural basis to Bell states, the spectral parameter describing the entanglement is introduced through Yang-Bax…
Digital simulation of non-Abelian anyons with 68 programmable superconducting qubits
Shibo Xu, Zheng-Zhi Sun, Ke Wang +31
Non-Abelian anyons are exotic quasiparticle excitations hosted by certain topological phases of matter. They break the fermion-boson dichotomy and obey non-Abelian braiding statist…
Unsupervised Learning of Non-Hermitian Topological Phases
Li-Wei Yu, Dong-Ling Deng
Non-Hermitian topological phases bear a number of exotic properties, such as the non-Hermitian skin effect and the breakdown of conventional bulk-boundary correspondence. In this p…
Local Unitary Representation of Braids and N-Qubit Entanglements
Li-Wei Yu
In this paper, by utilizing the idea of stabilizer codes, we give some relationships between one local unitary representation of braid group in N-qubit tensor space and the corresp…
Experimental unsupervised learning of non-Hermitian knotted phases with solid-state spins
Yefei Yu, Li-Wei Yu, Wengang Zhang +5
Non-Hermiticity has widespread applications in quantum physics. It brings about distinct topological phases without Hermitian counterparts, and gives rise to the fundamental challe…
Theory on variational high-dimensional tensor networks
Zidu Liu, Qi Ye, Li-Wei Yu +2
Tensor network methods are powerful tools for studying quantum many-body systems. In this paper, we investigate the emergent statistical properties of random high-dimensional tenso…
More about the doubling degeneracy operators associated with Majorana fermions and Yang-Baxter equation
Li-Wei Yu, Mo-Lin Ge
A new realization of doubling degeneracy based on emergent Majorana operator presented by Lee-Wilczek has been made. The Hamiltonian can be obtained through the new type of so…
-norm and entanglement in screening out braiding from Yang-Baxter equation associated with parafermion
Li-Wei Yu, Mo-Lin Ge
The relationships between quantum entangled states and braid matrices have been well studied in recent years. However, most of the results are based on qubits. In this paper, We in…
Factorized Three-body S-Matrix Restrained by Yang-Baxter Equation and Quantum Entanglements
Li-Wei Yu, Qing Zhao, Mo-Lin Ge
This paper investigates the physical effects of Yang-Baxter equation (YBE) to quantum entanglements through the 3-body S-matrix in entangling parameter space. The explicit form of…