123 citations · 301 across the 13 of their papers we have counts for
14 papers
Gaussian Universality and Its Breakdown in Tensor-Network Machine Learning
Shi-Tuan Wang, Zidu Liu, Li-Wei Yu
Gaussian-process limits are powerful in describing overparameterized machine learning models, yet their validity in structured tensor-network architectures remains unclear. Here we…
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…
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…
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…
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…
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…
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…
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…
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…
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…
-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…
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…
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 sol…
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…