56 citations · 142 across the 33 of their papers we have counts for
33 papers
Spin-charge separation in the triangular-lattice Hofstadter-Hubbard model
Yuntian Gu, Hui Yang, Zhehao Dai +1
Recent experiments in moiré materials have enabled the realization of a variety of exotic quantum phases. In this context, the Hofstadter-Hubbard model has been proposed as a possi…
Quantum-classical crossover in fault-tolerant quantum dynamics simulation
Jinzhao Sun, Bozhen Zhou, Jue Xu +28
While quantum computers promise to solve classically intractable problems, identifying the point at which fault-tolerant quantum computation outperforms the best classical algorith…
Efficient classical simulation of two-dimensional long-range systems: Rydberg arrays and beyond
Jia-Lin Chan, Tao Xiang, Yantao Wu
In variational Monte Carlo (VMC) calculations of -site quantum systems with arbitrary all-to-all two-body interactions, evaluating the local energy generally costs . We…
Resolving support-mismatch by local basis rotation in variational Monte Carlo
Jia-Lin Chen, Zhen Fan, Canhui Yan +2
Real-time dynamics after a local quench by a charged operator encodes the response functions measured in spectroscopic experiments, yet they have long posed a challenge for variati…
Disentangling Tensor Network States with Deep Neural Network
Chaohui Fan, Bo Zhan, Yuntian Gu +5
We introduce Neural Tensor Network States (TNS), a variational many-body wave-function ansatz that integrates deep neural networks with tensor-network architectures. In the T…
Self-similar blow-up profile for the one-dimensional reduction of generalized SQG with infinite energy
Thomas Y. Hou, Xiang Qin, Yannick Sire +1
We study the singularity formation mechanisms of the inviscid generalized Surface Quasi-Geostrophic (gSQG) equation on the whole space and on the upper half-plane $\…
Variational Monte Carlo (VMC) with row-update Projected Entangled-Pair States (PEPS) and its applications in quantum spin glasses
Tao Chen, Jing Liu, Yantao Wu +2
Solving the quantum many-body ground state problem remains a central challenge in computational physics. In this context, the Variational Monte Carlo (VMC) framework based on Proje…
Liquid crystals and topological vorticity: smoothness of mild solutions
Fanghua Lin, Yannick Sire, Yantao Wu +1
We introduce several new models whose common feature is to take into account effects from topological vorticity. The macroscopic unknown is driven by a dissipative anomalous diffus…
Real-Time Dynamics in Two Dimensions with Tensor Network States via Time-Dependent Variational Monte Carlo
Yantao Wu, Jannes Nys
Reliably simulating two-dimensional many-body quantum dynamics with projected entangled pair states (PEPS) has long been a difficult challenge. In this work, we overcome this barri…
No-go theorems for sequential preparation of two-dimensional chiral states via channel-state correspondence
Ruihua Fan, Yantao Wu, Yimu Bao +1
We investigate whether sequential unitary circuits can prepare two-dimensional chiral states, using a correspondence between sequentially prepared states, isometric tensor network…
Solving the Hubbard model with Neural Quantum States
Yuntian Gu, Wenrui Li, Heng Lin +9
The rapid development of neural quantum states (NQS) has established it as a promising framework for studying quantum many-body systems. In this work, by leveraging the cutting-edg…
Algorithms for variational Monte Carlo calculations of fermion projected entangled pair states in the swap gates formulation and the detailed balance of tensor network sequential sampling
Yantao Wu, Zhehao Dai
In recent years, the variational Monte Carlo (VMC) calculations of projected entangled pair states (PEPS) has emerged as a competitive method for computing the ground states of man…
Accurate Gauge-Invariant Tensor Network Simulations for Abelian Lattice Gauge Theory in (2+1)D: ground state and real-time dynamics
Yantao Wu, Wen-Yuan Liu
We propose a novel tensor network method to achieve accurate and efficient simulations of Abelian lattice gauge theories (LGTs) in (2+1)D for both ground state and real-time dynami…
Alternating and Gaussian fermionic Isometric Tensor Network States
Yantao Wu, Zhehao Dai, Sajant Anand +5
Isometric tensor networks in two dimensions enable efficient and accurate study of quantum many-body states, yet the effect of the isometric restriction on the represented quantum…
Conditional regression for the Nonlinear Single-Variable Model
Yantao Wu, Mauro Maggioni
Regressing a function on without incurring the statistical and computational curse of dimensionality requires exploitable structure. Compositional models $F=f\ci…
Tensor Network Python (TeNPy) version 1
Johannes Hauschild, Jakob Unfried, Sajant Anand +27
TeNPy (short for 'Tensor Network Python') is a python library for the simulation of strongly correlated quantum systems with tensor networks. The philosophy of this library is to a…
Global Existence of Weak Solutions to the Two Dimensional Nematic Liquid Crystal Flow with Partially Free Boundary
Yannick Sire, Yantao Wu, Yifu Zhou
We consider a nematic liquid crystal flow with partially free boundary in a smooth bounded domain in . We prove regularity estimates and the global existence of weak…
Two Dimensional Isometric Tensor Networks on an Infinite Strip
Yantao Wu, Sajant Anand, Sheng-Hsuan Lin +2
The exact contraction of a generic two-dimensional (2D) tensor network state (TNS) is known to be exponentially hard, making simulation of 2D systems difficult. The recently introd…
Fermionic Isometric Tensor Network States in Two Dimensions
Zhehao Dai, Yantao Wu, Taige Wang +1
We generalize isometric tensor network states to fermionic systems, paving the way for efficient adaptations of 1D tensor network algorithms to 2D fermionic systems. As the first a…
Gate Based Implementation of the Laplacian with BRGC Code for Universal Quantum Computers
Ermal Rrapaj, Kenneth S. McElvain, Chia Cheng Chang +2
We study the gate-based implementation of the binary reflected Gray code (BRGC) and binary code of the unitary time evolution operator due to the Laplacian discretized on a lattice…
Halperin's conjecture in formal dimensions up to 20
Lee Kennard, Yantao Wu
A 1976 conjecture of Halperin on positively elliptic spaces was recently confirmed in formal dimensions up to 16. In this article, we shorten the proof and extend the result up to…
Improving Schrödinger Equation Implementations with Gray Code for Adiabatic Quantum Computers
Chia Cheng Chang, Kenneth S. McElvain, Ermal Rrapaj +1
We reformulate the continuous space Schrödinger equation in terms of spin Hamiltonians. For the kinetic energy operator, the critical concept facilitating the reduction in model co…
Dissipative dynamics in isolated quantum spin chains after a local quench
Yantao Wu
We provide numerical evidence that after a local quench in an isolated infinite quantum spin chain, the quantum state locally relaxes to the ground state of the post-quenched Hamil…
Time-dependent variational principle of mixed matrix product states in the thermodynamic limit
Yantao Wu
We describe a time evolution algorithm for quantum spin chains whose Hamiltonians are composed of an infinite uniform left and right bulk part, and an arbitrary finite region in be…