94 citations · 344 across the 11 of their papers we have counts for
11 papers
Entanglement Features of Random Neural Network Quantum States
Xiao-Qi Sun, Tamra Nebabu, Xizhi Han +2
Restricted Boltzmann machines (RBMs) are a class of neural networks that have been successfully employed as a variational ansatz for quantum many-body wave functions. Here, we deve…
Neural quantum states for supersymmetric quantum gauge theories
Xizhi Han, Enrico Rinaldi
Supersymmetric quantum gauge theories are important mathematical tools in high energy physics. As an example, supersymmetric matrix models can be used as a holographic description…
Matrix Model simulations using Quantum Computing, Deep Learning, and Lattice Monte Carlo
Enrico Rinaldi, Xizhi Han, Mohammad Hassan +4
Matrix quantum mechanics plays various important roles in theoretical physics, such as a holographic description of quantum black holes. Understanding quantum black holes and the r…
Quantum Many-body Bootstrap
Xizhi Han
A numerical bootstrap method is proposed to provide rigorous and nontrivial bounds in general quantum many-body systems with locality. In particular, lower bounds on ground state e…
Bootstrapping Matrix Quantum Mechanics
Xizhi Han, Sean A. Hartnoll, Jorrit Kruthoff
Large matrix quantum mechanics is central to holographic duality but not solvable in the most interesting cases. We show that the spectrum and simple expectation values in thes…
Kitaev's quantum double model as an error correcting code
Shawn X. Cui, Dawei Ding, Xizhi Han +4
Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order. In particular, the ground space is thought to yield a quantum…
Deep Quantum Geometry of Matrices
Xizhi Han, Sean A. Hartnoll
We employ machine learning techniques to provide accurate variational wavefunctions for matrix quantum mechanics, with multiple bosonic and fermionic matrices. Variational quantum…
Quantum Scrambling and State Dependence of the Butterfly Velocity
Xizhi Han, Sean A. Hartnoll
Operator growth in spatially local quantum many-body systems defines a scrambling velocity. We prove that this scrambling velocity bounds the state dependence of the out-of-time-or…
Locality Bound for Dissipative Quantum Transport
Xizhi Han, Sean A. Hartnoll
We prove an upper bound on the diffusivity of a general local and translation invariant quantum Markovian spin system: $D \leq D_0 + \left(α\, v_\text{LR} τ+ β\, ξ\right) v_\text{C…
Ehrenfest breakdown of the mean-field dynamics of Bose gases
Xizhi Han, Biao Wu
The mean-field dynamics of a Bose gas is shown to break down at time where is the Lyapunov exponent of the mean-field theory, is the number of bosons,…
Entropy for Quantum Pure States and Its Dynamical Relaxation
Xizhi Han, Biao Wu
We construct a complete set of Wannier functions which are localized at both given positions and momenta. This allows us to introduce the quantum phase space, onto which a quantum…