8 citations · 8 across the 1 of their papers we have counts for
6 papers
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…