53 citations · 158 across the 14 of their papers we have counts for
14 papers
On -parastatistics I: Foundation
Zhiyuan Wang, Kaden R. A. Hazzard
Parastatistics is an exotic type of exchange statistics beyond fermions and bosons. Paraparticles transform in higher dimensional representations of the exchange symmetry group, an…
Secret communication games and a hierarchy of quasiparticle statistics in 3 + 1D topological phases
Zhiyuan Wang
We show that a family of secret communication challenge games naturally define a hierarchy of emergent quasiparticle statistics in three-dimensional (3D) topological phases. The wi…
Reinforcement Learning for Quantum Circuit Design: Using Matrix Representations
Zhiyuan Wang, Chunlin Feng, Christopher Poon +5
Quantum computing promises advantages over classical computing. The manufacturing of quantum hardware is in the infancy stage, called the Noisy Intermediate-Scale Quantum (NISQ) er…
Parastatistics and a secret communication challenge
Zhiyuan Wang
One of the most unconventional features of topological phases of matter is the emergence of quasiparticles with exotic statistics, such as non-Abelian anyons in two dimensional sys…
Hopf algebras and solvable unitary circuits
Zhiyuan Wang
Exactly solvable models in quantum many body dynamics provide valuable insights into many interesting physical phenomena, and serve as platforms to rigorously investigate fundament…
Particle exchange statistics beyond fermions and bosons
Zhiyuan Wang, Kaden R. A. Hazzard
It is commonly believed that there are only two types of particle exchange statistics in quantum mechanics, fermions and bosons, with the exception of anyons in two dimension. In p…
Locality of gapped ground states in systems with power-law decaying interactions
Zhiyuan Wang, Kaden R. A. Hazzard
It has been proved that in gapped ground states of locally-interacting quantum systems, the effect of local perturbations decays exponentially with distance. However, in systems wi…
Topological correlations in three dimensional classical Ising models: an exact solution with a continuous phase transition
Zhiyuan Wang, Kaden R. A. Hazzard
We study a three-dimensional (3D) classical Ising model that is exactly solvable when some coupling constants take certain imaginary values. The solution combines and generalizes t…
Bounding the finite-size error of quantum many-body dynamics simulations
Zhiyuan Wang, Michael Foss-Feig, Kaden R. A. Hazzard
Finite-size error (FSE), the discrepancy between an observable in a finite system and in the thermodynamic limit, is ubiquitous in numerical simulations of quantum many body system…
Tightening the Lieb-Robinson Bound in Locally-Interacting Systems
Zhiyuan Wang, Kaden R. A. Hazzard
The Lieb-Robinson (LR) bound rigorously shows that in quantum systems with short-range interactions, the maximum amount of information that travels beyond an effective "light cone"…
Strings of ultracold molecules in a synthetic dimension
Bhuvanesh Sundar, Matthew Thibodeau, Zhiyuan Wang +2
We consider ultracold polar molecules trapped in a unit-filled one-dimensional chain in real space created with an optical lattice or a tweezer array and illuminated by microwaves…
Analytic ground state wavefunctions of mean-field superconductors with vortices and boundaries
Zhiyuan Wang, Kaden R. A. Hazzard
We study Read and Green's mean-field model of the spinless superconductor [N.Read and D.Green, Phys. Rev. B 61, 10267 (2000)] at a special set of parameters where we fin…
Number-conserving interacting fermion models with exact topological superconducting ground states
Zhiyuan Wang, Youjiang Xu, Han Pu +1
We present a method to construct number-conserving Hamiltonians whose ground states exactly reproduce an arbitrarily chosen BCS-type mean-field state. Such parent Hamiltonians can…
A unified approach to hadron phenomenology at zero and finite temperatures in a hard-wall AdS/QCD model
Zhiyuan Wang, Bo-Qiang Ma
We propose a unified approach to study meson, nucleon and -baryon properties at zero and finite temperatures in the context of hard-wall AdS/QCD model. We first combine some pre…