activity
20052026
most citedTopological Quantum Compiling

99 citations · 389 across the 7 of their papers we have counts for

collaborators

7 papers

cond-mat.supr-con2026

Exactly solvable pair-density wave in topological flat bands from magnetic translation symmetries

Zhengzhi Wu, Zhou-Quan Wan, Steven H. Simon

Pair-density wave (PDW) superconductors are exotic phases in which Cooper pairs carry finite center-of-mass momentum. Despite a variety of theoretical and experimental reports on P…

quant-ph2024

Minimal Quantum Circuits for Simulating Fibonacci Anyons

Sary Bseiso, Joel Pommerening, Richard R. Allen +2

The Fibonacci topological order is the prime candidate for the realization of universal topological quantum computation. We devise minimal quantum circuits to demonstrate the non-A…

cond-mat.mes-hall2011★ 32 cited

Braiding of Abelian and Non-Abelian Anyons in the Fractional Quantum Hall Effect

Sanghun An, P. Jiang, H. Choi +5

In this paper, we report on the study of Abelian and non-Abelian statistics through Fabry-Perot interferometry of fractional quantum Hall (FQH) systems. Our detection of phase slip…

quant-ph2009★ 71 cited

Topological Quantum Computing with Read-Rezayi States

L. Hormozi, N. E. Bonesteel, S. H. Simon

Read-Rezayi fractional quantum Hall states are among the prime candidates for realizing non-Abelian anyons which in principle can be used for topological quantum computation. We pr…

cond-mat.mes-hall2009★ 96 cited

Numerical Analysis of Quasiholes of the Moore-Read Wavefunction

M. Baraban, G. Zikos, N. Bonesteel +1

We demonstrate numerically that non-Abelian quasihole excitations of the fractional quantum Hall state have some of the key properties necessary to support quantum computa…

quant-ph2006★ 99 cited

Topological Quantum Compiling

L. Hormozi, G. Zikos, N. E. Bonesteel +1

A method for compiling quantum algorithms into specific braiding patterns for non-Abelian quasiparticles described by the so-called Fibonacci anyon model is developed. The method i…