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 present a prescription for efficiently finding braids which can be used to carry out a universal set of quantum gates on encoded qubits based on anyons of the Read-Rezayi states with $k>2$, $k\neq4$. This work extends previous results which only applied to the case $k = 3$ (Fibonacci) and clarifies why in that case gate constructions are simpler than for a generic Read-Rezayi state.
A fractional quantum Hall factory on quantum processors: constant-depth preparation of clustered non-Abelian states
University of Tennessee, Knoxville(田纳西大学诺克斯维尔分校);Max Planck Institute for Chemical Physics of Solids(马克斯·普朗克固体化学物理研究所);National University of Singapore(新加坡国立大学);Ludwig-Maximilians-Universität München(慕尼黑路德维希-马克西米利安大学)
Anyon condensation, topological quantum information scrambling, and Andreev-like reflection of non-Abelian anyons in quantum Hall interfaces
量子信息置乱是将局域信息扩展为整个量子多体系统中的相关信息。这一概念已成为不同背景下的中心议题。在这项工作中,我们重申了量子霍尔界面中任意子凝聚和拓扑量子信息置乱之间的联系。我们考虑了阿贝尔Halperin-330态和非阿贝尔Read-Rezayi态之间的界面。我们显式地验证接口可以完全间隙。这使得阿贝尔任意子携带的局域赝自旋信息转化为完全由非阿贝尔量子霍尔液体中的任意子存储的拓扑信息,而界面上没有存储的加扰信息。结合我们以前的工作[K. K. W.妈妈和K。Yang,Phys.Rev.B105,045306(2022)],我们的结果证明了加扰机制对界面间隙的依赖性。本文还讨论了非阿贝尔任意子在完全带隙界面上的Andreev反射。
Measurement of line widths and permanent electric dipole moment change of the Ce 4f-5d transition in Y_2SiO_5 for a qubit readout scheme in rare-earth ion based quantum computing
Is Quantum Optimization Ready? An Effort Towards Neural Network Compression using Adiabatic Quantum Computing
Institute of High Performance Computing (IHPC), Agency for Science, Technology and Research (A*STAR)(高性能计算研究所(IHPC),科技研究局(A*STAR));Huadian Coal Industry Group Co. Ltd.(华电煤炭工业集团有限公司);Institute of Computing Technology, Chinese Academy of Sciences(中国科学院计算技术研究所)