超导处理器中图顶点的非阿贝尔编织
量子物理
2023-06-02 v2 介观与纳米尺度物理
其他凝聚态物理
摘要
粒子的不可区分性是量子力学的基本原理。对于迄今观察到的所有基本粒子和准粒子——包括费米子、玻色子和阿贝尔任意子——该原理保证全同粒子的编织使系统保持不变。然而，在二维空间中，存在一种引人入胜的可能性：非阿贝尔任意子的编织会在拓扑简并波函数的空间中引起旋转。因此，它可以在不违反不可区分性原理的情况下改变系统的可观测量。尽管非阿贝尔任意子的数学描述已相当完善且存在大量理论方案，但几十年来其交换统计的实验观测一直难以实现。量子处理器上生成的可控多体量子态为探索这些基本现象提供了另一条途径。虽然传统固态平台上的努力通常涉及准粒子的哈密顿量动力学，但超导量子处理器允许通过酉门直接操控多体波函数。基于稳定子码可承载投影非阿贝尔 Ising 任意子的预言，我们实现了一个广义稳定子码和酉协议来创建并编织它们。这使我们能够通过实验验证任意子的融合规则并编织它们以实现其统计。我们随后研究了利用这些任意子进行量子计算的前景，并利用编织创建了编码三个逻辑量子比特的任意子纠缠态。我们的工作为非阿贝尔编织提供了新的见解，并且——通过未来引入纠错以实现拓扑保护——可能为容错量子计算开辟一条道路。
引用
@article{arxiv.2210.10255,
title = {Non-Abelian braiding of graph vertices in a superconducting processor},
author = {Trond I. Andersen and Yuri D. Lensky and Kostyantyn Kechedzhi and Ilya Drozdov and Andreas Bengtsson and Sabrina Hong and Alexis Morvan and Xiao Mi and Alex Opremcak and Rajeev Acharya and Richard Allen and Markus Ansmann and Frank Arute and Kunal Arya and Abraham Asfaw and Juan Atalaya and Ryan Babbush and Dave Bacon and Joseph C. Bardin and Gina Bortoli and Alexandre Bourassa and Jenna Bovaird and Leon Brill and Michael Broughton and Bob B. Buckley and David A. Buell and Tim Burger and Brian Burkett and Nicholas Bushnell and Zijun Chen and Ben Chiaro and Desmond Chik and Charina Chou and Josh Cogan and Roberto Collins and Paul Conner and William Courtney and Alexander L. Crook and Ben Curtin and Dripto M. Debroy and Alexander Del Toro Barba and Sean Demura and Andrew Dunsworth and Daniel Eppens and Catherine Erickson and Lara Faoro and Edward Farhi and Reza Fatemi and Vinicius S. Ferreira and Leslie Flores Burgos and Ebrahim Forati and Austin G. Fowler and Brooks Foxen and William Giang and Craig Gidney and Dar Gilboa and Marissa Giustina and Raja Gosula and Alejandro Grajales Dau and Jonathan A. Gross and Steve Habegger and Michael C. Hamilton and Monica Hansen and Matthew P. Harrigan and Sean D. Harrington and Paula Heu and Jeremy Hilton and Markus R. Hoffmann and Trent Huang and Ashley Huff and William J. Huggins and Lev B. Ioffe and Sergei V. Isakov and Justin Iveland and Evan Jeffrey and Zhang Jiang and Cody Jones and Pavol Juhas and Dvir Kafri and Tanuj Khattar and Mostafa Khezri and Mária Kieferová and Seon Kim and Alexei Kitaev and Paul V. Klimov and Andrey R. Klots and Alexander N. Korotkov and Fedor Kostritsa and John Mark Kreikebaum and David Landhuis and Pavel Laptev and Kim-Ming Lau and Lily Laws and Joonho Lee and Kenny Lee and Brian J. Lester and Alexander Lill and Wayne Liu and Aditya Locharla and Erik Lucero and Fionn D. Malone and Orion Martin and Jarrod R. McClean and Trevor McCourt and Matt McEwen and Kevin C. Miao and Amanda Mieszala and Masoud Mohseni and Shirin Montazeri and Emily Mount and Ramis Movassagh and Wojciech Mruczkiewicz and Ofer Naaman and Matthew Neeley and Charles Neill and Ani Nersisyan and Michael Newman and Jiun How Ng and Anthony Nguyen and Murray Nguyen and Murphy Yuezhen Niu and Thomas E. O'Brien and Seun Omonije and Andre Petukhov and Rebecca Potter and Leonid P. Pryadko and Chris Quintana and Charles Rocque and Nicholas C. Rubin and Negar Saei and Daniel Sank and Kannan Sankaragomathi and Kevin J. Satzinger and Henry F. Schurkus and Christopher Schuster and Michael J. Shearn and Aaron Shorter and Noah Shutty and Vladimir Shvarts and Jindra Skruzny and W. Clarke Smith and Rolando Somma and George Sterling and Doug Strain and Marco Szalay and Alfredo Torres and Guifre Vidal and Benjamin Villalonga and Catherine Vollgraff Heidweiller and Theodore White and Bryan W. K. Woo and Cheng Xing and Z. Jamie Yao and Ping Yeh and Juhwan Yoo and Grayson Young and Adam Zalcman and Yaxing Zhang and Ningfeng Zhu and Nicholas Zobrist and Hartmut Neven and Sergio Boixo and Anthony Megrant and Julian Kelly and Yu Chen and Vadim Smelyanskiy and Eun-Ah Kim and Igor Aleiner and Pedram Roushan},
journal= {arXiv preprint arXiv:2210.10255},
year = {2023}
}