静5青年讲座 | Randomized Benchmarking Beyond Groups

Randomized Benchmarking Beyond Groups, with Clifford XEB as an Application

报告人

Dr. Linghang Kong

Quantum Laboratory

DAMO Academy

时  间

2023年9月20日 星期三 1:00pm

地  点

静园五院204

Host

李彤阳 助理教授

 Abstract

Randomized benchmarking (RB) is the gold standard for experimentally evaluating the quality of quantum operations. The current framework for RB is centered on groups and their representations but this can be problematic. In this work, we formulate the universal randomized benchmarking (URB) framework, which does away with the group structure. Not only does this framework cover most of the existing benchmarking schemes but it also gives the language for and helps inspire the formulation of new schemes. We specifically consider a class of URB schemes called twirling schemes and prove that under some condition, the probability of measurement as a function of gate length is a single exponential decay up to small error terms. As an application, we investigate the theoretical foundation of the linear XEB, and propose a variant using Clifford circuits, which allows efficient classical post-processing and supports holistic benchmarking of over 1,000 qubits. In addition, we run numerical simulations for the classes of Clifford circuits we propose with noise and observe exponential decays. Our theoretical results explain some of the phenomena observed in the simulations and shed light on the behavior of general linear XEB experiments.

Biography

Dr. Linghang Kong is a research scientist at Quantum Laboratory, DAMO Academy. He received his Ph.D. in physics from MIT under the supervision of Professor Aram Harrow. Before that, he received his bachelor’s degree from the Institute for Interdisciplinary Information Sciences, Tsinghua University. His research interests include quantum computing architecture and quantum error correction.

往 期 讲 座

• 静5前沿讲座回顾 | 贝小辉教授谈广告拍卖中的实践与理论问题

• 静5前沿讲座回顾｜陆品燕教授介绍一价拍卖效率的确定

• 静5青年讲座回顾 | 徐海峰博士谈机器学习中的经济学

• 静5杰出讲座回顾｜叶荫宇教授谈随机Fisher市场中的在线均衡标价问题

—   版权声明  —

本微信公众号所有内容，由北京大学前沿计算研究中心微信自身创作、收集的文字、图片和音视频资料，版权属北京大学前沿计算研究中心微信所有；从公开渠道收集、整理及授权转载的文字、图片和音视频资料，版权属原作者。本公众号内容原作者如不愿意在本号刊登内容，请及时通知本号，予以删除。

点“阅读原文”查看海报