Quantification of entanglement and coherence with purity detection

IF 6.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED npj Quantum Information Pub Date : 2024-06-15 DOI:10.1038/s41534-024-00857-2
Ting Zhang, Graeme Smith, John A. Smolin, Lu Liu, Xu-Jie Peng, Qi Zhao, Davide Girolami, Xiongfeng Ma, Xiao Yuan, He Lu
{"title":"Quantification of entanglement and coherence with purity detection","authors":"Ting Zhang, Graeme Smith, John A. Smolin, Lu Liu, Xu-Jie Peng, Qi Zhao, Davide Girolami, Xiongfeng Ma, Xiao Yuan, He Lu","doi":"10.1038/s41534-024-00857-2","DOIUrl":null,"url":null,"abstract":"<p>Entanglement and coherence are fundamental properties of quantum systems, promising to power near-future quantum technologies, such as quantum computation, quantum communication, and quantum metrology. Yet, their quantification, rather than mere detection, generally requires reconstructing the spectrum of quantum states, i.e., experimentally challenging measurement sets that increase exponentially with the system size. Here, we demonstrate quantitative bounds to operationally useful entanglement and coherence that are universally valid, analytically computable, and experimentally friendly. Specifically, our main theoretical results are lower and upper bounds to the coherent information and the relative entropy of coherence in terms of local and global purities of quantum states. To validate our proposal, we experimentally implement two purity detection methods in an optical system: shadow estimation with random measurements and collective measurements on pairs of state copies. The experiment shows that both the coherent information and the relative entropy of coherence of pure and mixed unknown quantum states can be bounded by purity functions. Our research offers an efficient means of verifying large-scale quantum information processing.</p>","PeriodicalId":19212,"journal":{"name":"npj Quantum Information","volume":null,"pages":null},"PeriodicalIF":6.6000,"publicationDate":"2024-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"npj Quantum Information","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1038/s41534-024-00857-2","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
引用次数: 0

Abstract

Entanglement and coherence are fundamental properties of quantum systems, promising to power near-future quantum technologies, such as quantum computation, quantum communication, and quantum metrology. Yet, their quantification, rather than mere detection, generally requires reconstructing the spectrum of quantum states, i.e., experimentally challenging measurement sets that increase exponentially with the system size. Here, we demonstrate quantitative bounds to operationally useful entanglement and coherence that are universally valid, analytically computable, and experimentally friendly. Specifically, our main theoretical results are lower and upper bounds to the coherent information and the relative entropy of coherence in terms of local and global purities of quantum states. To validate our proposal, we experimentally implement two purity detection methods in an optical system: shadow estimation with random measurements and collective measurements on pairs of state copies. The experiment shows that both the coherent information and the relative entropy of coherence of pure and mixed unknown quantum states can be bounded by purity functions. Our research offers an efficient means of verifying large-scale quantum information processing.

Abstract Image

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
利用纯度检测量化纠缠和相干性
纠缠和相干是量子系统的基本特性,有望为量子计算、量子通信和量子计量等近未来量子技术提供动力。然而,对它们的量化,而不仅仅是检测,通常需要重建量子态谱,即具有实验挑战性的测量集,这些测量集随着系统规模的增加而呈指数级增长。在这里,我们展示了对操作有用的纠缠和相干性的定量边界,这些边界普遍有效、可分析计算,而且便于实验。具体来说,我们的主要理论结果是量子态局部和全局纯度的相干信息和相干相对熵的下限和上限。为了验证我们的建议,我们在一个光学系统中实验性地实现了两种纯度检测方法:随机测量的阴影估计和对状态副本的集体测量。实验表明,纯量子态和混合未知量子态的相干信息和相干相对熵都可以用纯度函数来约束。我们的研究为验证大规模量子信息处理提供了有效手段。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
npj Quantum Information
npj Quantum Information Computer Science-Computer Science (miscellaneous)
CiteScore
13.70
自引率
3.90%
发文量
130
审稿时长
29 weeks
期刊介绍: The scope of npj Quantum Information spans across all relevant disciplines, fields, approaches and levels and so considers outstanding work ranging from fundamental research to applications and technologies.
期刊最新文献
Qubit teleportation between a memory-compatible photonic time-bin qubit and a solid-state quantum network node An architecture for two-qubit encoding in neutral ytterbium-171 atoms Data needs and challenges for quantum dot devices automation Extending radiowave frequency detection range with dressed states of solid-state spin ensembles Robust projective measurements through measuring code-inspired observables
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1