物质的测量诱导相需要反馈

IF 11 Q1 PHYSICS, APPLIED
Aaron J. Friedman, Oliver Hart, Rahul Nandkishore
{"title":"物质的测量诱导相需要反馈","authors":"Aaron J. Friedman, Oliver Hart, Rahul Nandkishore","doi":"10.1103/prxquantum.4.040309","DOIUrl":null,"url":null,"abstract":"We explore universality and phases of matter in hybrid quantum dynamics combining chaotic time evolution and projective measurements. We develop a unitary representation of measurements based on the Stinespring theorem, which we crucially identify with the time evolution of the system and measurement apparatus, affording significant technical advantages and conceptual insight into hybrid dynamics. We diagnose spectral properties in the presence of measurements for the first time, along with standard, experimentally tractable probes of phase structure, finding no nontrivial effects due to measurements in the absence of feedback. We also establish that nonlinearity in the density matrix is neither sufficient nor necessary to see a transition, and instead identify utilization of the measurement outcomes (i.e., “feedback”) as the crucial ingredient. After reviewing the definition of a phase of matter, we identify nontrivial orders in adaptive hybrid dynamics—in which measurement outcomes determine future unitary gates—finding a genuine measurement-induced absorbing-state phase transition in an adaptive quantum East model. In general, we find that only deterministic and constrained Haar-random dynamics with active feedback and without continuous symmetries can realize genuine, measurement-induced phases of matter.2 MoreReceived 31 October 2022Revised 28 May 2023Accepted 18 September 2023DOI:https://doi.org/10.1103/PRXQuantum.4.040309Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasDynamical phase transitionsNonequilibrium statistical mechanicsQuantum chaosQuantum entanglementQuantum feedbackQuantum measurementsPhysical Systems1-dimensional spin chainsFloquet systemsQuantum spin modelsTechniquesQuantum spin chainsAtomic, Molecular & OpticalCondensed Matter, Materials & Applied PhysicsQuantum Information, Science & TechnologyStatistical Physics & Thermodynamics","PeriodicalId":74587,"journal":{"name":"PRX quantum : a Physical Review journal","volume":"63 1","pages":"0"},"PeriodicalIF":11.0000,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Measurement-Induced Phases of Matter Require Feedback\",\"authors\":\"Aaron J. Friedman, Oliver Hart, Rahul Nandkishore\",\"doi\":\"10.1103/prxquantum.4.040309\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We explore universality and phases of matter in hybrid quantum dynamics combining chaotic time evolution and projective measurements. We develop a unitary representation of measurements based on the Stinespring theorem, which we crucially identify with the time evolution of the system and measurement apparatus, affording significant technical advantages and conceptual insight into hybrid dynamics. We diagnose spectral properties in the presence of measurements for the first time, along with standard, experimentally tractable probes of phase structure, finding no nontrivial effects due to measurements in the absence of feedback. We also establish that nonlinearity in the density matrix is neither sufficient nor necessary to see a transition, and instead identify utilization of the measurement outcomes (i.e., “feedback”) as the crucial ingredient. After reviewing the definition of a phase of matter, we identify nontrivial orders in adaptive hybrid dynamics—in which measurement outcomes determine future unitary gates—finding a genuine measurement-induced absorbing-state phase transition in an adaptive quantum East model. In general, we find that only deterministic and constrained Haar-random dynamics with active feedback and without continuous symmetries can realize genuine, measurement-induced phases of matter.2 MoreReceived 31 October 2022Revised 28 May 2023Accepted 18 September 2023DOI:https://doi.org/10.1103/PRXQuantum.4.040309Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasDynamical phase transitionsNonequilibrium statistical mechanicsQuantum chaosQuantum entanglementQuantum feedbackQuantum measurementsPhysical Systems1-dimensional spin chainsFloquet systemsQuantum spin modelsTechniquesQuantum spin chainsAtomic, Molecular & OpticalCondensed Matter, Materials & Applied PhysicsQuantum Information, Science & TechnologyStatistical Physics & Thermodynamics\",\"PeriodicalId\":74587,\"journal\":{\"name\":\"PRX quantum : a Physical Review journal\",\"volume\":\"63 1\",\"pages\":\"0\"},\"PeriodicalIF\":11.0000,\"publicationDate\":\"2023-10-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"PRX quantum : a Physical Review journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1103/prxquantum.4.040309\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"PRX quantum : a Physical Review journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1103/prxquantum.4.040309","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
引用次数: 2

摘要

我们在结合混沌时间演化和射影测量的混合量子动力学中探索物质的普遍性和相。我们基于stinspring定理开发了测量的统一表示,这与系统和测量仪器的时间演变至关重要,为混合动力学提供了显着的技术优势和概念洞察力。我们首次在测量存在的情况下诊断光谱特性,以及标准的,实验可处理的相结构探针,发现由于没有反馈的测量而没有非平凡的影响。我们还确定,密度矩阵中的非线性既不充分也不必要看到过渡,而是确定测量结果的利用(即“反馈”)作为关键因素。在回顾了物质相的定义之后,我们确定了自适应混合动力学中的非平凡顺序-其中测量结果决定了未来的单一门-在自适应量子East模型中发现了真正的测量诱导的吸收态相变。一般来说,我们发现只有具有主动反馈且没有连续对称性的确定性约束haar随机动力学才能实现真正的、测量诱导的物质相根据知识共享署名4.0国际许可协议,美国物理学会于2023年9月18日接受doi:https://doi.org/10.1103/PRXQuantum.4.040309Published。这项工作的进一步分发必须保持作者的归属和已发表文章的标题,期刊引用和DOI。发表于美国物理学会物理学科标题(PhySH)研究领域动态相变非平衡统计力学量子混沌量子纠缠量子反馈量子测量物理系统一维自旋链floquet系统量子自旋模型技术量子自旋链原子,分子与光学凝聚态,材料与应用物理量子信息,科学与技术统计物理与热力学
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Measurement-Induced Phases of Matter Require Feedback

Measurement-Induced Phases of Matter Require Feedback
We explore universality and phases of matter in hybrid quantum dynamics combining chaotic time evolution and projective measurements. We develop a unitary representation of measurements based on the Stinespring theorem, which we crucially identify with the time evolution of the system and measurement apparatus, affording significant technical advantages and conceptual insight into hybrid dynamics. We diagnose spectral properties in the presence of measurements for the first time, along with standard, experimentally tractable probes of phase structure, finding no nontrivial effects due to measurements in the absence of feedback. We also establish that nonlinearity in the density matrix is neither sufficient nor necessary to see a transition, and instead identify utilization of the measurement outcomes (i.e., “feedback”) as the crucial ingredient. After reviewing the definition of a phase of matter, we identify nontrivial orders in adaptive hybrid dynamics—in which measurement outcomes determine future unitary gates—finding a genuine measurement-induced absorbing-state phase transition in an adaptive quantum East model. In general, we find that only deterministic and constrained Haar-random dynamics with active feedback and without continuous symmetries can realize genuine, measurement-induced phases of matter.2 MoreReceived 31 October 2022Revised 28 May 2023Accepted 18 September 2023DOI:https://doi.org/10.1103/PRXQuantum.4.040309Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasDynamical phase transitionsNonequilibrium statistical mechanicsQuantum chaosQuantum entanglementQuantum feedbackQuantum measurementsPhysical Systems1-dimensional spin chainsFloquet systemsQuantum spin modelsTechniquesQuantum spin chainsAtomic, Molecular & OpticalCondensed Matter, Materials & Applied PhysicsQuantum Information, Science & TechnologyStatistical Physics & Thermodynamics
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
CiteScore
14.60
自引率
0.00%
发文量
0
×
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
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
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 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信