浙江大学第五届研究生国际暑期学校
量子模拟与量子网络复杂性理论的通知
量子科技是21世纪的重要研究领域，浙江大学于2019年2月24日发布了双一流建设的重大举措：创新2030计划，日前启动三个专项计划，其中将量子计划列为第一个。浙江大学量子计划将会聚物理、光电、信电、材料、化学等学科，针对量子信息领域的关键科学问题展开深入研究，在量子计算、量子传感与精密测量、超分辨量子成像、量子光电集成芯片等方面实现重点突破，未来还将探索量子科技应用到生物传感、人工智能、临床医学等领域，打造跨学科的世界一流量子科技创新中心。为此，浙江大学研究生院举办第五届研究生国际暑期学校来讲授量子模拟与量子网络复杂性理论的最新进展。
时间： 2019年7月8日-22日。
地点： 浙江大学玉泉校区欧阳纯美楼 316教室。
讲座教师： LincolnD. Carr 教授。
主讲内容：
Exploring the physical origins ofcomplexity in the quantum world with quantum simulators
Overview and Introduction
· What do wemean by complexity?
· Physical vs.computational complexity
· What are thedistinguishing features of quantum systems in comparison to classical ones?
o Singleparticle vs. many-body semiclassical limits
· Why look inthe quantum world?
· What do meanby a quantum simulator? Briefly overview these
· Statewell-posed physical question motivating for these lectures
Closed quantum systems: from the qubit and quantum logicto many-body quantum complexity
· Build 2x2 and4x4 matrices for closed quantum system to teach entanglement, working fromNielsen and Chuang
· Basic matrixoperations needed for quantum information one small step past usualundergraduate linear algebra course
· Discrete vs.continuum time for digital vs. analog quantum computer
· Describe somebasic gates, concepts of entropy and show how quantum information deviates fromclassical information e.g. second law of thermodynamics
· Build towardlarger system, especially spin chains and Ising model
· Physicaloverview of experimental architectures. Draw on review in progresswith Gong and Kapit
· Example ofJosephson junction (LMG model), spin chain, exciton transport. Work from examplesin Jaschke code papers
· Explain SVDand examine information content. What do we mean by this?
· Concepts ofquantum macroscopicity. Follow complexity talk overview.
· What iscomplexity in this system? Develop mutual information complexnetwork model
· Every studentshould walk being able to use the QuSP package, also able to write a small codeto evolve the 2 qubit problem.
Open quantum systems: from X to Y
· Revisit qubitand Bloch sphere. What does loss of information mean?
· DeriveLindblad equation to replace Schroedinger equation
· Motivate2-level and 3-level open quantum system and work through Jaschke problem set,Shchedrin paper on lambda system. Physical applications of lasingwithout inversion and fast/slow light. Work up to 16x16 matrix.
· Show how tomaintain entanglement with environment -- Kapit idea
· Overviewphotosynthesis problem?
· Otherstandard open quantum system problems?
· Demo resultswith MPDO code and quantum trajectories. Explain thesemethods. Work from Jaschke paper.
Open questions
· End withdetailed list of open questions opening up new lines of research.
报名方式：请完整填写报名表，需要导师或院系领导签名，申请人将电子版发送到联系人邮箱，否则申请不予受理。为保证教学质量，本次讲习班名额限40人，申请人要求有一定量子信息和量子计算基础并做过这方面研究的青年教师和研究生。原则上，只接受没有参加过浙江大学数学学院近6年所举办的量子理论系列讲座的申请。
本暑期学校不收取任何费用，来自于大陆的学员不安排食宿。
联系人武俊德，E-mail: wjd@zju.edu.cn
浙江大学数学科学学院（代章）
2019年5月31日