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： Lincoln D. Carr 教授。
主讲内容：
Exploring the physical origins of complexity in the quantum world with quantum simulators
Overview and Introduction
· What do we mean by complexity?
· Physical vs. computational complexity
· What are the distinguishing features of quantum systems in comparison to classical ones?
o Single particle vs. many-body semiclassical limits
· Why look in the quantum world?
· What do mean by a quantum simulator? Briefly overview these
· State well-posed physical question motivating for these lectures
Closed quantum systems: from the qubit and quantum logic to many-body quantum complexity
· Build 2x2 and 4x4 matrices for closed quantum system to teach entanglement, working from Nielsen and Chuang
· Basic matrix operations needed for quantum information one small step past usual undergraduate linear algebra course
· Discrete vs. continuum time for digital vs. analog quantum computer
· Describe some basic gates, concepts of entropy and show how quantum information deviates from classical information e.g. second law of thermodynamics
· Build toward larger system, especially spin chains and Ising model
· Physical overview of experimental architectures. Draw on review in progress with Gong and Kapit
· Example of Josephson junction (LMG model), spin chain, exciton transport. Work from examples in Jaschke code papers
· Explain SVD and examine information content. What do we mean by this?
· Concepts of quantum macroscopicity. Follow complexity talk overview.
· What is complexity in this system? Develop mutual information complex network model
· Every student should walk being able to use the QuSP package, also able to write a small code to evolve the 2 qubit problem.
Open quantum systems: from X to Y
· Revisit qubit and Bloch sphere. What does loss of information mean?
· Derive Lindblad equation to replace Schroedinger equation
· Motivate 2-level and 3-level open quantum system and work through Jaschke problem set, Shchedrin paper on lambda system. Physical applications of lasing without inversion and fast/slow light. Work up to 16x16 matrix.
· Show how to maintain entanglement with environment -- Kapit idea
· Overview photosynthesis problem?
· Other standard open quantum system problems?
· Demo results with MPDO code and quantum trajectories. Explain these methods. Work from Jaschke paper.
Open questions
· End with detailed 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