Positivity and Sum-of-squares in Quantum Information
10:00-11:30
Talk & Lecture
1
2828601
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2023-11-20
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Speaker: Yuming Zhao (Institute for Quantum Computing and the Department of Pure Mathematics, University of Waterloo, Canada)Location: Dingding Group "2023-Autumn Quantum Theory Group"Abstract: A multivariate polynomial is said to be positive if it takes only non-negative values over reals. Hilbert's 17th problem concerns whether every positive polynomial can be expressed as a sum of squares of other polynomials. In general, we say a noncommutative polynomial is positive (resp. matrix positive) if plugging operators (resp. matrices) always yields a positive operator. Many problems in math and computer science are closely connected to deciding whether a given polynomial is positive and finding certificates (e.g., sum-of-squares) of positivity.In the study of nonlocal games in quantum information, we are interested in tensor product of free algebras. Such an algebra models a physical system with two spatially separated subsystems, where in each subsystem we can make different quantum measurements. The recent and remarkable MIP*=RE result shows that it is undecidable to determine whether a polynomial in a tensor product of free algebras is matrix positive. In this talk, I'll present joint work with Arthur Mehta and William Slofstra, in which we show that it is undecidable to determine positivity in tensor product of free algebras. As a consequence, there is no sum-of-square certificate for positivity in such algebras. I will also discuss relevant topics including self-testing of quantum systems and delegation of quantum computation.Profile of the speaker: Yuming Zhao is a Ph.D. candidate in the Institute for Quantum Computing and the Department of Pure Mathematics at the University of Waterloo, supervised by William Slofstra. Previously, he received his bachelor's degree in Mathematics and Applied Mathematics from Zhejiang University in 2019, under the supervision of Junde Wu. He is broadly interested in the mathematics of quantum information and computation. Recent areas of study include quantum self-testing, delegation of quantum computation, complexity theory in operator algebras, and approximate representation theory.Contact person: Junde Wu (wjd@zju.edu.cn)
In this talk, I'll present joint work with Arthur Mehta and William Slofstra, in which we show that it is undecidable to determine positivity in tensor product of free algebras.
2023-11-28 10:00:00
Online
V(D)J recombination and Limitless Antigen Receptors
16:00
Talk & Lecture
2
2828581
/english/2023/1120/c19936a2828581/page.psp
2023-11-20
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Speaker: Prof. YANG WeiHost: Prof. LI LeiVenue: Zijingang Hall, Alumni Building, Zijingang CampusProfile of the speaker: Professor Wei Yang received her doctorate degree from Columbia University in 1991. Her postdoctoral training was at Yale University with Dr. Thomas A. Steitzat, Department of Biochemistry and Molecular Biophysics. She joined the NIH in 1995 as an independent Investigator and currently holds the Distinguished Investigator position in the Laboratory of Molecular Biology, NIDDK, NIH.Dr. Yang was elected a Member of National Academy of Sciences (NAS) in 2013 and Fellow of American Academy of Arts and Sciences (AAAS) in 2015. Among the many prestigious awards, she is the recipient of the Bea Singer Young Investigator Award (GRC, 2002), the Dorothy Crowfoot Hodgkin award (The Protein Society, 2011), and Mildred Cohn Award in Biological Chemistry (ASBMB, 2017). She also held adjunct Professorship at Johns Hopkins University.Her research interests include Mechanisms of DNA repair, replication and recombination, macromolecular assemblies, structure and enzyme catalysis, ATP in molecular motion, recognition and signaling.
Prof. Yang was elected a Member of National Academy of Sciences (NAS) in 2013 and Fellow of American Academy of Arts and Sciences (AAAS) in 2015.
2023-11-23 16:00:00
Zijingang Hall, Alumni Building, Zijingang Campus
The Brown measure of a sum of two free random variables, one of which is R-diagonal
9:00-12:00
Talk & Lecture
3
2825776
/english/2023/1113/c19936a2825776/page.psp
2023-11-13
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Speaker: Prof. ZHONG Ping (University of Wyoming)Venue: Online (Tencent Meeting ID: 974-516-332)Abstract:In the 1980s, L. Brown introduced an analogue of eigenvalue distribution of a square matrix in the framework of operator algebras, now called Brown measure. The Brown measure is a fascinating object that has successful applications in operator algebras and non-Hermitian random matrix theory. The Brown measures of random variables in free probability theory can often predict the limiting eigenvalue distributions of non-Hermitian random matrices.I will speak on joint work with Hari Bercovici on the Brown measure of a sum of two free random variables, one of which is R-diagonal. This answers an open question of Biane and Lehner posed in early 2000s. It is shown that subordination functions that appear in the study of free additive convolution can detect some information about the Brown measure. In many cases, this leads to an explicit calculation of Brown measures. Some ideas were used implicitly in earlier works of Dykema, Haagerup and Schultz. In another joint work with Ching-Wei Ho, we prove that the Brown measure is the limiting eigenvalue distribution of a full rank perturbation of the single ring random matrix model under some mild assumptions.Contact person: Prof. LIU Weihua (lwh.math@zju.edu.cn)
I will speak on joint work with Hari Bercovici on the Brown measure of a sum of two free random variables, one of which is R-diagonal.
2023-11-17 09:00:00
Online
Theta correspondence and simple factors of global Arthur parameters
16:00-17:00
Talk & Lecture
4
2825754
/english/2023/1113/c19936a2825754/page.psp
2023-11-13
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Speaker: Dr. Chenyan Wu (The University of Melbourne)Venue: Lecture Hall, East Building 7, Zijingang CampusAbstract: Let $\pi$ be a cuspidal automorphic representation of a classical group or a metaplectic group. We show an exact relation between two invariants associated to $\pi$, one called the lowest occurrence index of $\pi$ which is an invariant arising from theta lifts and the other the location of the maximal positive pole of an Eisenstein series attached to $\pi$. As an application, we use this relation to show that certain global Arthur packets cannot contain cuspidal automorphic representations.
We show an exact relation between two invariants associated to $\pi$, one called the lowest occurrence index of $\pi$ which is an invariant arising from theta lifts and the other the location of the maximal positive pole of an Eisenstein series attached to $\pi$.
2023-11-15 16:00:00
Lecture Hall, East Building 7, Zijingang Campus
Why are manuscripts rejected at Academy of Management Review (AMR)? An informal conversation with an AMR Associate Editor
9:30
Talk & Lecture
5
2825744
/english/2023/1113/c19936a2825744/page.psp
2023-11-13
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Speaker: Chak Fu Lam, Associate Editor of AMRHost: Prof. HU QiongjingVenue: Room 723, Building A, School of Management, Zijingang CampusAbstract: Join us for a conversation with Chak Fu Lam, who will provide an overview of what he believes is the primary cause of manuscript rejection at AMR. He will also offer insights on enhancing the prospects of receiving an R&R. Following a brief and interactive presentation, Chak Fu will address any inquiries and questions you may have pertaining to publishing in AMR.Profile of the speaker: Chak Fu Lam is an Associate Professor of Management at City University of Hong Kong. His research examines employee voice behavior, including why employees speak up and how managers respond to employee voice, and what makes employee voice sustainable over time. He has published research in Academy of Management Annals, Academy of Management Review, Journal of Applied Psychology, Journal of Management, and Personnel Psychology. In 2021, he was one of five reviewers to be awarded the title of Best Editorial Reviewer for his service to the Journal of Applied Psychology.Note: Please scan the QR code below to register.
Join us for a conversation with Chak Fu Lam, who will provide an overview of what he believes is the primary cause of manuscript rejection at AMR.
2023-11-17 09:30:00
Room 723, Building A, School of Management, Zijingang Campus
The Dynamics of Global Capital Markets
16:00 - 17:30
Talk & Lecture
6
2825857
/english/2023/1113/c19936a2825857/page.psp
2023-11-10
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Registration: Please scan the QR code below to register.Live Stream: You can also watch the livestream in ZIBS WeChat Channels. Please click the link for more information: https://mp.weixin.qq.com/s/IhchLUGvg6BSCVzMQZhulw.
ZIBS Global Leaders Series will feature Greg Guyett, CEO of Global Banking & Markets at HSBC, and ZIBS Dean Ben Shenglin, who will share insights on the dynamics of global capital markets.
2023-11-15 16:00:00
Both online and offline
Reflections on my scientific career devoted to exploring the quantum world with light
14:30-16:00
Talk & Lecture
7
2823472
/english/2023/1107/c19936a2823472/page.psp
2023-11-07
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Speaker: Prof. Dr. Serge Haroche (the winner of the 2012 Nobel Prize in Physics)Host: Prof. LIN Haiqing (Dean, School of Physics)Venue: Qiushi Great Hall, Zijingang CampusAbstract: In his spontaneous exchange with students and researchers at Zhejiang University, Prof. Dr. Serge Haroche will talk about how his vocation as a physics researcher came about. He will then share his fascination with the research in atomic physics and optics. After that, he will delve into the contributions of the great scientists. He will show that the history of light illustrates the essential aspects of the scientific method. Finally, he will talk about recent advances in the science of light, and the progress of instruments that use light to explore matter and the universe with ever greater precision.Registration: The number of participants is limited to 200. Please scan the QR code below to register before 18:00 on Nov. 8. If the number of applicants is beyond the capacity, the organisers will do a random screening. Students will receive a confirmation text message for the success of the registration.Note: Five copies of Professor Haroche's new book Exploring the Light from Galileo to Quantum Physics (Chinese version) are prepared as gifts for active participants.
Prof. Dr. Serge Haroche is the winner of the 2012 Nobel Prize in Physics. In his spontaneous exchange with students and researchers at Zhejiang University, he will talk about how his vocation as a physics researcher came about.
2023-11-10 14:30:00
Qiushi Great Hall, Zijingang Campus
Supramolecular Assemblies and Systems Based on Pillar-Shaped Macrocyclic Compounds "Pillar[n]arenes"
14:30
Talk & Lecture
8
2823004
/english/2023/1106/c19936a2823004/page.psp
2023-11-06
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Speaker: Prof. Tomoki Ogoshi (Kyoto University)Venue: C210, Building 5, Haina Court, Zijingang Campus
Prof. Tomoki Ogoshi has been a professor at Kyoto University since 2019. His group is involved in the development of macrocyclic compounds "Pillar[n]arenes".
2023-11-10 14:30:00
C210, Building 5, Haina Court, Zijingang Campus
Convergence analysis on the particle systems with centralized control
14:00
Talk & Lecture
9
2822656
/english/2023/1105/c19936a2822656/page.psp
2023-11-05
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Speaker: Prof. Chao Zhou (National University of Singapore)Venue: Room 203, Building 2, Haina Court, Zijingang CampusAbstract: This paper deals with the optimization problem of a class of controlled N-particle systems. We establish the regularity results, which is uniform in N , on the HJB equations corresponding to the N-particle system. The uniform regularity results are obtained by the stochastic maximum principle and the analysis on a Riccati type BSDE. Using the uniform regularity results, we show the convergence of value function and optimal control as the number N of particles tends to infinity, where the convergence rates are also given. This is based on a joint work with Huafu Liao, Alpar Meszaros and Chenchen Mou.Contact person: Prof. ZHANG Rongmao (rmzhang@zju.edu.cn)
This paper deals with the optimization problem of a class of controlled N-particle systems.
2023-11-08 14:00:00
Room 203, Building 2, Haina Court, Zijingang Campus