﻿ 【2022-11-30 17:15】Geometry & Gravitation-求真书院

### 【2022-11-30 17:15】Geometry & Gravitation

A number theory problem arising in quantum information theory

Abstract

A maximal regular simplex inscribed in the set of quantum states has some engineering applications --- if it exists. Attempts to prove that it does, in all finite dimensional Hilbert spaces, have revealed an unexpected connection to an open problem in algebraic number theory. The whole story is quite new, and it it may have ramifications that we have not thought of yet.

Speaker Intro

"My name is Ingemar Bengtsson, and I have been a lecturer at Fysikum in Stockholm since '93 (and a professor since '00). My previous 'career' was at Chalmers, CERN and Imperial College.

The research areas that I like the best usually have something to do with geometry. General relativity is a favourite. Most of my work there is on black holes. My strongest prejudice is that the world has four dimensions; this is the direction in which I look for clues about quantum gravity. Then I work on quantum information theory, since the geometry of the space of quantum states is wonderful and rather mysterious. What I find fascinating about relativity and quantum mechanics---as it happens, the two deepest theories we have---is that their basic equations have been around for a century, and yet they keep springing conceptual surprises on us. I am looking for the next surprise there, but I do keep a weather eye open on other subjects as well."

• ### BIMSA一周学术活动 2022.07.11-2022.07.15

公开课/COURSE讨论班/SEMINARElementary proofs of Zagier's formula for multiple zeta values and its odd variantBIMSA-YMSC Tsinghua Number Theory Seminar报告人 : 赖力 清华大学时 间： 2022-07-12 16:00-17:00 Tue地 点 ：1110Zoom ：361 038 6975（PW: BIMSA）摘要In 2012, Zagier proved a formula which expresses the multiple zeta values \[ H(a, b)=\zeta(\underbrace{2,2, \ldots, 2}_{a}, 3, \underbrace{2,2,...

• ### BIMSA一周学术活动 10.17-10.21

2022-10-17On TQFT representations of mapping class groups with boundaryBIMSA Topology Seminar报告人 明爽 BIMSA时 间 15:30-17:00 Mon地 点 1129BZoom 537 192 5549（PW: BIMSA）摘要In the talk, I would like to outline a skein theoretical construction of Reshetikhin-Turaev-Witten invariants and TQFTs(Topological quantum field theory) by Christian Blanchet, Nathan Habegger, Gregor Masbaum, and Pierre ...