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BIMSA Digital Economy Lab Seminar
BIMSA Digital Economy Lab Seminar
Quantum algebras and Quantum strategies
Quantum algebras and Quantum strategies
Organizers
Johansson Anders
,
Manyao Deng
,
Ruize Gao
,
Liyan Han
,
Zhen Li
,
Jin Liu
,
Fei Long
,
Dongbo Shi
,
Ke Tang
,
Xing Yan
,
Qi Zhang
Speaker
Time
Friday, September 11, 2026 3:00 PM - 4:00 PM
Venue
A3-2-303
Online
Zoom 242 742 6089
(BIMSA)
Abstract
In the first part of this talk, I would like to discuss the structures and representations of Yangian and the Ding-Iohara-Miki algebra. We first introduce the Hopf algebra structures of the Yangian $Y(\mathfrak{gl}_N)$ and the DIM algebra $U_t(qW_{1+\infty})$. For the Yangian, we give its action on the Fock space via the Uglov bilinear form; for the DIM algebra, we give its one-body and N-body representations via the Miki automorphism. In the second part of this talk, I would like to introduce some studies of quantum strategies. In classical game theory, strategies are divided into pure strategies (deterministic) and mixed strategies (probabilistic). Using a simple two-player zero-sum game as an example, we introduce how quantum strategies can improve the expected payoff and explain the connection between this and efficient quantum algorithms.