Quantum Mathematics and Computation

量子数学与计算

• 批准号: EP/K015478/1
• 负责人: Samson Abramsky
• 金额: $ 119.18万
• 依托单位: University of Oxford
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2013
• 资助国家: 英国
• 起止时间: 2013 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FK015478%2F1
• 关键词: Quantum; Mathematics; Computation

The Centre for Quantum Mathematics and Computation will integrate expertise in the Oxford Computer Science and Mathematics departments to tackle the fundamental problem of understanding the mathematical and computational nature of quantum phenomena. Through a distributed research agenda, we will develop a new geometrical language unifying diagrammatic methods in algebraic topology and quantum representation theory with graphical techniques from quantum computation, computational linguistics, and software and hardware design. This language will natively encode the fundamentally continuous, topological nature of the structures arising in these areas, enabling unprecedented advances of both a theoretical and practical kind.This research effort will be organised into four cross-disciplinary strands, and the research projects of the Centre will address such fundamental problems as the flow of information in quantum protocols, the design of natural language processing platforms, the automated analysis of large unstructured data sets, and the classification of quantum field theories. The resulting integration of knowledge and methods has the potential to transform the practice of computer science and mathematics.This ambitious, integrated research agenda will be achieved by uniting a robust group of researchers spanning the disciplines of the Centre, and by enabling its members to actively engage with the broader scientific community.

量子数学和计算中心将整合牛津大学计算机科学和数学系的专业知识，以解决理解量子现象的数学和计算性质的基本问题。通过分布式研究议程，我们将开发一种新的几何语言，将代数拓扑和量子表示理论中的图解方法与量子计算，计算语言学以及软件和硬件设计的图形技术统一起来。该语言将对这些领域中出现的结构的基本连续性和拓扑性质进行编码，从而在理论和实践方面实现前所未有的进步。这项研究工作将分为四个跨学科领域，中心的研究项目将解决量子协议中的信息流，自然语言处理平台的设计，大型非结构化数据集的自动分析，以及量子场论的分类。由此产生的知识和方法的整合有可能改变计算机科学和数学的实践。这一雄心勃勃的综合研究议程将通过团结该中心各个学科的强大研究人员团队并使其成员能够积极参与来实现与更广泛的科学界。

项目成果

Conformal nets I: coordinate-free nets

• DOI: 10.1093/imrn/rnu080
• 发表时间: 2013-02
• 期刊: arXiv: Operator Algebras
• 作者: A. Bartels;Christopher L. Douglas;A. Henriques

Possibilities Determine the Combinatorial Structure of Probability Polytopes

• DOI: 10.1016/j.jmp.2016.03.006
• 发表时间: 2016-03
• 期刊: ArXiv
• 作者: S. Abramsky;Rui Soares Barbosa;K. Kishida;Raymond Lal;Shane Mansfield

Contextuality from Quantum Physics to Psychology

从量子物理学到心理学的语境

• DOI: 10.1142/9789814730617_0002
• 发表时间: 2016
• 作者: Abramsky S

Dualizability and Index of Subfactors

对偶性和子因素指数

• 发表时间: 2014
• 期刊: Quantum Topology
• 影响因子: 1.1
• 作者: Arthur Bartles;Christopher L Douglas;Andre Henriques
• 通讯作者: Andre Henriques

Conformal nets II: conformal blocks

共形网络 II：共形块

• DOI: 10.48550/arxiv.1409.8672
• 发表时间: 2014
• 期刊: arXiv e-prints
• 作者: Bartels Arthur