Quantum-QuBIC: Topological Quantum Computation

Quantum-QuBIC：拓扑量子计算

• 批准号: 0130388
• 负责人: Zhenghan Wang
• 金额: $ 40万
• 依托单位: Indiana University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-09-15 至 2006-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0130388&HistoricalAwards=false
• 关键词: Quantum; QuBIC; Topological; Computation

EIA-0130388Zhenghan WangIndiana University BloomingtonTitle: Topological Quantum ComputationThe theory of quantum computation is being constructed from abstract study of topological properties of collective electron systems. One example is the dancing pattern of quasi-particles in fractional Quantum Hall effects. The dancing patterns of quasi-particles are described mathematically by braids. In this context, the Berry phase of the quasi-particles gives rise representations of braids. In mathematical terms, these are modular functors.This project is using insights from modular functors to investigate the possibilities for physical realization of quantum computers. The chief advantage of topological quantum computation is physical error correction. The rich mathematical structure of modular functors is also employed to design new quantum algorithms. Topological Quantum Computation Numerical Laboratory is being established as an intermediate step towards the physical implementation of a real quantum computer based on the principles of modular functors. A lecture and seminar series at Indiana University is organized to training students. This cross-disciplinary project involves topology, condensed matter physics, and computer science.

王正汉印第安纳大学布鲁明顿分校题目：拓扑量子计算量子计算理论是从对集体电子系统拓扑性质的抽象研究中构建起来的。一个例子是分数量子霍尔效应中准粒子的舞蹈模式。准粒子的舞蹈模式是用辫子来描述的。在这种情况下，准粒子的贝里相产生辫状结构。用数学术语来说，这些是模函子。该项目利用模函子的见解来研究量子计算机物理实现的可能性。拓扑量子计算的主要优点是物理纠错。模函子丰富的数学结构也被用于设计新的量子算法。拓扑量子计算数值实验室的建立是迈向基于模函子原理的真正量子计算机物理实现的中间步骤。印第安纳大学组织了一系列讲座和研讨会来培训学生。这个跨学科项目涉及拓扑学、凝聚态物理和计算机科学。