Quantum-QuBIC: Topological Quantum Computation

EIA-0130388王正汉印第安纳大学布卢明顿分校标题： 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建立起来的。一个例子是分数量子霍尔效应中准粒子的舞蹈模式。准粒子的舞蹈模式在数学上用辫子来描述。 在这种情况下，准粒子的贝里相给出了辫子的表示。在数学术语中，这些是模函子。这个项目正在使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来设计新的量子算法。拓扑量子计算数值实验室正在建立，作为迈向基于模块函子原理的真实的量子计算机物理实现的中间步骤。在印第安纳州大学组织了一系列讲座和研讨会来培训学生。这个跨学科的项目涉及拓扑学，凝聚态物理学和计算机科学。

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.