PPT-Topological Quantum Computation with Gapped Boundaries

Iris Cong Dept of Computer Science UCLA Jointly authored with Prof Zhenghan Wang advisor and Meng Cheng arXiv160902037 Contents Introduction Part I Hamiltonian Realization Part II Algebraic Theory. for Quantum Computers. June 16, 2014. Al Aho. aho@cs.columbia.edu. A Compiler Writer Looks at Quantum Computation. Why is there so much excitement about quantum computation?. Computational thinking . and Beyond. Kai. . Sun. University . of Maryland, College Park. Outline. Topological state of matter. Topological nontrivial structure and topological index. Anomalous quantum Hall state and the . Chern. in a collaboration between the PFC at JQI . and . CalTech. have . shown that it may be possible to take a conventional semiconductor and endow it with topological properties without subjecting the material to extreme environmental conditions or fundamentally changing its solid state structure. . Superconductors. Akira . Furusaki. 2012/2/8. 1. YIPQS Symposium. Condensed matter physics. Diversity of materials. Understand their properties. Find. new states of matter. Emergent behavior of electron systems at low energy. Weisong. . Tu. Department of Physics and Astronomy. University of Tennessee. Instructor: Dr. . George . Siopsis. Introduction. Quantum Hall Effect. The quantum Hall effect is a quantum-mechanical version of the Hall effect, observed in two-dimensional electron systems subjected to low temperatures and strong magnetic fields. In the quantum hall effect, and the conductivity can be represented as. Michael Freedman. April 23, 2009. Parsa Bonderson. Adrian Feiguin. Matthew Fisher. Michael Freedman. Matthew Hastings. Ribhu Kaul. Scott Morrison. Chetan Nayak. Simon Trebst. Kevin Walker. Zhenghan Wang. Analysis . of the Topological Entanglement . Entropy. and Multipartite correlations. Kohtaro Kato (. The . University of . Tokyo). based on . PRA, 93, 022317 (2016). joint work with. Fabian Furrer (. 组员：马润泽 金佳霖 孙晋茹 宋化鼎 罗巍 申攀攀 沈齐欣 生冀明 刘易. Outline. Introduction. Brief history of topological insulators. Band theory. Quantum Hall effect. Superconducting proximity effect. $$ NSF, AFOSR MURI, DARPA, ARO. Harvard-MIT. Takuya Kitagawa, . Erez. Berg, Mark Rudner. Eugene . Demler. . Harvard University. Also collaboration with A. White’s group, Univ. of Queensland. . and. . Topological. . phases. . of. matter. b. y. Reichmann Alexander. Overview. Phase . transitions. Topology. Quantum Hall . effect. Superconductivity. Applications. Phase . transition. Different . ECE 580. 12. Graph Theory, Topological Analysis - Terms. Topological Analysis: General, systematic, suited for CAD. Graph. : Nodes and directed branches, describes the topology of the circuit, ref. direction. Helps visualize CAD. Graph Traversals. Spring 2015. Yanling He. Graphs. A Graph G = (V, E). Represents relationships among items. Can be directed or undirected. Complexity is O(|E|+|V|) is O(|V|^2). Graph Data Structure. Cwith topologists 147I don146t think like a mathema-tician148 admits Kane a theoretical physicist who has tended to focus on tangible problems about solid materials He is not alone Physicists have typ Topological methods and cortical thickness. Chung et al., 2009 discovered differences in cortical thickness comparing individuals with autism to controls using topology. Work flow. Visualization of persistence plot.