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四川师范大学 Sichuan Normal University
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Qudit hypergraph states and their properties

2017年09月08日  来源:  浏览:89次
讲座题目:Qudit hypergraph states and their properties
讲座时间:2017/9/9 15:00:00
讲座地点:狮子山校区6教811
主办单位:数学与软件科学学院
主讲人 :熊飞雷 博 士
主讲人简介:
熊飞雷,博士,中国科技大学合肥微尺度物质科学国家实验室。



Abstract: Hypergraph states, a generalization of graph states, constitute a large class of quantum states with intriguing non-local properties and have promising applications in quantum information science and technology. In this paper, we generalize hypergraph states to qudit hypergraph states, i.e., each vertex in the generalized hypergraph (multi-hypergraph) represents a d-level quantum system instead of a qubit. It is shown that multi-hypergraphs and d-level hypergraph states have a one-to-one correspondence. We prove that if one part of a multi-hypergraph is connected with the other part, the corresponding subsystems are entangled. More generally, the structure of a multi-hypergraph reveals the entanglement property of the corresponding quantum state. Furthermore, we discuss their relationship with some well-known state classes, e.g., real equally weighted states and stabilizer states. These states'' responses to the generalized Z (X) operations and Z (X) measurements are studied. Bell non-locality, an important resource in fulfilling quantum information tasks, is also investigated.