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报告题目：k-uniform quantum states and orthogonal arrays

报   告 人：庞善起 教授(河南师范大学)

报告时间：2019年11月23日（星期六）上午11:00-12:00                   

报告地点：4号楼141室

邀   请 人：郑驻军 教授

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数学学院

2019年 11 月22 日

报告摘要：

A pure quantum state of N subsystems, each with d levels, is said to be k-uniform if all of its reductions to k qudits are maximally mixed. There is a close relation between pure quantum state and orthogonal array (OA). When the Hamming distances of OAs are applied to the theory of quantum information, by using difference schemes and orthogonal partitions, we can construct a series of infinite classes of irredundant orthogonal arrays (IrOAs), then answer the open questions of whether there exist 3-uniform states of N qubits and 2-uniform states of N qutrits, and whether 3-uniform states of qudits (d > 2) for high values of N can be explicitly constructed.