Speaker: Prof.Shanqi Pang（He'nan Normal University）

Title: k-uniform quantum states and orthogonal arrays

Time: Sat, Nov.23 2019,AM:11:00-12:00

Location: Room 4141, Building No.4, Wushan Campus

Abstract：

     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.