Affiliation of Author(s):理学院

Journal:QUANTUM INFORMATION PROCESSING

Key Words:Positive operator-valued measurement Quantum information theory Multiplicative character Character sum

Abstract:In quantum information theory, symmetric informationally complete positive operator-valued measures (SIC-POVMs) are relevant to quantum state tomography [8], quantum cryptography [15], and foundational studies [16]. In general, it is hard to construct SIC-POVMs and only a few classes of them existed, as we know. Moreover, we do not know whether there exists an infinite class of them. Many researchers tried to construct approximately symmetric informationally complete positive operator-valued measures (ASIC-POVMs). In this paper, we propose two new constructions of ASIC-POVMs for prime power dimensions only by using multiplicative characters over finite fields.

ISSN No.:1570-0755

Translation or Not:no

Date of Publication:2017-12-01

Co-author:Luo, Gaojun

Correspondence Author:cxw