曹喜望

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教授 博士生导师

招生学科专业:
数学 -- 【招收博士、硕士研究生】 -- 数学学院

性别:男

学历:北京大学

学位:理学博士学位

所在单位:理学院

联系方式:http://faculty.nuaa.edu.cn/cxw1/zh_CN/index.htm

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Two new constructions of approximately SIC-POVMs from multiplicative characters

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所属单位:理学院

发表刊物:QUANTUM INFORMATION PROCESSING

关键字:Positive operator-valued measurement Quantum information theory Multiplicative character Character sum

摘要: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号:1570-0755

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发表时间:2017-12-01

合写作者:Luo, Gaojun

通讯作者:曹喜望