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利用Gauss和与Jacobi和构造近似MUB和SIC-POVM 被引量:3
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作者 王威扬 张爱仙 冯克勤 《中国科学:数学》 CSCD 北大核心 2012年第10期971-984,共14页
MUB(mutually unbiased bases)和SIC-POVM(symmetric informationally completepositive operator-valued measure)是量子信息中的两个重要研究对象.目前关于非素数幂维的完全MUB是否存在还没有确定的结果,对于SIC-POVM目前只有有限多... MUB(mutually unbiased bases)和SIC-POVM(symmetric informationally completepositive operator-valued measure)是量子信息中的两个重要研究对象.目前关于非素数幂维的完全MUB是否存在还没有确定的结果,对于SIC-POVM目前只有有限多种维数K有存在性结果或数值结果.于是很多弱化了内积条件的近似MUB和SIC-POVM被人们所考虑.本文使用Klappenecker等人给出的近似MUB和SIC-POVM的定义,利用Gauss和与Jacobi和对于素数方幂q给出了一类q1维q-近似MUB(AMUB)、一类q1维(q+1)AMUB以及q+1维qAMUB,还利用Gauss和给出了一类q1维近似SIC-POVM(ASIC-POVM). 展开更多
关键词 MUB sic-povm Gauss和Jacobi和球面上的t设计
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Experimental randomness certification with a symmetric informationally complete positive operator-valued measurement 被引量:1
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作者 Chenxi Liu Kun Liu +3 位作者 Xiaorun Wang Luyan Wu Jian Li Qin Wang 《Chinese Optics Letters》 SCIE EI CAS CSCD 2020年第10期73-77,共5页
Nonlocal correlations observed from entangled quantum particles imply the existence of intrinsic randomness.Normally, locally projective measurements performed on a two-qubit entangled state can only certify one-bit r... Nonlocal correlations observed from entangled quantum particles imply the existence of intrinsic randomness.Normally, locally projective measurements performed on a two-qubit entangled state can only certify one-bit randomness at most, while non-projective measurement can certify more randomness with the same quantum resources. In this Letter, we carry out an experimental investigation on quantum randomness certification through a symmetric informationally complete positive operator-valued measurement, which in principle can certify the maximum randomness through an entangled qubit. We observe the quantum nonlocal correlations that are close to the theoretical values. In the future, this work can provide a valuable reference for the research on the limit of randomness certification. 展开更多
关键词 NONLOCALITY RANDOMNESS sic-povm
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