Wigner-Yanase Skew Information and Uncertainty Relations for Quaternionic Mixed States

被引：0
作者：
Li, Wenxin [1 ]
Lian, Pan [1 ]
Liang, Yuxia [1 ]
机构：
[1] Tianjin Normal Univ, Sch Math Sci, Binshui West Rd 393, Tianjin 300387, Peoples R China
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2022年 / 32卷 / 05期
关键词：
Quaternion; Mixed states; Wigner-Yanase skew information; Uncertainty relation;
D O I：
10.1007/s00006-022-01243-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we first derive a Schodinger uncertainty relation for any pair of quaternionic observables and a mixed state. Then, the Wigner-Yanase skew information is introduced in the quaternion setting. Based on the skew information, we establish a new quantum uncertainty inequality for the non-Hermitian quaternionic observables.
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页数：11
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