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

被引：0
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作者：
Wenxin Li
Pan Lian
Yuxia Liang
机构：
[1] Tianjin Normal University,School of Mathematical Sciences
来源：
Advances in Applied Clifford Algebras | 2022年 / 32卷
关键词：
Quaternion; Mixed states; Wigner–Yanase skew information; Uncertainty relation; Primary 33C45; Secondary 33C80;
D O I：
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学科分类号：
摘要：
In this note, we first derive a Schödinger 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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