Product and sum uncertainty relations based on metric-adjusted skew information
被引:8
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作者:
Ma, Xiaoyu
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Shandong Univ, Zhongtai Secur Inst Financial Studies, Jinan 250100, Peoples R ChinaShandong Univ, Zhongtai Secur Inst Financial Studies, Jinan 250100, Peoples R China
Ma, Xiaoyu
[1
]
Zhang, Qing-Hua
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机构:
Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R ChinaShandong Univ, Zhongtai Secur Inst Financial Studies, Jinan 250100, Peoples R China
Zhang, Qing-Hua
[2
]
Fei, Shao-Ming
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机构:
Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
Max Planck Inst Math Sci, D-04103 Leipzig, GermanyShandong Univ, Zhongtai Secur Inst Financial Studies, Jinan 250100, Peoples R China
Fei, Shao-Ming
[2
,3
]
机构:
[1] Shandong Univ, Zhongtai Secur Inst Financial Studies, Jinan 250100, Peoples R China
[2] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[3] Max Planck Inst Math Sci, D-04103 Leipzig, Germany
The metric-adjusted skew information establishes a connection between the geometrical formulation of quantum statistics and the measures of quantum information. We study uncertainty relations in product and summation forms of metric-adjusted skew information. We present lower bounds on product and summation uncertainty inequalities based on metric-adjusted skew information via operator representation of observables. Explicit examples are provided to back our claims.
机构:
Hebei Normal Univ, Hebei Int Joint Res Ctr Math & Interdisciplinary S, Hebei Math Res Ctr, Sch Math Sci,Hebei Workstat Foreign Acad, Shijiazhuang, Peoples R ChinaHebei Normal Univ, Hebei Int Joint Res Ctr Math & Interdisciplinary S, Hebei Math Res Ctr, Sch Math Sci,Hebei Workstat Foreign Acad, Shijiazhuang, Peoples R China
Li, Hui
Gao, Ting
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Hebei Normal Univ, Hebei Int Joint Res Ctr Math & Interdisciplinary S, Hebei Math Res Ctr, Sch Math Sci,Hebei Workstat Foreign Acad, Shijiazhuang, Peoples R ChinaHebei Normal Univ, Hebei Int Joint Res Ctr Math & Interdisciplinary S, Hebei Math Res Ctr, Sch Math Sci,Hebei Workstat Foreign Acad, Shijiazhuang, Peoples R China
Gao, Ting
Yan, Fengli
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机构:
Hebei Normal Univ, Coll Phys, Hebei Key Lab Photophys Res & Applicat, Shijiazhuang 050024, Peoples R ChinaHebei Normal Univ, Hebei Int Joint Res Ctr Math & Interdisciplinary S, Hebei Math Res Ctr, Sch Math Sci,Hebei Workstat Foreign Acad, Shijiazhuang, Peoples R China
机构:
Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
Univ Toulouse, Lab Phys Theor, CNRS, UPS,UMR 5152, F-31062 Toulouse, FranceCapital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
Zhang, Qing-Hua
Wu, Jing-Feng
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机构:
Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R ChinaCapital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
Wu, Jing-Feng
Ma, Xiaoyu
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机构:
Shandong Univ, Zhongtai Secur Inst Financial Studies, Jinan 250100, Peoples R ChinaCapital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
Ma, Xiaoyu
Fei, Shao-Ming
论文数: 0引用数: 0
h-index: 0
机构:
Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
Max Planck Inst Math Sci, D-04103 Leipzig, GermanyCapital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China