On a refinement of Heisenberg uncertainty relation by means of quantum Fisher information

On a refinement of Heisenberg uncertainty relation by means of quantum Fisher information
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DOI:
10.1016/j.jmaa.2010.09.029
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发表时间:
2011-03
影响因子:
1.3
通讯作者:
P. Gibilisco;T. Isola
P. Gibilisco;T. Isola
中科院分区:
数学3区
文献类型:
--
作者:
P. Gibilisco;T. Isola

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我们证明了由Luo和Yanagi证明的与Wigner-Yanase-Dyson信息相关的不确定关系对于任意量子Fisher信息不成立。我们表明,通过改变一个常数,一个类似的迹不等式持有充分的一般性。
We show that an uncertainty relation proved by Luo and Yanagi and related to Wigner–Yanase–Dyson information cannot hold for an arbitrary quantum Fisher information. We show that, by changing a costant, a similar trace inequality holds in full generality.