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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:375

Article

Gibilisco, P.²  Isola, T.¹ 

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[2] Univ Roma Tor Vergata, Fac Econ, Dipartimento SEFEMEQ, I-00133 Rome, Italy

关键词: Heisenberg uncertainty relation;    Wigner-Yanase-Dyson information;    Operator monotone functions;    Quantum Fisher information;   

DOI  :  10.1016/j.jmaa.2010.09.029

来源: Elsevier

【 摘 要 】

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. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free