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A generalization of Schrödinger’s uncertainty relation described by the Wigner–Yanase skew information

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Abstract

The uncertainty principle in quantum mechanics is a fundamental relation with different forms, including Heisenberg’s uncertainty relation and Schrodinger’s uncertainty relation. We discuss the generalized Wigner–Yanase correlation and the generalized covariance of operators and establish a generalization of Schrodinger’s uncertainty relation expressed in terms of Wigner–Yanase information.

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Acknowledgments

This subject was supported by the NNSF of China (Nos. 11371012, 11401359, 11171197, 11471200), the FRF for the Central Universities (No. GK201301007) and the NSRP of Shaanxi Province (2014JQ1010).

Conflict of interest

The authors declare that they have no conflict of interest.

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Authors and Affiliations

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, China

    Qian Li, Huai-Xin Cao & Hong-Ke Du

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  1. Qian Li
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  2. Huai-Xin Cao
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  3. Hong-Ke Du
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Correspondence to Huai-Xin Cao.

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Li, Q., Cao, HX. & Du, HK. A generalization of Schrödinger’s uncertainty relation described by the Wigner–Yanase skew information. Quantum Inf Process 14, 1513–1522 (2015). https://doi.org/10.1007/s11128-014-0896-6

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  • DOI: https://doi.org/10.1007/s11128-014-0896-6

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