Variance-based uncertainty relation for incompatible observers

Xiao Zheng; Guo-Feng Zhang

Variance-based uncertainty relation for incompatible observers

Quantum Physics 2017-05-23 v1

Authors: Xiao Zheng , Guo-Feng Zhang

Abstract

Based on mixedness definition as M=1-tr(\r{ho}^2), we obtain a new variance-based uncertainty equality along with an inequality for Hermitian operators of a single-qubit system. The obtained uncertainty equality can be used as a measure of the system mixedness. A qubit system with feedback control is also exploited to demonstrate the new uncertainty.

Keywords

uncertainty relations

Cite

@article{arxiv.1705.07396,
  title  = {Variance-based uncertainty relation for incompatible observers},
  author = {Xiao Zheng and Guo-Feng Zhang},
  journal= {arXiv preprint arXiv:1705.07396},
  year   = {2017}
}

Comments

10 pages;3 figures, in press in Quantum Inf Process

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