# Quantum Limits of Measurements and Uncertainty Principle

@article{Ozawa2015QuantumLO,
title={Quantum Limits of Measurements and Uncertainty Principle},
author={Masanao Ozawa},
journal={arXiv: Quantum Physics},
year={2015}
}
• M. Ozawa
• Published 19 May 2015
• Mathematics
• arXiv: Quantum Physics
In this paper, we show how the Robertson uncertainty relation gives certain intrinsic quantum limits of measurements in the most general and rigorous mathematical treatment. A general lower bound for the product of the root-mean-square measurement errors arising in joint measurements of noncommuting observables is established. We give a rigorous condition for holding of the standard quantum limit (SQL) for repeated measurements, and prove that if a measuring instrument has no larger root-mean…
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