Variance-based uncertainty relations

@article{Huang2012VariancebasedUR,
  title={Variance-based uncertainty relations},
  author={Y. Huang},
  journal={Physical Review A},
  year={2012},
  volume={86},
  pages={024101}
}
  • Y. Huang
  • Published 2012
  • Physics
  • Physical Review A
  • It is hard to overestimate the fundamental importance of uncertainty relations in quantum mechanics. In this work, I propose state-independent variance-based uncertainty relations for arbitrary observables in both finite and infinite dimensional spaces. We recover the Heisenberg uncertainty principle as a special case. By studying examples, we find that the lower bounds provided by our new uncertainty relations are optimal or near-optimal. I illustrate the uses of our new uncertainty relations… CONTINUE READING
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