English

Uncertainty Relation Revisited from Quantum Estimation Theory

Quantum Physics 2013-05-29 v4

Abstract

By invoking quantum estimation theory we formulate bounds of errors in quantum measurement for arbitrary quantum states and observables in a finite-dimensional Hilbert space. We prove that the measurement errors of two observables satisfy Heisenberg's uncertainty relation, find the attainable bound, and provide a strategy to achieve it.

Keywords

Cite

@article{arxiv.1010.3571,
  title  = {Uncertainty Relation Revisited from Quantum Estimation Theory},
  author = {Yu Watanabe and Takahiro Sagawa and Masahito Ueda},
  journal= {arXiv preprint arXiv:1010.3571},
  year   = {2013}
}

Comments

manuscript including 4 pages and 2 figures

R2 v1 2026-06-21T16:29:59.973Z