Certainty in Heisenberg’s Uncertainty Principle: Revisiting Definitions for Estimation Errors and Disturbance

@article{Dressel2014CertaintyIH,
  title={Certainty in Heisenberg’s Uncertainty Principle: Revisiting Definitions for Estimation Errors and Disturbance},
  author={J. Dressel and F. Nori},
  journal={Physical Review A},
  year={2014},
  volume={89}
}
We revisit the definitions of error and disturbance recently used in error-disturbance inequalities derived by Ozawa and others by expressing them in the reduced system space. The interpretation of the definitions as mean-squared deviations relies on an implicit assumption that is generally incompatible with the Bell-Kochen-Specker-Spekkens contextuality theorems, and which results in averaging the deviations over a non-positive-semidefinite joint quasiprobability distribution. For unbiased… Expand
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References

SHOWING 1-10 OF 207 REFERENCES
Proof of Heisenberg's error-disturbance relation.
  • 170
  • PDF
Error-tradeoff and error-disturbance relations for incompatible quantum measurements
  • C. Branciard
  • Mathematics, Medicine
  • Proceedings of the National Academy of Sciences
  • 2013
  • 90
  • PDF
Deriving tight error-trade-off relations for approximate joint measurements of incompatible quantum observables
  • 28
  • Highly Influential
  • PDF
Disproving Heisenberg's error-disturbance relation
  • 27
  • PDF
...
1
2
3
4
5
...