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Error-disturbance relations for finite dimensional systems

Quantum Physics 2013-11-21 v2 Mathematical Physics math.MP

Abstract

We propose an error-disturbance relation for general observables on finite dimensional Hilbert spaces based on operational notions of error and disturbance. For two-dimensional systems we derive tight inequalities expressing the trade-off between accuracy and disturbance.

Keywords

Cite

@article{arxiv.1311.0259,
  title  = {Error-disturbance relations for finite dimensional systems},
  author = {Asger C. Ipsen},
  journal= {arXiv preprint arXiv:1311.0259},
  year   = {2013}
}

Comments

welcome. 17 pages. v2: Added references

R2 v1 2026-06-22T01:59:19.996Z