Error-disturbance relations for finite dimensional systems

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.

welcome. 17 pages. v2: Added references

References in corpus (1)

• Universal joint-measurement uncertainty relation for error bars

Cited by in corpus (2)

• Quantum root-mean-square error and measurement uncertainty relations
• Universality and Optimality in the Information-Disturbance Tradeoff