Quantum Uncertainty and Error-Disturbance Tradeoff

Abstract

The uncertainty principle is often interpreted by the tradeoff between the error of a measurement and the consequential disturbance to the followed ones, which originated long ago from Heisenberg himself but now falls into reexamination and even heated debate. Here we show that the tradeoff is switched on or off by the quantum uncertainties of two involved non-commuting observables: if one is more certain than the other, there is no tradeoff; otherwise, they do have tradeoff and the Jensen-Shannon divergence gives it a good characterization.

8 pages, 2 figures

References in corpus (5)

• Entropic uncertainty relation for mutually unbiased bases
• Entropic uncertainty relations for multiple measurements
• Operational constraints on state-dependent formulations of quantum error-disturbance trade-off relations
• Direct tests of measurement uncertainty relations: what it takes
• Measurement Uncertainty: Reply to Critics