Error-Disturbance Trade-off in Sequential Quantum Measurements

Abstract

We derive a state dependent error-disturbance trade-off based on a statistical distance in the sequential measurements of a pair of noncommutative observables and experimentally verify the relation with a photonic qubit system. We anticipate that this Letter may further stimulate the study on the quantum uncertainty principle and related applications in quantum measurements.

References in corpus (3)

• Measuring measurement--disturbance relationships with weak values
• Correlations between detectors allow violation of the Heisenberg noise-disturbance principle for position and momentum measurements
• Direct tests of measurement uncertainty relations: what it takes

Cited by in corpus (3)

• Uncertainty Relations Based on Modified Wigner-Yanase-Dyson Skew Information
• Trade-off relations of l_1-norm coherence for multipartite systems
• Optimizing incompatible triple quantum measurements