# Error-Disturbance Trade-off in Sequential Quantum Measurements

## TL;DR

This paper derives and experimentally verifies a state-dependent error-disturbance trade-off in sequential quantum measurements using photonic qubits, advancing understanding of quantum uncertainty principles.

## Contribution

It introduces a new error-disturbance relation based on statistical distance and demonstrates its validity experimentally with photonic qubits.

## Key findings

- Derived a state-dependent error-disturbance relation.
- Experimentally verified the relation with photonic qubits.
- Stimulates further research on quantum uncertainty and measurement applications.

## 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.