Heisenberg's error-disturbance relations: a joint measurement-based experimental test

Abstract

The Heisenberg's error-disturbance relation is a cornerstone of quantum physics. It was recently shown to be not universally valid and two different approaches to reformulate it were proposed.The first one focuses on how error and disturbance of two observables, A and B, depend on a particular quantum state. The second one asks how a joint measurement of A and B affects their eigenstates. Previous experiments focused on the first approach. Here, we focus on the second one. Firstly, we propose and implement an extendible method for quantum walk-based joint measurements of noisy Pauli operators to test the error-disturbance relation for qubits. Then, we formulate and experimentally test a new universally valid relation for the three mutually unbiased observables. We therefore establish a fundamentally new method of testing error-disturbance relations.

6 pages, 4 figures

References in corpus (6)

• Realization of single-qubit positive operator-valued measurement via a one-dimensional photonic quantum walk
• Measuring measurement--disturbance relationships with weak values
• Notes on Joint Measurability of Quantum Observables
• Coexistence of qubit effects
• Experimental test of entropic noise-disturbance uncertainty relations for spin-1/2 measurements
• Direct tests of measurement uncertainty relations: what it takes

Cited by in corpus (4)

• Entanglement detection by violations of noisy uncertainty relations: A proof of principle
• Testing a Quantum Error-Correcting Code on Various Platforms
• Effects of the free evolution in the Arthurs-Kelly model of simultaneous measurement and in the retrodictive predictions of the Heisenberg uncertainty relations
• Error-disturbance uncertainty relations in Faraday measurements