Work

Certifying measurement incompatibility in prepare-and-measure and Bell scenarios

Year: 2025

Type: article

Abstract: We consider the problem of certifying measurement incompatibility in a prepare-and-measure (PM) scenario. We present different families of sets of qubit measurements which are incompatible, but cannot lead to any quantum over classical advantage in PM scenarios. Our examples are obtained via a general theorem which proves a set of qubit dichotomic measurements can have their incompatibility certified in a PM scenario if and only if their incompatibility can be certified in a bipartite Bell scenario where the parties share a maximally entangled state. Our framework naturally suggests a hierarchy of increasingly stronger notions of incompatibility, in which more power is given to the classical simulation by increasing its dimensionality. For qubits, we give an example of measurements whose incompatibility can be certified against trit simulations, which we show is the strongest possible notion for qubits in this framework.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/adb3ff

Authors: Sophie Egelhaaf, Jef Pauwels, Marco Túlio Quintino, Roope Uola

Institutions: University of Geneva, LIP6

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

Funder: Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung