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

Mon, 03 Mar 2025 00:00:00 +0000

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.

Jef Pauwels - Not specified

Wed, 08 Mar 2023 00:00:00 +0000

Not specified

Ce séminaire, donné par Jef Pauwels, aura lieu le 08 March 2023, à 10:0. Il aura lieu en salle 25-26/105.

Vous trouverez un plan du campus ici.

Résumé

Not specified

Jef Pauwels | LIP6 - Équipe QI

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

Jef Pauwels - Not specified

Not specified

Résumé