27th Conference of the International Linear Algebra Society (ILAS 2026)

Comparing measurement incompatibility via convex subsets of states

May 19, 2026, 3:45 PM

25m

Goodwin Hall 115 (Virginia Tech)

Minisymposium Talk Convex Structures in Quantum Information and Gravity Convex Structures in Quantum Information and Gravity

Speaker

Ryo Takakura (University of Osaka)

Description

In quantum theory, certain observables cannot be measured simultaneously, a feature known as measurement incompatibility. This concept captures a fundamental limitation of quantum measurements and has deep connections to quantum phenomena. In this talk, we propose an operational framework to characterize measurement incompatibility using restricted sets of states, modeled as convex subsets. We introduce an operational quantification and ordering defined by the detectability of incompatibility over these subsets. We show that these notions establish a fine-grained hierarchy for measurement incompatibility, providing new structural insights into mutually unbiased qubit observables beyond standard noise robustness measures.