Designing generalized elegant Bell inequalities in higher dimensions from a Tsirelson bound
Phys. Rev. A 114, 012217 – Published 29 July, 2026
DOI: https://doi.org/10.1103/7cpk-3gn5
Abstract
Elegant Bell inequality is well known for its distinctive property, being maximally violated by maximal entanglement, mutually unbiased bases, and symmetric informationally complete positive operator-valued measure elements. Despite its significance in quantum information theory demonstrated based on its unique violation feature, it remains the only known one with the characteristic. We present a method to construct Bell inequalities with violation feature analogous to elegant Bell inequality in higher local dimensions from a simple, analytic quantum bound. A Bell inequality with the generalized violation feature is derived for the locally three-dimensional case. It exhibits larger violation than existing Bell inequalities of similar classes, including the original elegant Bell inequality, while requiring arguably small number of measurements.
