Extension of algebraic certification beyond Boolean-phase gates

Determine how far the principle of shifting certification complexity from quantum measurement design to classical processing of observed correlations extends beyond Boolean-phase gates.

Background

The paper develops device-independent certification schemes for Boolean-phase gates, in which the gate-dependent phase information is converted through Boolean derivatives into classical signs evaluated from local measurement outcomes. This structure permits robust Choi-state and effective-channel certification while keeping the local measurement architecture fixed across the gate family.

The authors suggest that analogous algebraic structure in other quantum operations might likewise allow part of the certification burden to be transferred from quantum measurement design to classical postprocessing. The extent to which this strategy applies outside the Boolean-phase family is explicitly left unresolved.