MUBs from bent functions

TL;DR

This paper presents a straightforward method for constructing complete sets of mutually unbiased bases (MUBs) utilizing bent functions to explicitly define basis vectors as linear combinations of the standard basis.

Contribution

It introduces a novel, simple construction of MUBs based on bent functions, providing explicit basis vectors.

Findings

Constructed complete sets of MUBs using bent functions

Explicit formulas for basis vectors as linear combinations

Simplified the process of generating MUBs

Abstract

This note contains a simple construction of complete sets of MUBs, using bent functions to write the new basis vectors as explicit linear combinations of the standard basis.