# A unified approach to SIC-POVMs and MUBs

## TL;DR

This paper presents a unified mathematical framework for SIC-POVMs and MUBs using SU(2) algebra, highlighting their similarities and differences in quantum measurement theory.

## Contribution

It introduces a novel approach based on operator equivalents in the SU(2) algebra to analyze SIC-POVMs and MUBs together.

## Key findings

- Unified mathematical description of SIC-POVMs and MUBs
- Identification of key similarities and differences
- Potential implications for quantum information processing

## Abstract

A unified approach to (symmetric informationally complete) positive operator valued measures and mutually unbiased bases is developed in this article. The approach is based on the use of operator equivalents expanded in the enveloping algebra of SU(2). Emphasis is put on similarities and differences between SIC-POVMs and MUBs.