# Discrete phase-space structures and Wigner functions for $N$ qubits

## TL;DR

This paper explores the phase-space structures and Wigner functions for systems of N qubits, focusing on discrete curves, unbiasedness, and entanglement properties, with practical examples of covariant Wigner functions.

## Contribution

It introduces a detailed phase-space framework for N qubits, emphasizing the construction of discrete covariant Wigner functions and their relation to entanglement.

## Key findings

- Identification of discrete curves compatible with unbiasedness
- Construction methods for covariant Wigner functions
- Examples illustrating phase-space structures and entanglement

## Abstract

We further elaborate on a phase-space picture for a system of $N$ qubits and explore the structures compatible with the notion of unbiasedness. These consist of bundles of discrete curves satisfying certain additional properties and different entanglement properties. We discuss the construction of discrete covariant Wigner functions for these bundles and provide several illuminating examples.