# The Extended Bloch Representation of Quantum Mechanics for Infinite-Dimensional Entities

## TL;DR

This paper extends the Bloch representation of quantum mechanics to infinite-dimensional systems, demonstrating its applicability when measurement outcomes are finitely many, which aligns with real-world experimental conditions.

## Contribution

It generalizes the Bloch representation to infinite-dimensional entities under practical measurement constraints, broadening its theoretical scope.

## Key findings

- Applicable to infinite-dimensional quantum systems
- Valid when measurement outcomes are finitely degenerate
- Bridges theoretical models with experimental realities

## Abstract

We show that the extended Bloch representation of quantum mechanics also applies to infinite-dimensional entities, to the extent that the number of (possibly infinitely degenerate) outcomes of a measurement remains finite, which is always the case in practical situations.