# The props of quantum mechanics

## TL;DR

This paper introduces a novel formalism for quantum circuits that uses a diagrammatic and algebraic approach, enabling basis-independent quantum state processing and simplifying quantum circuit analysis.

## Contribution

It presents a new formalism exploiting the many-input many-output nature of quantum circuit nodes, with a diagrammatic and algebraic version similar to spinor formalism.

## Key findings

- Enables basis-independent quantum state processing
- Simplifies analysis of quantum circuits
- Provides both diagrammatic and algebraic formalisms

## Abstract

We introduce a formalism that exploits the many-input many-output nature of nodes in quantum circuits. There is a diagrammatic and an algebraic version, the latter similar to the spinor formalism of general relativity. This allows us to work in truly basis independent ways, clarifying and simplifying many aspects of quantum state processing. The narrative is at times interrupted by antics of characters from quantum age fairy tales.