Quantum Circuits as Novel Activation Functions in Cryptography

We will implement an artificial neural network to analyze the activation function and replace it with a quantum circuit. We will analyze its performance and its time complexity. It will be from a physicist's perspective with applications in cryptography.

We recently found one paper, arXiv: 2404.06059, about quantum algorithms and activation functions. Yet, we will add an analysis of complexity theory within the cryptography context.

The goal of this is to show the classical and quantum versions of the most relevant concepts in cryptography through a study case in the quantum machine learning context focused on an artificial neural network for encryption.

We will use a basic neural network and analyze the running time for the most common activation functions. We will introduce basic quantum circuits and compare them to the classical versions. Also, we discuss the implementation of quantum circuits as activation functions.

We will show a toy model of encryption decryption with plain text and its cipher text and discuss the algorithm's performance.

We found one reference on this topic, and there are no papers about quantum algorithms, activation functions, and cybersecurity. This means that we are exploring novel topics that are essential for post-quantum cryptography.