Cloning, deleting, and hiding in modal quantum theory

TL;DR

This paper explores modal quantum theory, a finite-field analogue of quantum mechanics, demonstrating that cloning and deleting remain impossible, but information can be hidden in entangled states.

Contribution

It analyzes how fundamental quantum no-go theorems extend to modal quantum theory, highlighting differences and similarities.

Findings

Cloning and deleting are forbidden in MQT.

Information can be hidden in correlations between entangled modal qubits.

The no-go results are similar but have different details in MQT.

Abstract

We examine the toy model of modal quantum theory (MQT), an analogue of actual quantum theory based on finite fields. In particular, we investigate how several essential ``no-go'' results (for cloning, deleting and hiding processes) work in MQT. Cloning and deleting are still forbidden in MQT, though the details of these results are somewhat different in the new context. However, the information of a modal qubit can be completely hidden in the correlations between two entangled modal qubits.