# Strong isomorphism in Eisert-Wilkens-Lewenstein type quantum games

## TL;DR

This paper introduces a new criterion for quantum game schemes based on strong isomorphism, ensuring that isomorphic classical games lead to isomorphic quantum games within the Eisert-Wilkens-Lewenstein framework.

## Contribution

It proposes a novel criterion linking classical game isomorphism to quantum game isomorphism in the Eisert-Wilkens-Lewenstein scheme.

## Key findings

- Defines strong isomorphism in quantum games
- Establishes conditions for quantum game isomorphism
- Bridges classical and quantum game equivalences

## Abstract

The aim of this paper is to bring together the notions of quantum game and game isomorphism. The work is intended as an attempt to introduce a new criterion for quantum game schemes. The generally accepted requirement forces a quantum scheme to generate the classical game in a particular case. Now, given a quantum game scheme and two isomorphic classical games, we additionally require the resulting quantum games to be isomorphic as well. We are concerned with the Eisert-Wilkens-Lewenstein quantum game scheme and the strong isomorphism between games in strategic form.