# Decoherence effects on multiplayer cooperative quantum games

## TL;DR

This paper investigates how different types of quantum decoherence affect the outcomes of multiplayer cooperative quantum games, revealing that decoherence generally diminishes players' payoffs and can nullify game advantages.

## Contribution

It provides a comparative analysis of the impact of amplitude damping, depolarizing, and phase damping channels on quantum game payoffs under decoherence.

## Key findings

- Amplitude damping and depolarizing channels reduce payoffs significantly.
- Phase damping has a less severe impact on cooperative payoffs.
- High decoherence levels can turn the game into a no-payoff scenario.

## Abstract

We study the behavior of cooperative multiplayer quantum games [35,36] in the presence of decoherence using different quantum channels such as amplitude damping, depolarizing and phase damping. It is seen that the outcomes of the games for the two damping channels with maximum values of decoherence reduce to same value. However, in comparison to phase damping channel, the payoffs of cooperators are strongly damped under the influence\ amplitude damping channel for\ the lower values of decoherence parameter. In the case of depolarizing channel, the game is a no-payoff game irrespective of the degree of entanglement in the initial state for the larger values of decoherence parameter. The decoherence gets the cooperators worse off.