*Motivation and Contribution*

In most mobile application recovery methods, environmental factors were not taken into account as potential influencers on the recovery process. As a result, using recovery methods in the real world is challenging [20]. The goal is to create a strategy that optimizes achievement by using the most effective recovery techniques available in light of the present circumstances. We selected quantum game theory over conflict analysis or interactive decision theory because it enables us to compare the recovery techniques' available alternatives. The suggested model makes a significant contribution by enabling effective MDS recovery treatment by using a new smart strategy centered on players (various recovery procedures) inside the quantum game theory paradigm as a decision-maker for choosing the most efficient recovery process. Because the critical problem is not to choose one of the well-known recovery techniques, but to choose the strategy that is most appropriate in light of the changes made by the operating environment, which is often vague and unpredictable. In this respect, the present study will guarantee that the optimal approach to recovery through the quantum game theory model is selected based on its key parameters. This research examines many different types of recovery methods. These methods show the effect of different factors on the protocol's complicated efficiency. The suggested model demonstrates a high degree of adaptability via the use of cutting-edge recovery methods capable of substantially increasing performance.

**Figure 1.** Diagram depicting the information flow in a four-player classical game (**right**) and a four-player quantum game (**left**).

To our knowledge, this is the first time that quantum game theory has been used to simulate recovery in a mobile database system. This work extends our conference paper [21] significantly by using quantum game theory rather than classical game theory to successfully deal with NE in order to increase the payoffs of well-known game-theoretic equilibrium. Additionally, three recovery algorithms were employed as players in the quantum game theory, rather than two in our earlier work, to allow a greater number of algorithms to join the competition, which enhances decision-making effectiveness under varying environmental circumstances. The transition from two-player to multiplayer games unquestionably results in more dynamic problem solving, and this mode is the most accurate representation of reality. Single-game dynamics are generally constrained, and trajectories may show a variety of limiting characteristics. When additional participants are involved, both qualitative and statistical dynamics may change. Analytic techniques are used to assess the suggested model's performance, and the results are given later in the article.

A basic notion in computer science, especially in the theoretical realm, is symmetry. Symmetry is crucial for algorithm design and analysis. The use of symmetry simplifies and speeds up probabilistic analysis of stochastic algorithms. With the symmetry idea at its core, the suggested model effectively deals with random parameter probabilities, as shown in the development of game theory's utilization functions.

In addition to this introduction, the following sections are included: Section 2 discusses current state-of-the-art mobile database recovery strategies, Section 3 introduces the proposed mobile database recovery model, Section 4 describes the criteria for evaluating the proposed mobile database recovery based on game theory and presents the results, and Section 5 concludes and suggests directions for future work.
