Quantum Superposition of Event Function States for Encryption-Decryption and the Entanglement Degree of System Fault Evolution Process

The System Fault Evolution Process (SFEP) is a network topology composed of various events. In SFEP, the system function state is determined by the function states of all events, which involves both the representation and control of a single event function state, as well as the determination of the causal relationships between multiple event function states. Firstly, the feasibility of utilizing quantum superposition and entanglement to characterize the event function state is examined. Secondly, in the case of non-superposition and superposition of reliable and failed binary states, the influence of quantum strategy and binary strategy on state changes is studied, and encryption and decryption operators are provided accordingly; Subsequently, the significance of quantum state entanglement in event function states was analyzed. Finally, a quantum state entanglement degree algorithm for event function states is provided. Research has demonstrated that quantum strategy can achieve any desired event function state. The product of encryption and decryption operators for both non-overlapping and overlapping event function states remains constant. Multiple event function states can generate quantum state superposition. The superposition of two-event function states within the minimum unit of the SFEP is equivalent to a failure mode, where the squared probability amplitudes and probability density matrices of each superposition state represent the occurrence probability of each failure mode. The entanglement degree can comprehensively describe the fault modes and their occurrence probabilities, as well as determine the complexity of causal relationships between events and the challenges associated with obtaining them. This research aims to provide a fundamental theoretical framework for the comprehensive description and analysis of system function status.