Quantum Entropy and Density Matrix Simulation via Entangled Virtual Particles

This OpenQASM 2.0 code simulates the entropy dynamics of a quantum system composed of a virtual particle and its entangled anti-particle, with an ancilla qubit representing the environmental interaction (ρ). The circuit includes entanglement initialization, environmental coupling, decoherence effects (interpreted as anti-time fluctuations), and partial tracing via ancilla measurement. The final measurement captures the von Neumann entropy proxy of the virtual particle’s reduced state. This simulation is designed to study how anti-time induced environmental noise affects quantum information and entropy flow within entangled systems.