Quantum Coherence Test between Virtual and Collective Anti-Time States

This simulation investigates the quantum coherence between an individual virtual particle state and a collective anti-time-induced quantum state. Using a simplified Hadamard test circuit, the experiment evaluates the overlap amplitude μcoherence=∣⟨Ψcollective∣Ψindividual⟩∣\mu_{\text{coherence}} = |\langle \Psi_{\text{collective}} | \Psi_{\text{individual}} \rangle|μcoherence​=∣⟨Ψcollective​∣Ψindividual​⟩∣, reflecting phase alignment and entanglement influence within anti-time dynamics.This simulation is part of a broader study on the theoretical implications of anti-time in quantum cosmology, particularly focusing on the transition from entangled virtual particle pairs to organized anti-matter states through collective quantum behavior.The circuit is written in OpenQASM 2.0 and executed on IBM Quantum Composer with 8192 shots.