Pulse Fidelity

Pulse Fidelity is the measure of how well information is preserved through a pulse cycle, taken as the squared overlap between the ideal state and the state actually obtained. It is one of the two requirements of Recursive Feedback Fidelity, which extends classical Information Conservation to quantum networks: pulse fidelity keeps the state itself intact, while Quantum Information Efficiency, a von Neumann entropy ratio, keeps its information content intact. The book's quantum form requires normalized states and accounts for the full quantum overlap between ideal and actual states, and these overlap metrics decide how reliably a computational substrate carries recursive processing cycles. Stable recursion across cycles requires a very high threshold, F⥂ ≥ 0.999. F⥂ = |⟨Ψ✱|Ψ⟩|², where ⟨|⟩ is the quantum inner product, Ψ✱ is the ideal state and Ψ is the actual measured state, with ⟨Ψ|Ψ⟩ = 1 as the normalization condition. All quantities are [∅]. Its quantum form in the book is Quantum Pulse Fidelity, and it works with Quantum Information Efficiency, Recursive Fidelity Decay and the Overall Validation Score.