typicalFidelity
plain-language theorem explainer
typicalFidelity defines the representative value of 0.99 for state preservation fidelity in the quantum Zeno effect. Quantum information theorists and experimentalists would reference this constant when modeling measurement-induced freezing of evolution or error correction protocols. The definition is a direct numerical assignment reflecting reported experimental outcomes with roughly 1000 measurements per decay lifetime.
Claim. The typical fidelity of the quantum Zeno effect, representing state preservation under frequent measurements, is $0.99$.
background
Recognition Science derives the quantum Zeno effect from ledger actualization in module QF-010. Measurement corresponds to committing a ledger entry that resets the system state, while evolution between measurements allows probabilistic superposition. The transition probability follows $P(t) = sin^2(Omega t / 2)$, and with N measurements it approaches zero as N increases. Upstream structures include LedgerFactorization for the J-cost calibration and PhiForcingDerived for the underlying J-function convexity. SpectralEmergence provides the gauge and generation structure that contextualizes the quantum channels involved. The local setting emphasizes that frequent actualization suppresses transitions, leading to the watched-pot phenomenon.
proof idea
The definition is a direct constant assignment of 0.99, chosen to match the high-fidelity regime described in the module documentation for state preservation exceeding 99 percent with approximately 1000 measurements per decay time.
why it matters
This definition anchors the applications section of the Zeno effect module, including quantum state protection, decoherence-free subspaces, and quantum computing error correction. It supplies a concrete benchmark for the theoretical derivation from ledger actualization, aligning with Recognition Science's goal of grounding quantum phenomena in the phi-ladder and eight-tick dynamics. No immediate open questions are flagged, though integration with downstream capacity calculations remains implicit.
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