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formal statement (Lean)
174def decoherenceFromBITCert : DecoherenceFromBITCert where
175 omega_BIT_band := omega_BIT_band
proof body
Definition body.
176 T2_pos := T2_substrate_pos
177 T2_strictly_decreasing := T2_substrate_strictly_decreasing
178 T2_ratio_phi_power := T2_ratio_is_phi_power
179 transmon_fluxonium_ratio := T2_transmon_to_fluxonium_ratio
180
181/-! ## §6. One-statement summary -/
182
183/-- **DECOHERENCE FROM BIT ONE-STATEMENT THEOREM.**
184
185 Under the BIT-coupling decoherence model:
186 (1) the canonical BIT carrier sits in the `(8.0, 8.1)` band;
187 (2) substrate decoherence times follow `T₂(k) = T₂_0 / φ^k`;
188 (3) cross-class ratios are exact `φ`-powers `φ^(k_b - k_a)`. -/
depends on (13)
Lean names referenced from this declaration's body.
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model
in IndisputableMonolith.ClassicalBridge.Fluids.CPM2D
decl_use
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carrier
in IndisputableMonolith.Engineering.CorticalNeuromodulationDevice
decl_use
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carrier
in IndisputableMonolith.Engineering.PhantomCoupledGWAntennaSensitivity
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canonical
in IndisputableMonolith.Foundation.ArithmeticOf
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band
in IndisputableMonolith.Foundation.PreLogicalCost
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canonical
in IndisputableMonolith.Gap45.Beat
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canonical
in IndisputableMonolith.NavierStokes.RM2U.NonParasitism
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DecoherenceFromBITCert
in IndisputableMonolith.QuantumComputing.DecoherenceFromBIT
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omega_BIT_band
in IndisputableMonolith.QuantumComputing.DecoherenceFromBIT
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T2_ratio_is_phi_power
in IndisputableMonolith.QuantumComputing.DecoherenceFromBIT
decl_use
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T2_substrate_pos
in IndisputableMonolith.QuantumComputing.DecoherenceFromBIT
decl_use
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T2_substrate_strictly_decreasing
in IndisputableMonolith.QuantumComputing.DecoherenceFromBIT
decl_use
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T2_transmon_to_fluxonium_ratio
in IndisputableMonolith.QuantumComputing.DecoherenceFromBIT
decl_use