recognition /
Quantum /
Quantum.Measurement.WavefunctionCollapse /
explainer
No prose has been written for this declaration yet. The Lean source and graph data below render
without it.
generate prose now
formal statement (Lean)
141 noncomputable def stateToLedger {n : ℕ} (ψ : QuantumState n) : UncommittedLedger n :=
proof body
Definition body.
142 ⟨(Finset.univ.filter (fun i => ψ.amplitudes i ≠ 0)).toList.map
143 (fun i => ⟨i, ψ.amplitudes i, ‖ψ.amplitudes i‖^2, rfl⟩),
144 filter_map_weight_sum ψ⟩
145
146 /-- Probability of measuring outcome i from state ψ (Born rule). -/
depends on (15)
Lean names referenced from this declaration's body.
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
from
in IndisputableMonolith.Foundation.PrimitiveDistinction
decl_use
QuantumState
in IndisputableMonolith.Foundation.QuantumLedger
decl_use
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
QuantumState
in IndisputableMonolith.Information.NoCloning
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
map
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
QuantumState
in IndisputableMonolith.QFT.PauliExclusion
decl_use
QuantumState
in IndisputableMonolith.QFT.Unitarity
decl_use
filter_map_weight_sum
in IndisputableMonolith.Quantum.Measurement.WavefunctionCollapse
decl_use
QuantumState
in IndisputableMonolith.Quantum.Measurement.WavefunctionCollapse
decl_use
UncommittedLedger
in IndisputableMonolith.Quantum.Measurement.WavefunctionCollapse
decl_use
toList
in IndisputableMonolith.RecogSpec.ObservablePayloads
decl_use