| import Mathlib | |
| import OAI.Analysis.FreeWords.TraceTransferDefinitions | |
| namespace OAI | |
| noncomputable section | |
| namespace KKTraceTransfer | |
| noncomputable section | |
| variable {H : Type*} [NormedAddCommGroup H] [InnerProductSpace ℂ H] [CompleteSpace H] | |
| def amplifiedTrace (M : VonNeumannAlgebra H) (τ : FaithfulNormalTrace M) (n : ℕ) | |
| (x : Matrix (Fin n) (Fin n) (ConcreteAlgebra M)) : ℂ := | |
| (n : ℂ)⁻¹ * ∑ i, τ.map (x i i) | |
| end | |
| end KKTraceTransfer | |
| end | |
| end OAI | |