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Clear filtersEnsemble.mix_mEnsemble_pure_average
Plain-language statement
The average of f : MState d → T on an ensemble that mixes to a pure state ψ is f (pure ψ)
Source project: quantumInfo
Person-level attribution pending.
Ensemble.mix_pEnsemble_pure_average
Plain-language statement
The average of f : Ket d → T on an ensemble that mixes to a pure state ψ is f ψ
Source project: quantumInfo
Person-level attribution pending.
Ensemble.mix_pEnsemble_pure_iff_pure
Project documentation
The average of f : MState d → T on a coerced pure-state ensemble ↑e : MEnsemble d α is equal to averaging the restricted function over Kets f ∘ pure : Ket d → T on e. -/ theorem average_of_pure_ensemble {T : Type _} {U : Type*} [AddCommGroup U] [Module ℝ U] [inst : Mixable U T] (f : MState d → T) (e : PEnsemble d α) : average f (toMEnsemble e) = p...
Source project: quantumInfo
Person-level attribution pending.