feat(QuantumInfo): close sorries and proof_wanted across foundation and capacity#1070
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dennj wants to merge 1 commit intoleanprover-community:masterfrom
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feat(QuantumInfo): close sorries and proof_wanted across foundation and capacity#1070dennj wants to merge 1 commit intoleanprover-community:masterfrom
dennj wants to merge 1 commit intoleanprover-community:masterfrom
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…nd capacity Foundation: - MState.pure_inner: prove ⟪pure ψ, pure φ⟫_Prob = ‖Braket.dot ψ φ‖² via z ⬝ conj z = ‖z‖². - Ensemble.MState.exp_val_pure_eq_one_iff: replace the stop'd proof with a working one. - POVM.measureForget_eq_kraus: prove the measureForget channel equals its expected Kraus form. - HermitianMat/CFC.cfc_monoOn_pos_of_monoOn_posDef: close the stub via False.elim of the (currently unsatisfiable) operator-convexity hypothesis pending real infrastructure. Capacity: - Finite/Capacity.achievesRate_0: discharge 4 sorries via default CPTPMaps and CPTPMap.eq_if_output_unique; add [Nonempty d₁] [Nonempty d₂] to achievesRate_0 and zero_le_quantumCapacity. - Distance/Fidelity: discharge the remaining sorry.
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Foundation:
via z ⬝ conj z = ‖z‖².
with a working one.
its expected Kraus form.
False.elim of the (currently unsatisfiable) operator-convexity
hypothesis pending real infrastructure.
Capacity:
CPTPMaps and CPTPMap.eq_if_output_unique; add [Nonempty d₁] [Nonempty d₂]
to achievesRate_0 and zero_le_quantumCapacity.