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Radical-ion-pair reactions, central in photosynthesis and the avian magneticcompass mechanism, have recently shown to be a paradigm system for applyingquantum information science in a biochemical setting. The fundamental quantummaster equation describing radical-ion-pair reactions is still under debate. Wehere use quantum retrodiction to produce a rigorous refinement of the theoryput forward in Phys. Rev. E {\bf 83}, 056118 (2011). We also provide a rigorousanalysis of the measure of singlet-triplet coherence required for deriving theradical-pair master equation. A Monte-Carlo simulation with single-moleculequantum trajectories supports the self-consistency of our approach.

Retrodictive derivation of the radical-ion-pair master equation and Monte-Carlo simulation with single-molecule quantum trajectories