We present the quantum limits to the magnetic sensitivity of a new kind of magnetometer based on biochemical reactions. Radical-ion-pair reactions, the biochemical system underlying the chemical compass, are shown to offer a new and unique physical realization of a magnetic field sensor competitive to modern atomic or condensed matter magnetometers. We elaborate on the quantum coherence and entanglement dynamics of this sensor, showing that they provide the physical basis for testing our understanding of the fundamental quantum dynamics of radical-ion-pair reactions.Quantum physics, in particular quantum information, control and measurement are concepts rapidly infiltrating biological or biochemical processes. For example, quantum coherence has been shown to play a fundamental role in photosynthesis [1][2][3][4][5][6][7][8], while quantum measurement dynamics have been demonstrated to underlie radical-ionpair reactions [9][10][11], the spin-dependent biochemical reactions at the heart of the avian magnetic compass mechanism. Even electron spin entanglement has also been addressed with respect to the chemical compass [12,13], paving the way for the dawn of quantum biology [14].We will here show that spin-selective radical-ion-pair reactions are no different than atomic [15] or solid state quantum sensors [16] used in e.g. precision metrology [17][18][19], and in principle are able to offer an exquisite magnetic sensitivity. We will establish the fundamental quantum limits to the magnetic sensitivity of these biochemical sensors, and we will elaborate on the fundamental decoherence mechanism present. We will show that the mechanism damping singlet-triplet coherence also damps any electron spin entanglement possibly present, as is well understood in precision measurements. In so doing, we will also show that the recently appeared entanglement considerations [12,13] are questionable, since these works have not taken into account the fundamental singlet-triplet decoherence process. Finally, we will compare the three different and currently competing master equations attempting to describe the quantum dynamics of radical-ion-pair reactions. Based on their ability to correctly account for the coherence and entanglement dynamics of these reactions, it will be shown that one out of the three theories can be eliminated.Radical-ion pairs (Fig. 1) [20][21][22] are biomolecular ions with two unpaired electrons and any number of magnetic nuclei, created by a charge transfer from a photo-excited D * A donor-acceptor molecular dyad DA. The magnetic nuclei of the donor and acceptor molecules couple to the two electrons via the hyperfine interaction, leading to singlet-triplet (S-T) mixing, i.e. a coherent oscillation of the total electron spin state, also affected by the electrons' Zeeman interaction with the external magnetic field. Singlet-triplet coherence (and its relaxation) is studied in a variety of contexts, as e.g. in NMR [23][24][25] and quantum dots [26][27][28]. The additional complication of radical-ion-pair reactio...