Electrical readout of spins in the absence of spin blockade

Abstract: In semiconductor nanostructures, spin blockade (SB) is the most scalable mechanism for electrical spin readout requiring only two bound spins for its implementation which, in conjunction with charge sensing techniques, has led to high-fidelity readout of spins in semiconductor-based quantum processors. However, various mechanisms may lift SB, such as strong spin-orbit coupling (SOC) or low-lying excited states, hence posing challenges to perform spin readout at scale and with high fidelity in such systems. Here, we present a method, based on the dependence of the two-spin system polarizability on energy detuning, to perform spin state readout even when SB lifting mechanisms are dominant. It leverages SB lifting as a resource to detect different spin measurement outcomes selectively and positively. We demonstrate the method using a hybrid system formed by a quantum dot (QD) and a Boron acceptor in a silicon p-type transistor and show spin selective and positive readout of different spin states under SB lifting conditions due to (i) SOC and (ii) low-lying orbital states in the QD. We further use the method to determine the detuning-dependent spin relaxation time of 0.1-8~$\mu$s. Our method should help perform high-fidelity projective spin measurements in systems subject to strong SOC and may facilitate quantum tomography and state leakage studies.