“…Thus, the parity-check detector ultimately discriminates the pure BS-transformed singlet component from the other ones, achieving the desired distillation. With a specific focus on coincidence measurements, i.e., on the detection of odd-parity terms, this mechanism is also at the heart of the technique employing the spatially localized operations and classical communication (sLOCC) operational framework [37,42,[47][48][49][50][51] to recover the quantum correlations initially present in a Bell singlet state subjected to the local action of noisy environments. [35,36,52] Finally, we emphasize that in order that the discussed interference effects properly occur, the different two-particle probability amplitudes must be indistinguishable when the qubits are collected.…”