Various resource theories and experimental protocols have been developed in the recent years to classify quantum states according to their usefulness. In comparison, quantum memories/channels have received much less attention. In this talk, we explore the relevant theoretical context to compare quantum memories and distinguish those that are relevant for quantum information processing. Our formulation leads naturally to the definition of a new class of experimental tests that (1) require minimal assumptions, (2) are robust against losses and (3) are able to discriminate any non-entanglement-breaking memory.
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