A quantum channel is called entanglement annihilating if all its k-fold tensor powers map arbitrary quantum states to fully separable quantum states. It is an open problem to determine whether the entanglement breaking channels are the only examples of entanglement annihilating channels. We explain how a variant of this question can be cast in the setting of general proper cones and their tensor products, and how we can solve it for certain types of cones. In particular, we will relate the question to certain operator ideals studied in the theory of Banach spaces and how they arise by procedures akin to regularizations in quantum information theory. (Based on joint work with Guillaume Aubrun).
By Alexander Müller-Hermes
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By Gérard Ben Arous
By Gérard Ben Arous
By Gérard Ben Arous
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