Title: Squashed quantum non-Markovianity: a measure of genuine quantum non-Markovianity in states

Speaker: Prof. Siddhartha Das, IIIT Hyderabad

Abstract: We introduce a quantifier of genuine quantum non-Markovianity called squashed quantum non-Markovianity which is based on quantum conditional mutual information and squashes out all possible non-genuine quantum non-Markovian correlations. This measure is in a similar spirit of squashed entanglement, a faithful entanglement monotone for bipartite quantum systems that squashes out all non-quantum correlations. With this in hand, we are able to introduce a resource theory of genuine quantum non-Markovianity for quantum states and discuss the role or connection of genuine quantum non-Markovianity in some of the operational quantum information processing tasks. Our resource theory has several desirable properties such as convexity, faithfulness, monogamy, super-additivity, and continuity. See https://arxiv.org/abs/2311.18323 for details.