| * Venue | Media Centre |
| * Speaker | Rajeev Gangwar |
| * Title | Characterizing genuine quantum non-Markovianity in states: a resource theoretic approach |
| Affiliation | IISER--Mohali |
| Abstract | Quantum non-Markovianity is a fundamental concept in open quantum dynamics. Here, we have characterized the quantum non-Markovianity in tripartite quantum states, specifically focusing on the genuine quantum contributions. We propose a measure called squashed quantum non-Markovianity (sQNM), which is based on quantum conditional mutual information. sQNM represents the leftover non-Markovianity after removing all non-quantum contributions, and sQNM is lower bounded by the squashed entanglement between non-conditioning systems and is delimited by the extendibility of either of the non-conditioning systems. The measure is shown to be monogamous, asymptotically continuous, convex, faithful, additive on tensor-product states, and generally super-additive. We develop a resource theory for genuine quantum non-Markovianity, identifying free states with vanishing sQNM and free operations as those that do not increase sQNM. Using this framework, we found interesting bounds in the rate of state transformations under free operations and we have also found the bound between quantum communication cost and sQNM. Operationally, sQNM quantifies the optimal rate of private communication as a revised version of the conditional quantum one-time pad (OTP) and the minimum deconstruction cost in the quantum state deconstruction protocol. Google Meet Link: meet.google.com/bch-pyng-uxt |
| * Announcement? | Institute |
| * Refreshments? | After the event |
| * Honorarium? | None |
| Special Arrangements? | Digital Projection |
| * Host name and email | Sibasish Ghosh @@ sibasish@imsc.res.in |