Monday's QIT seminar at 15:00 in HIT K51
Hi all, Next Monday, Leonardo Finocchiaro will talk about “Generalized Quantum Stein’s Lemma and blurring map”. See below for the abstract. The talk will take place on Monday at 15:00 in HIT K51. Best, Ladina %%%%%%%%%% Title : Generalized Quantum Stein’s Lemma and blurring map Abstract : A common quantum hypothesis testing task is to decide whether a given state is entangled or not. Given more copies, it is possible to exponentially reduce the chance of making an error. The generalized Stein's lemma connects this rate of decay to the intrinsic relative entropy of entanglement of this state. It extends the result from the i.i.d. case, which itself relies on the original classical result from Chernoff and Stein. Recently this theorem was proven independently by Lami and Hayashi, and the former developed two new techniques, namely the blurring map and the bosonic lifting procedure. The goal of this presentation is to introduce the setup and build intuition around these tools. After reviewing the proof, we also consider some possible extensions of the result with the aim to find "one-shot" bounds, effectively bounding the rate of convergence.
participants (1)
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Ladina Hausmann