Date
December 16 at 13:00 - 14:30, 2020
Speaker
Dr. Ryusuke Hamazaki (Senior Research Scientist, iTHEMS / RIKEN Hakubi Team Leader, Nonequilibrium Quantum Statistical Mechanics RIKEN Hakubi Research Team, RIKEN Cluster for Pioneering Research)
Venue
via Zoom
Language
English

The Wasserstein distance is an indicator for the closeness of two probability distributions and is applied to various fields ranging from information theory to neural networks [1]. It is particularly useful to treat the geometry of the underlying space, such as tensor-product structures. In this journal club, I talk about one of the recent proposals on quantum extension of the Wasserstein distance [2]. After reviewing basic properties of classical Wasserstein distance, e.g., its relation to concentration phenomena, I discuss how they might be generalized to quantum realm.

*Detailed information about the seminar refer to the email.

References

  1. Boucheron, Stéphane, Gábor Lugosi, and Pascal Massart. "Concentration inequalities: A nonasymptotic theory of independence." Oxford university press, 2013.
  2. De Palma, Giacomo, et al. "The quantum Wasserstein distance of order 1." arXiv preprint arXiv:2009.04469 (2020).

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