no code implementations • 26 Mar 2024 • Hao-Chung Cheng, Nilanjana Datta, Nana Liu, Theshani Nuradha, Robert Salzmann, Mark M. Wilde
By making use of the wealth of knowledge that already exists in the literature on QHT, we characterize the sample complexity of binary QHT in the symmetric and asymmetric settings, and we provide bounds on the sample complexity of multiple QHT.
no code implementations • 12 Feb 2021 • Bjarne Bergh, Robert Salzmann, Nilanjana Datta
Fawzi and Fawzi recently defined the sharp R\'enyi divergence, $D_\alpha^\#$, for $\alpha \in (1, \infty)$, as an additional quantum R\'enyi divergence with nice mathematical properties and applications in quantum channel discrimination and quantum communication.
Quantum Physics Mathematical Physics Mathematical Physics
1 code implementation • 10 Jan 2020 • Eric P. Hanson, Vishal Katariya, Nilanjana Datta, Mark M. Wilde
What is the minimum number of guesses needed on average to correctly guess a realization of a random variable?
Quantum Physics
no code implementations • 11 Dec 2019 • Koenraad Audenaert, Eric P. Hanson, Nilanjana Datta
We consider a stochastic network model for epidemics, based on a random graph proposed by Ross [Journal of Applied Probability, 18, 309-315 (1981)].
Probability Combinatorics
1 code implementation • 7 Jun 2017 • Eric P. Hanson, Nilanjana Datta
Computing the entropy of these states leads to a local strengthening of the continuity bound of the von Neumann entropy, i. e., the Audenaert-Fannes inequality.
Quantum Physics Mathematical Physics Mathematical Physics