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Found 5 papers, 2 papers with code
An invitation to the sample complexity of quantum hypothesis testing
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.
The $α\to 1$ Limit of the Sharp Quantum Rényi Divergence
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
Guesswork with Quantum Side Information
What is the minimum number of guesses needed on average to correctly guess a realization of a random variable?
Quantum Physics
A continuity bound for the expected number of connected components of a random graph: a model for epidemics
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
Maximum and minimum entropy states yielding local continuity bounds
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
