37 citations · 47 across the 10 of their papers we have counts for
11 papers
Log-Euclidean Rényi Conditional Mutual Information
Roberto Rubboli, Amir Arqand, Mark M. Wilde
Quantum conditional mutual information (QCMI) is a fundamental measure of conditional independence, with central applications throughout quantum information theory and many-body ph…
Strong Converse Exponent of Quantum State Merging
Mario Berta, Hao-Chung Cheng, Roberto Rubboli +1
We determine the strong converse exponent for the entanglement cost of quantum state merging, showing that it is characterized by the optimized - conditional Rényi entropies…
Maximal Rényi Relative Entropy for
Roberto Rubboli
Quantum relative entropies play a fundamental role in quantum information theory. In the classical setting, Rényi relative entropies constitute, up to linear combinations, the most…
A complete characterisation of conditional entropies
Roberto Rubboli, Erkka Haapasalo, Marco Tomamichel
Entropies are fundamental measures of uncertainty with central importance in information theory and statistics and applications across all the quantitative sciences. Under a natura…
The strong converse exponent of composable randomness extraction against quantum side information
Roberto Rubboli, Marco Tomamichel
We find a tight characterization of the strong converse exponent for randomness extraction against quantum side information. In contrast to previous tight bounds, we employ a compo…
Additivity of quantum relative entropies as a single-copy criterion
Salman Beigi, Roberto Rubboli, Marco Tomamichel
The fundamental goal of information theory is to characterize complex operational tasks using efficiently computable information quantities, Shannon's capacity formula being the pr…
Quantum conditional entropies from convex trace functionals
Roberto Rubboli, Milad M. Goodarzi, Marco Tomamichel
We study geometric properties of trace functionals that generalize those in [Zhang, Adv. Math. 365:107053 (2020)], arising from a novel family of conditional entropies with applica…
A fixed-point algorithm for matrix projections with applications in quantum information
Shrigyan Brahmachari, Roberto Rubboli, Marco Tomamichel
We develop a fixed-point iterative algorithm that computes the matrix projection with respect to the Bures distance on the set of positive definite matrices that are invariant unde…
Mixed-state additivity properties of magic monotones based on quantum relative entropies for single-qubit states and beyond
Roberto Rubboli, Ryuji Takagi, Marco Tomamichel
We prove that the stabilizer fidelity is multiplicative for the tensor product of an arbitrary number of single-qubit states. We also show that the relative entropy of magic become…
New additivity properties of the relative entropy of entanglement and its generalizations
Roberto Rubboli, Marco Tomamichel
We prove that the relative entropy of entanglement is additive when \emph{at least one of the two states} belongs to some specific class. We show that these classes include biparti…
Fundamental Limits on Correlated Catalytic State Transformations
Roberto Rubboli, Marco Tomamichel
Determining whether a given state can be transformed into a target state using free operations is one of the fundamental questions in the study of resources theories. Free operatio…