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Quantum Broadcast Channel Simulation via Multipartite Convex Splitting
Hao-Chung Cheng, Li Gao, Mario Berta
We show that the communication cost of quantum broadcast channel simulation under free entanglement assistance between the sender and the receivers is asymptotically characterized…
Entanglement monogamy via multivariate trace inequalities
Mario Berta, Marco Tomamichel
Entropy is a fundamental concept in quantum information theory that allows to quantify entanglement and investigate its properties, for example its monogamy over multipartite syste…
A Third Information-Theoretic Approach to Finite de Finetti Theorems
Mario Berta, Lampros Gavalakis, Ioannis Kontoyiannis
A new finite form of de Finetti's representation theorem is established using elementary information-theoretic tools. The distribution of the first random variables in an excha…
Sparse random Hamiltonians are quantumly easy
Chi-Fang, Chen, Alexander M. Dalzell +3
A candidate application for quantum computers is to simulate the low-temperature properties of quantum systems. For this task, there is a well-studied quantum algorithm that perfor…
Qubit-Efficient Randomized Quantum Algorithms for Linear Algebra
Samson Wang, Sam McArdle, Mario Berta
We propose a class of randomized quantum algorithms for the task of sampling from matrix functions, without the use of quantum block encodings or any other coherent oracle access t…