4 papers
Partially smoothed information measures
Anurag Anshu, Mario Berta, Rahul Jain +1
Smooth entropies are a tool for quantifying resource trade-offs in (quantum) information theory and cryptography. In typical bi- and multi-partite problems, however, some of the su…
A streamlined quantum algorithm for topological data analysis with exponentially fewer qubits
Sam McArdle, András Gilyén, Mario Berta
Topological invariants of a dataset, such as the number of holes that survive from one length scale to another (persistent Betti numbers) can be used to analyze and classify data i…
Quantum state preparation without coherent arithmetic
Sam McArdle, András Gilyén, Mario Berta
We introduce a versatile method for preparing a quantum state whose amplitudes are given by some known function. Unlike existing approaches, our method does not require handcrafted…
On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources
Mario Berta, Fernando G. S. L. Brandão, Gilad Gour +4
We show that the proof of the generalised quantum Stein's lemma [Brandão & Plenio, Commun. Math. Phys. 295, 791 (2010)] is not correct due to a gap in the argument leading to Lemm…