70 citations · 222 across the 11 of their papers we have counts for
4 papers · 1 filter
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…
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 tomography using state-preparation unitaries
Joran van Apeldoorn, Arjan Cornelissen, András Gilyén +1
We describe algorithms to obtain an approximate classical description of a -dimensional quantum state when given access to a unitary (and its inverse) that prepares it. For pure…
Improved Quantum Algorithms for Fidelity Estimation
András Gilyén, Alexander Poremba
Fidelity is a fundamental measure for the closeness of two quantum states, which is important both from a theoretical and a practical point of view. Yet, in general, it is difficul…