4 papers · 1 filter
TARE: Block Encoding Linear Combinations of Pauli Strings Without Ancilla State Preparation
Niclas Schillo, Andreas Sturm, Rüdiger Quay
Quantum algorithms based on Quantum Signal Processing (QSP) offer the potential for speedups across a broad range of applications, with block encodings serving as the central input…
Efficient and Explicit Block Encoding of Finite Difference Discretizations of the Laplacian
Andreas Sturm, Niclas Schillo
The data input model is a fundamental component of every quantum algorithm, as its efficiency is crucial for achieving potential speed-ups over classical methods. For quantum linea…
Variational Quantum Algorithms for Differential Equations on a Noisy Quantum Computer
Niclas Schillo, Andreas Sturm
The role of differential equations (DEs) in science and engineering is of paramount importance, as they provide the mathematical framework for a multitude of natural phenomena. Sin…
Unlocking Quantum Optimization: A Use Case Study on NISQ Systems
Andreas Sturm, Bharadwaj Mummaneni, Leon Rullkötter
The major advances in quantum computing over the last few decades have sparked great interest in applying it to solve the most challenging computational problems in a wide variety…