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most citedPhase estimation with partially randomized time evolution

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quant-ph20262 cited

Phase estimation with partially randomized time evolution

Jakob Günther, Freek Witteveen, Alexander Schmidhuber +3

Quantum phase estimation combined with Hamiltonian simulation is the most promising algorithmic framework to computing ground state energies on quantum computers. Its main computat…

quant-ph20262 cited

Provable quantum speedups for computing persistence in topological data analysis

Casper Gyurik, Alexander Schmidhuber, Robbie King +2

Topological data analysis (TDA) aims to extract noise-robust features from a data set by examining the number and persistence of holes in its topology. We provide an efficient quan…

quant-ph2026

Adiabatic Quantum Phase Estimation

Alexander Schmidhuber, Seth Lloyd

Quantum phase estimation (QPE) is a central algorithmic primitive that estimates eigenvalues of a Hamiltonian up to precision in Heisenberg-limited time . Standard…

quant-ph2025

Optimization by Decoded Quantum Interferometry

Stephen P. Jordan, Noah Shutty, Mary Wootters +6

Achieving superpolynomial speedups for optimization has long been a central goal for quantum algorithms. Here we introduce Decoded Quantum Interferometry (DQI), a quantum algorithm…

quant-ph2025

Quartic quantum speedups for community detection

Alexander Schmidhuber, Alexander Zlokapa

Community detection is a foundational problem in data science. Its natural extension to hypergraphs captures higher-order correlations beyond pairwise interactions. In this work, w…

quant-ph2025

Hamiltonian Decoded Quantum Interferometry

Alexander Schmidhuber, Jonathan Z. Lu, Noah Shutty +3

We introduce Hamiltonian Decoded Quantum Interferometry (HDQI), a quantum algorithm that utilizes coherent Bell measurements and the symplectic representation of the Pauli group to…