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quant-ph2026

A unified quantum computing quantum Monte Carlo framework through structured state preparation

Giuseppe Buonaiuto, Antonio Marquez Romero, Brian Coyle +4

We extend Quantum Computing Quantum Monte Carlo (QCQMC) beyond ground-state energy estimation by systematically constructing the quantum circuits used for state preparation. Replac…

quant-ph2026

Quantum Randomized Subspace Iteration

Stefano Scali, Brian Coyle, Giuseppe Buonaiuto +1

Resolving degenerate quantum eigenspaces - including topologically ordered ground states and frustrated magnets - requires preparing high-fidelity states that span every direction…

quant-ph2025

Purified phase estimation samples spectra efficiently

Stefano Scali, Josh Kirsopp, Antonio Márquez Romero +1

Quantum phase estimation (QPE) is a cornerstone algorithm for extracting Hamiltonian eigenvalues, but its standard, eigenstate-centric form relies on carefully prepared coherent in…

quant-ph2024

Quantum community detection via deterministic elimination

Chukwudubem Umeano, Stefano Scali, Oleksandr Kyriienko

We propose a quantum algorithm for calculating the structural properties of complex networks and graphs. The corresponding protocol -- deteQt -- is designed to perform large-scale…

quant-ph2024

Addressing the Readout Problem in Quantum Differential Equation Algorithms with Quantum Scientific Machine Learning

Chelsea A. Williams, Stefano Scali, Antonio A. Gentile +2

Quantum differential equation solvers aim to prepare solutions as -qubit quantum states over a fine grid of points, surpassing the linear scaling of classical solvers.…

quant-ph2024

Can Geometric Quantum Machine Learning Lead to Advantage in Barcode Classification?

Chukwudubem Umeano, Stefano Scali, Oleksandr Kyriienko

We consider the problem of distinguishing two vectors (visualized as images or barcodes) and learning if they are related to one another. For this, we develop a geometric quantum m…