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20232026
most citedThe topology of data hides in quantum thermal states

6 citations · 13 across the 10 of their papers we have counts for

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11 papers · 1 filter

quant-ph2026

Problem-aware sampling for bias and variance reduction in randomised Hamiltonian simulation

Brian Coyle, Jonathan H. Fetherolf, Antonio Márquez Romero +3

Randomised quantum simulation algorithms such as qDRIFT reduce circuit depth by replacing deterministic product formulas with stochastic compilations, but achieving high accuracy c…

quant-ph2026

OpenQARP: a modular framework for quantum application research

Stefano Scali, Vicente P. Soloviev, Antonio Márquez Romero +7

We introduce OpenQARP, the Open Quantum Application Research Package: an open-source Python framework for quantum application research, built on a compiled C++ core. In OpenQARP, a…

quant-ph2026

Learning structural balance of graphs from quantum spectral features

Stefano Scali, Oleksandr Kyriienko

We develop a quantum approach to spectral feature extraction from the density of states (DOS) of a problem-dependent Hamiltonian, and apply it to machine learning on signed graphs.…

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★ 1 cited

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★ 1 cited

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…

quant-ph2024★ 6 cited

The topology of data hides in quantum thermal states

Stefano Scali, Chukwudubem Umeano, Oleksandr Kyriienko

We provide a quantum protocol to perform topological data analysis (TDA) via the distillation of quantum thermal states. Recent developments of quantum thermal state preparation al…

quant-ph2023★ 5 cited

Quantum topological data analysis via the estimation of the density of states

Stefano Scali, Chukwudubem Umeano, Oleksandr Kyriienko

We develop a quantum topological data analysis (QTDA) protocol based on the estimation of the density of states (DOS) of the combinatorial Laplacian. Computing topological features…