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20232026
most citedChemistry Beyond the Scale of Exact Diagonalization on a Quantum-Centric Supercomputer

91 citations · 231 across the 14 of their papers we have counts for

collaborators

15 papers

quant-ph2026

Polynomial-time exact diagonalization via sparse guided eigenwalks

Zachary E. Chin, Mario Motta, Javier Robledo Moreno +3

Computing quantum ground states is generically difficult, but additional structure can sometimes allow diagonalization to be recast as a more feasible problem. For example, when th…

quant-ph2026

Quantum Finite Temperature Lanczos Method

Gian Gentinetta, Friederike Metz, William Kirby +1

The computation of thermal properties of quantum many-body systems is a central challenge in our understanding of quantum mechanics. We introduce the Quantum Finite Temperature Lan…

quant-ph2026

Observation of Improved Accuracy over Classical Sparse Ground-State Solvers using a Quantum Computer

William Kirby, Bibek Pokharel, Javier Robledo Moreno +25

Demonstrating quantum advantage over classical algorithms for ground state energy problems is an outstanding open problem in quantum computation. We experimentally demonstrate that…

cs.ET2026

Scaling Sample-Based Quantum Diagonalization on GPU-Accelerated Systems using OpenMP Offload

Robert Walkup, Juha Jäykkä, Igor Pasichnyk +14

Hybrid quantum-HPC algorithms advance research by delegating complex tasks to quantum processors and using HPC systems to orchestrate workflows and complementary computations. Samp…

quant-ph2025

Closed-loop calculations of electronic structure on a quantum processor and a classical supercomputer at full scale

Tomonori Shirakawa, Javier Robledo-Moreno, Toshinari Itoko +18

Quantum computers must operate in concert with classical computers to deliver on the promise of quantum advantage for practical problems. To achieve that, it is important to unders…

quant-ph2025

Quantum Krylov Algorithm for Szegö Quadrature

William Kirby, Yizhi Shen, Daan Camps +3

We present a quantum algorithm to evaluate matrix elements of functions of unitary operators. The method is based on calculating quadrature nodes and weights using data collected f…

quant-ph2025★ 3 cited

Quantum chemistry with provable convergence via randomized sample-based Krylov quantum diagonalization

Samuele Piccinelli, Alberto Baiardi, Stefano Barison +12

Quantum algorithms based on classical processing of individual samples have recently emerged as a promising route to perform large-scale quantum-chemical calculations on pre-fault-…

quant-ph2025★ 6 cited

Quantum-Centric Algorithm for Sample-Based Krylov Diagonalization

Jeffery Yu, Javier Robledo Moreno, Joseph T. Iosue +17

Approximating the ground state of many-body systems is a key computational bottleneck underlying important applications in physics and chemistry. The most widely known quantum algo…

quant-ph2024

The quantum super-Krylov method

Adam Byrne, William Kirby, Kirk M. Soodhalter +1

The problem of estimating the ground-state energy of a quantum system is ubiquitous in chemistry and condensed matter physics. Krylov quantum diagonalization (KQD) has emerged as a…

quant-ph2024★ 23 cited

Diagonalization of large many-body Hamiltonians on a quantum processor

Nobuyuki Yoshioka, Mirko Amico, William Kirby +16

The estimation of low energies of many-body systems is a cornerstone of computational quantum sciences. Variational quantum algorithms can be used to prepare ground states on pre-f…

quant-ph2024★ 91 cited

Chemistry Beyond the Scale of Exact Diagonalization on a Quantum-Centric Supercomputer

Javier Robledo-Moreno, Mario Motta, Holger Haas +14

A universal quantum computer can simulate diverse quantum systems, with electronic structure for chemistry offering challenging problems for practical use cases around the hundred-…

quant-ph2024★ 15 cited

Analysis of quantum Krylov algorithms with errors

William Kirby

This work provides a nonasymptotic error analysis of quantum Krylov algorithms based on real-time evolutions, subject to generic errors in the outputs of the quantum circuits. We p…

quant-ph2023★ 4 cited

Practical Benchmarking of Randomized Measurement Methods for Quantum Chemistry Hamiltonians

Arkopal Dutt, William Kirby, Rudy Raymond +4

Many hybrid quantum-classical algorithms for the application of ground state energy estimation in quantum chemistry involve estimating the expectation value of a molecular Hamilton…

quant-ph2023★ 85 cited

Quantum-centric Supercomputing for Materials Science: A Perspective on Challenges and Future Directions

Yuri Alexeev, Maximilian Amsler, Paul Baity +124

Computational models are an essential tool for the design, characterization, and discovery of novel materials. Hard computational tasks in materials science stretch the limits of e…

quant-ph2023★ 4 cited

Subspace methods for electronic structure simulations on quantum computers

Mario Motta, William Kirby, Ieva Liepuoniute +7

Quantum subspace methods (QSMs) are a class of quantum computing algorithms where the time-independent Schrodinger equation for a quantum system is projected onto a subspace of the…