3 papers
quant-ph2026
Quantum algorithms for stochastic nonlinear differential equations
Sergey Bravyi, Adam Byrne, Mykhaylo Zayats +1
Stochastic nonlinear dynamics underlie many models in engineering and computational physics, yet accurate high-dimensional simulation remains challenging. We present a quantum algo…
quant-ph2025
Quantum Krylov Subspace Diagonalization via Time Reversal Symmetries
Nicola Mariella, Enrique Rico, Adam Byrne +1
Krylov quantum diagonalization methods have emerged as a promising use case for quantum computers. However, many existing implementations rely on controlled operations, which pose…
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…