10 papers
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…
Forecasting Quantum Observables: A Compressed Sensing Approach with Performance Guarantees
VÃctor Valls, Albert Akhriev, Olatz Sanz Larrarte +5
Data-driven extrapolation methods aim to extend the dynamics of quantum observables from measurements, but they often lack guarantees on prediction accuracy. We introduce a framewo…
Order Parameter Discovery for Quantum Many-Body Systems
Nicola Mariella, Tara Murphy, Francesco Di Marcantonio +4
Quantum phase transitions reveal deep insights into the behavior of many-body quantum systems, but identifying these transitions without well-defined order parameters remains a sig…
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…
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…
Approximate Quantum Compiling for Quantum Simulation: A Tensor Network based approach
Niall F. Robertson, Albert Akhriev, Jiri Vala +1
We introduce AQCtensor, a novel algorithm to produce short-depth quantum circuits from Matrix Product States (MPS). Our approach is specifically tailored to the preparation of quan…