181 citations · 285 across the 14 of their papers we have counts for
15 papers
Quantum algorithms for the exponentiation of Toeplitz matrices and applications in partial differential equations
Xabier Gutiérrez, Nicola Mariella, Javier González-Conde +2
We present quantum algorithms to approximate the exponential of banded Toeplitz matrices. These matrices have central importance in many PDE related problems, but their quantum imp…
Lindblad Multiproduct Formulas
Niall F. Robertson, Andrea D'Urbano, Anton Dekusar +11
We introduce Lindblad Multiproduct Formulas: a quantum error mitigation technique that uses two-dimensional tensor networks contracted with loop-corrected belief propagation. The q…
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
Víctor 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…
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…
Realization of Two-dimensional Discrete Time Crystals with Anisotropic Heisenberg Coupling
Eric D. Switzer, Niall Robertson, Nathan Keenan +7
A discrete time crystal (DTC) is the paradigmatic example of a phase of matter that occurs exclusively in systems out of equilibrium. This phenomenon is characterized by the sponta…
Mitigating exponential concentration in covariant quantum kernels for subspace and real-world data
Gabriele Agliardi, Giorgio Cortiana, Anton Dekusar +6
Fidelity quantum kernels have shown promise in classification tasks, particularly when a group structure in the data can be identified and exploited through a covariant feature map…
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…
A Machine Learning Approach to Boost the Vehicle-2-Grid Scheduling
Gabriele Agliardi, Giorgio Cortiana, Anton Dekusar +6
Electric Vehicles (EVs) are emerging as battery energy storage systems (BESSs) of increasing importance for different power grid services. However, the unique characteristics of EV…
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 prior knowledge of order parameters remains…
Tensor Network enhanced Dynamic Multiproduct Formulas
Niall F. Robertson, Bibek Pokharel, Bryce Fuller +10
Tensor networks and quantum computation are two of the most powerful tools for the simulation of quantum many-body systems. Rather than viewing them as competing approaches, here w…
Quantum Theory and Application of Contextual Optimal Transport
Nicola Mariella, Albert Akhriev, Francesco Tacchino +9
Optimal Transport (OT) has fueled machine learning (ML) across many domains. When paired data measurements are coupled to covariates, a challenging c…
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…
Challenges and Opportunities in Quantum Optimization
Amira Abbas, Andris Ambainis, Brandon Augustino +43
Recent advances in quantum computers are demonstrating the ability to solve problems at a scale beyond brute force classical simulation. As such, a widespread interest in quantum 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…