Quantum computing for fusion energy science applications
This is a review of recent research exploring and extending present-day quantum computing
capabilities for fusion energy science applications. We begin with a brief tutorial on both …
capabilities for fusion energy science applications. We begin with a brief tutorial on both …
Embedding classical dynamics in a quantum computer
We develop a framework for simulating measure-preserving, ergodic dynamical systems on
a quantum computer. Our approach provides an operator-theoretic representation of …
a quantum computer. Our approach provides an operator-theoretic representation of …
Consistent spectral approximation of Koopman operators using resolvent compactification
C Valva, D Giannakis - arXiv preprint arXiv:2309.00732, 2023 - arxiv.org
Koopman operators and transfer operators represent dynamical systems through their
induced linear action on vector spaces of observables, enabling the use of operator …
induced linear action on vector spaces of observables, enabling the use of operator …
Consistent spectral approximation of Koopman operators using resolvent compactification
D Giannakis, C Valva - Nonlinearity, 2024 - iopscience.iop.org
Koopman operators and transfer operators represent dynamical systems through their
induced linear action on vector spaces of observables, enabling the use of operator …
induced linear action on vector spaces of observables, enabling the use of operator …
Tensor network approximation of Koopman operators
D Giannakis, MJL Jebelli, M Montgomery… - arXiv preprint arXiv …, 2024 - arxiv.org
We propose a tensor network framework for approximating the evolution of observables of
measure-preserving ergodic systems. Our approach is based on a spectrally-convergent …
measure-preserving ergodic systems. Our approach is based on a spectrally-convergent …
An algebra structure for reproducing kernel Hilbert spaces
M Montgomery, D Giannakis - Banach Journal of Mathematical Analysis, 2025 - Springer
Abstract Reproducing kernel Hilbert spaces (RKHSs) are Hilbert spaces of functions where
pointwise evaluation is continuous. There are known examples of RKHSs that are Banach …
pointwise evaluation is continuous. There are known examples of RKHSs that are Banach …
An algebra structure for reproducing kernel Hilbert spaces
D Giannakis, M Montgomery - arXiv preprint arXiv:2401.01295, 2024 - arxiv.org
Reproducing kernel Hilbert spaces (RKHSs) are Hilbert spaces of functions where pointwise
evaluation is continuous. There are known examples of RKHSs that are Banach algebras …
evaluation is continuous. There are known examples of RKHSs that are Banach algebras …