Results 181 to 190 of about 4,977,477 (349)

Boundedness and Compactness of Weighted Composition Operators From Banach Spaces of Holomorphic Functions to Weighted-Type Banach Spaces on the Polydisk

Journal of Function Spaces
In this work, we characterize the bounded and compact weighted composition operators from a large class of Banach space X of holomorphic functions on the open unit polydisk Dn into weighted-type Banach spaces of holomorphic functions on Dn.
Rabab Alyusof, Flavia Colonna
doaj   +1 more source

High-Order Sequential Simulation via Statistical Learning in Reproducing Kernel Hilbert Space. [PDF]

Math Geosci, 2020
Yao L, Dimitrakopoulos R, Gamache M.
europepmc   +1 more source

Quantum‐Noise‐Driven Generative Diffusion Models

Advanced Quantum Technologies, EarlyView.
Diffusion Models (DMs) are today a very popular class of generative models for Machine Learning (ML), using a noisy dynamics to learn an unknown density probability of a finite set of samples in order to generate new synthetic data. This study proposes a method to generalize them into the quantum domain by introducing and investigating what are termed ...
Marco Parigi, Stefano Martina, Filippo Caruso   +2 more
wiley   +1 more source

An Existence Analysis for Nonlinear Equations in Hilbert Space [PDF]

, 1967
John Locker
openalex   +2 more sources

Theory of Response to Perturbations in Non-Hermitian Systems Using Five-Hilbert-Space Reformulation of Unitary Quantum Mechanics. [PDF]

Entropy (Basel), 2020
Znojil M.
europepmc   +1 more source

Subspace kernels and minimum problems in Hilbert spaces with kernel function [PDF]

, 1969
Bruce L. Chalmers
openalex   +1 more source

Disentanglement–Induced Bistability in a Magnetic Resonator

Advanced Quantum Technologies, EarlyView.
The spontaneous disentanglement hypothesis makes the collapse postulate of quantum mechanics redundant, and enables meta‐stability in finite quantum systems, which is otherwise excluded. The hypothesis is falsifiable, since it yields predictions that are distinguishable from what is derived from standard QM. The paper reports on an experiment performed
Eyal Buks
wiley   +1 more source

Open and Closed Loop Approaches for Energy Efficient Quantum Optimal Control

Advanced Quantum Technologies, EarlyView.
Concepts from quantum thermodynamics and optimal control are blended to derive a theoretical framework to quantify and minimize the energetic cost of a pulse for unitary synthesis. Two complementary techniques (based on GRAPE and Reinforce‐DRL) are implemented as open‐source software that co‐optimizes the fidelity and energetic cost within quantum ...
Sebastiaan Fauquenot, Aritra Sarkar, Sebastian Feld   +2 more
wiley   +1 more source

Rigorous Derivation of the Phase Shift Formula for the Hilbert Space Scattering Operator of a Single Particle [PDF]

, 1960
T. A. Green, Oscar E. Lanford
openalex   +1 more source

QMM‐Enhanced Error Correction: Demonstrating Reversible Imprinting and Retrieval for Robust Quantum Computation

Advanced Quantum Technologies, EarlyView.
Hardware experiments show a single‐layer Quantum Memory Matrix booster cuts logical error sixfold and, when prepended to a [3,1,3]$[3,1,3]$ repetition code, attains 94 % logical fidelity without extra CX gates. QMM dressing also lowers variational‐training loss by 35 %, offering a measurement‐free, resource‐light route to error suppression on NISQ ...
Florian Neukart, Eike Marx, Valerii Vinokur, Jeff Titus   +3 more
wiley   +1 more source