Results 51 to 60 of about 64,232 (230)

Fermionic tensor network methods

SciPost Physics
We show how fermionic statistics can be naturally incorporated in tensor networks on arbitrary graphs through the use of graded Hilbert spaces. This formalism allows the use of tensor network methods for fermionic lattice systems in a local way, avoiding
Quinten Mortier, Lukas Devos, Lander Burgelman, Bram Vanhecke, Nick Bultinck, Frank Verstraete, Jutho Haegeman, Laurens Vanderstraeten
doaj   +1 more source

Information-theoretical formulation of anyonic entanglement

, 2014
Anyonic systems are modeled by topologically protected Hilbert spaces which obey complex superselection rules restricting possible operations. These Hilbert spaces cannot be decomposed into tensor products of spatially localized subsystems, whereas the ...
Furrer, Fabian, Kato, Kohtaro, Murao, Mio   +2 more
core   +1 more source

Infinite rank solution for conformable degenerate abstract Cauchy problem in Hilbert spaces

Journal of Mathematics and Computer Science, 2023
In this paper, we find an infinite rank solution of a conformable abstract Cauchy problem. The involved derivative is the conformable one. The main idea of the proofs are based on the theory of tensor product of Banach spaces.
F. Seddiki, M. Horani, Roshdi Khalil
semanticscholar   +1 more source

Patterning the Void: Combining L‐Systems with Archimedean Tessellations as a Perspective for Tissue Engineering Scaffolds

Advanced Functional Materials, EarlyView.
This study introduces a novel multi‐scale scaffold design using L‐fractals arranged in Archimedean tessellations for tissue regeneration. Despite similar porosity, tiles display vastly different tensile responses (1–100 MPa) and deformation modes. In vitro experiments with hMSCs show geometry‐dependent growth and activity. Over 55 000 tile combinations
Maria Kalogeropoulou, Kenny A. van Kampen, Pierpaolo Fucile, Carlos Mota, Lorenzo Moroni   +4 more
wiley   +1 more source

Notes on the factorisation of the Hilbert space for two-sided black holes in higher dimensions

Journal of High Energy Physics
In this paper, we investigate the Hilbert space factorisation problem of two-sided black holes in high dimensions. We demonstrate that the Hilbert space of two-sided black holes can be factorized into the tensor product of two one-sided bulk Hilbert ...
Pan Li
doaj   +1 more source

A new class of entanglement measures

, 2001
We introduce new entanglement measures on the set of density operators on tensor product Hilbert spaces. These measures are based on the greatest cross norm on the tensor product of the sets of trace class operators on Hilbert space.
Bennett C. H., Bennett C. H., Horodecki M., Horodecki M., Oliver Rudolph, Plenio M. B., Rudolph O., Rudolph O., Vedral V., Vedral V.   +9 more
core   +1 more source

A Virtual Clinical Trial of Psychedelics to Treat Patients With Disorders of Consciousness

Advanced Science, EarlyView.
Disorders of consciousness after severe brain injury are marked by reduced complexity of brain activity and limited treatment options. Using personalized whole‐brain models, this study shows that simulated lysergic acid diethylamide (LSD) and psilocybin shift patient brain dynamics closer to criticality.
Naji L.N. Alnagger, Paolo Cardone, Charlotte Martial, Yonatan Sanz Perl, Iván Mindlin, Jacobo D Sitt, Leor Roseman, Robin Carhart‐Harris, David Nutt, Pablo Mallaroni, Natasha Mason, Johannes G Ramaekers, Vincent Bonhomme, Steven Laureys, Gustavo Deco, Olivia Gosseries, Pablo Núñez, Jitka Annen   +17 more
wiley   +1 more source

Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation

Advanced Physics Research, EarlyView.
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley   +1 more source

Harmonic blending approximation

Journal of Numerical Analysis and Approximation Theory, 2001
The concept of harmonic Hilbert space \(H_D({\mathbb R} ^n)\) was introduced in [2] as an extension of periodic Hilbert spaces [1], [2], [5], [6]. In [4] we introduced multivariate harmonic Hilbert spaces and studied approximation by exponential-type ...
Franz-Jürgen Delvos
doaj   +2 more sources

Facts about the Fourier-Stieltjes Transform of Vector Measures on Compact Groups

International Journal of Analysis and Applications, 2013
This paper gives an interpretation of the Fourier-Stieltjes transform of vector measures by means of the tensor product of Hilbert spaces. It also extends the Kronecker product to some operators arising from the Fourier-Stieltjes transformation and ...
Yaogan MENSAH
doaj   +2 more sources