Results 61 to 70 of about 672,947 (320)

X-symbols for non-Abelian symmetries in tensor networks

Physical Review Research, 2020
The full exploitation of non-Abelian symmetries in tensor network states (TNSs) derived from a given lattice Hamiltonian is attractive in various aspects.
Andreas Weichselbaum
doaj   +1 more source

Efficient variational contraction of two-dimensional tensor networks with a non-trivial unit cell [PDF]

Quantum, 2020
Tensor network states provide an efficient class of states that faithfully capture strongly correlated quantum models and systems in classical statistical mechanics.
A. Nietner, B. Vanhecke, F. Verstraete, J. Eisert, L. Vanderstraeten   +4 more
doaj   +1 more source

Efficient parallelization of tensor network contraction for simulating quantum computation

Nature Computational Science, 2021
We develop an algorithmic framework for contracting tensor networks and demonstrate its power by classically simulating quantum computation of sizes previously deemed out of reach.
Cupjin Huang, Fang Zhang, M. Newman, Xiaotong Ni, D. Ding, Junjie Cai, Xun Gao, Tenghui Wang, Feng Wu, Gengyan Zhang, H. Ku, Zhengxiong Tian, Junyin Wu, Haihong Xu, Huanjun Yu, Bo Yuan, M. Szegedy, Yaoyun Shi, Hui-Hai Zhao, Chunqing Deng, Jianxin Chen   +20 more
semanticscholar   +1 more source

Contractive homomorphisms and tensor product norms [PDF]

Integral Equations and Operator Theory, 1995
For any complex domain \(\Omega\), one can ask if all contractive algebra homomorphisms of \({\mathcal A}(\Omega)\) (into the algebra of Hilbert space operators) are completely contractive or not. By Ando's Theorem, this has an affirmative answer for \(\Omega= \mathbb{D}^2\), the bi-disc -- while the answer is unknown for \(\Omega= (\ell^1(2))_1\), the
Bagchi, Bhaskar, Misra, Gadadhar
openaire   +2 more sources

Three-dimensional isometric tensor networks

Physical Review Research, 2021
Tensor network states are expected to be good representations of a large class of interesting quantum many-body wave functions. In higher dimensions, their utility is however severely limited by the difficulty of contracting the tensor network, an ...
Maurits S. J. Tepaske, David J. Luitz
doaj   +1 more source

SNUPN‐Related Muscular Dystrophy: Novel Phenotypic, Pathological and Functional Protein Insights

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective SNUPN‐related muscular dystrophy or LGMDR29 is a new entity that covers from a congenital or childhood onset pure muscular dystrophy to more complex phenotypes combining neurodevelopmental features, cataracts, or spinocerebellar ataxia. So far, 12 different variants have been described.
Nuria Muelas, Pablo Iruzubieta, Alberto Damborenea, Laura Pérez‐Fernández, Inmaculada Azorín, Juan Carlos Jiménez García, Ana Töpf, Pilar Martí, Lorena Fores‐Toribio, María Manterola, Rosana Blanco‐Mañez, Oihane Pikatza‐Menoio, Sonia Alonso‐Martín, Volker Straub, Aitziber L. Cortajarena, Adolfo López de Munain, David De Sancho, Lorea Blázquez, Juan J. Vilchez   +18 more
wiley   +1 more source

Bistable Mechanisms 3D Printing for Mechanically Programmable Vibration Control

Advanced Engineering Materials, EarlyView.
This work introduces a 3D‐printed bistable mechanism integrated into tuned mass dampers (TMDs) for mechanically adaptive passive vibration suppression. Through optimized geometry, the bistable design provides adaptable vibration reduction across a broad range of scenarios, achieving effective vibration mitigation without complex controls or external ...
Ali Zolfagharian, Frédéric Demoly, Mohammad Lakhi, Bernard Rolfe, Mahdi Bodaghi   +4 more
wiley   +1 more source

Dynamic Precipitation during High‐Pressure Torsion of a Magnesium–Manganese Alloy

Advanced Engineering Materials, EarlyView.
An ultrafine‐grained alloy is produced by high‐pressure torsion of solutionized Mg–1.35 wt% Mn. Precipitation of nanometer‐scale Mn particles during deformation provides pinning sites. This prevents the formation of a bimodal grain structure and results in a finer grain size than for pure Mg.
Julian M. Rosalie, Anton Hohenwarter
wiley   +1 more source

Efficient Parallel Sparse Tensor Contraction

IEEE Transactions on Parallel and Distributed Systems
We investigate the performance of algorithms for sparse tensor-sparse tensor multiplication (SpGETT). This operation, also called sparse tensor contraction, is a higher order analogue of the sparse matrix-sparse matrix multiplication (SpGEMM) operation.
Singh, Somesh, Uçar, Bora
openaire   +4 more sources

A comparison of different solutions for the Dynamic Smagorinsky Model applied in a GCM

Meteorologische Zeitschrift, 2018
A discussion of different approaches and solutions of the basic tensor equation within the Dynamic Smagorinsky Model (DSM) suitable for General Circulation Models (GCM) is presented.
Urs Schaefer-Rolffs
doaj   +1 more source