Results 71 to 80 of about 64,232 (230)

Multi Matrix Vector Coherent States

, 2004
A class of vector coherent states is derived with multiple of matrices as vectors in a Hilbert space, where the Hilbert space is taken to be the tensor product of several other Hilbert spaces.
A. Krzyżak, Ali, Ali, Antoine, Ashraf, Daoud, Erdelyi, Fakhri, G. Honnouvo, Gao, Gazeau, Janowicz, K. Thirulogasanthar, Klauder, Klauder, Klauder, Novaes, Perelomov, Thirulogasanthar, Thirulogasanthar, Tian   +20 more
core   +2 more sources

Duality for Evolutionary Equations With Applications to Null Controllability

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley   +1 more source

The quantum Hilbert space of a chiral two-form in d = 5 + 1 dimensions

, 2001
We consider the quantum theory of a two-form gauge field on a space-time which is a direct product of time and a spatial manifold, taken to be a compact five-manifold with no torsion in its cohomology.
E. Witten, E. Witten, M. Henningson, M. Henningson, M. Henningson, Måns Henningson, O. Aharony   +6 more
core   +1 more source

Simulating Quantum State Transfer Between Distributed Devices Using Noisy Interconnects

Advanced Quantum Technologies, EarlyView.
Noisy connections challenge future networked quantum computers. This work presents a practical method to address this by simulating an ideal state transfer over noisy interconnects. The approach reduces the high sampling cost of previous methods, an advantage that improves as interconnect quality gets better.
Marvin Bechtold, Johanna Barzen, Frank Leymann, Alexander Mandl   +3 more
wiley   +1 more source

On (n,D)- quasi Operators

Iraqi Journal for Computer Science and Mathematics
T Through the article, we will provide an entirely novel type of quasi operators base on the concept of D razin inverse in Operator theory which is named (n,D) -quasi operators on the Hilbert spaces, also we explain the sum, product, and other features ...
salim dawood mohsen
doaj   +1 more source

A Proper Generalized Decomposition for the solution of elliptic problems in abstract form by using a functional Eckart-Young approach [PDF]

, 2011
International audienceThe Proper Generalized Decomposition (PGD) is a methodology initially proposed for the solution of partial dierential equations (PDE) dened in tensor product spaces.
Falco, Antonio, Nouy, Anthony
core   +1 more source

Symmetries of finite Heisenberg groups for multipartite systems

, 2012
A composite quantum system comprising a finite number k of subsystems which are described with position and momentum variables in Z_{n_{i}}, i=1,...,k, is considered.
Korbelar, M., Tolar, J.
core   +1 more source

Digital Twin Simulations Toolbox of the Nitrogen‐Vacancy Center in Diamond

Advanced Quantum Technologies, EarlyView.
The Nitrogen‐vacancy (NV) center in diamond is a key platform within quantum technologies. This work introduces a Python based digital‐twin of the NV, where the spin dynamics of the system is simulated without relying on commonly used approximations, such as the adoption of rotating frame. The digital‐twin is validated through three different examples,
Lucas Tsunaki, Anmol Singh, Sergei Trofimov, Boris Naydenov   +3 more
wiley   +1 more source

Loss Behavior in Supervised Learning With Entangled States

Advanced Quantum Technologies, EarlyView.
Entanglement in training samples supports quantum supervised learning algorithm in obtaining solutions of low generalization error. Using analytical as well as numerical methods, this work shows that the positive effect of entanglement on model after training has negative consequences for the trainability of the model itself, while showing the ...
Alexander Mandl, Johanna Barzen, Marvin Bechtold, Frank Leymann, Lavinia Stiliadou   +4 more
wiley   +1 more source

Robust Control Design and Analysis Based on Lifting Linearization of Nonlinear Systems Under Uncertain Initial Conditions

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning‐based lifting approach is proposed to approximate nonlinear dynamical systems with linear parameter‐varying (LPV) state‐space models in higher‐dimensional spaces while simultaneously ...
Sourav Sinha, Mazen Farhood
wiley   +1 more source