Geometric and arithmetic characterization of [Formula: see text]-module flatness with applications to tensor products. [PDF]
PLoS OneTang JG, Lei HR, Liu M, Peng JY.
europepmc +1 more source
Advanced Quantum Technologies, EarlyView.Quantum algorithms for differential equations are developed with applications in computational fluid dynamics. The methods follow an iterative simulation framework, implementing Jacobi and Gauss–Seidel schemes on quantum registers through linear combinations of unitaries.
Chelsea A. Williams +4 more
wiley +1 more source
Double BFV Quantisation of 3D Gravity. [PDF]
Commun Math PhysCanepa G, Schiavina M.
europepmc +1 more source
Entanglement Swapping for Partially Entangled Qudits and the Role of Quantum Complementarity
Advanced Quantum Technologies, EarlyView.The entanglement swapping protocol is extended to partially entangled qudit states and analyzed through complete complementarity relations. Analytical bounds on the average distributed entanglement are established, showing how the initial local predictability and entanglement constrain the operational distribution.
Diego S. Starke +3 more
wiley +1 more source
Learning behavior aware features across spaces for improved 3D human motion prediction. [PDF]
Sci RepJi R, Lu C, Huang Z, Zhong J.
europepmc +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 +3 more
wiley +1 more source
Hypercomplex neural networks: Exploring quaternion, octonion, and beyond in deep learning. [PDF]
MethodsXDevadas RM +5 more
europepmc +1 more source
Cone Vertex Algebras, Mock Theta Functions, and Umbral Moonshine Modules. [PDF]
Commun Math PhysCheng MCN, Sgroi G.
europepmc +1 more source
Event‐Triggered Saturating Control for Synchronization of Lur'e Type Complex Dynamic Networks
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This article addresses the problem of synchronizing discrete‐time Lur'e type complex dynamic networks (CDNs) via dynamic event‐triggered control. In particular, it is considered that the control signal of each node is subject to input saturation. Using the Lyapunov Stability Theory, properties of slope‐restricted nonlinearities, and the linear
C. Lisbôa +3 more
wiley +1 more source
Statistical control of relaxation and synchronization in open anyonic systems. [PDF]
Sci RepBittner ER, Tyagi B.
europepmc +1 more source