Results 61 to 70 of about 243 (181)

General Gate Teleportation and the Inner Structure of Its Clifford Hierarchies

Mathematical Methods in the Applied Sciences, Volume 48, Issue 17, Page 15985-15997, 30 November 2025.
ABSTRACT The quantum gate teleportation mechanism allows for the fault‐tolerant implementation of “Clifford hierarchies” of gates assuming, among other things, a fault‐tolerant implementation of the Pauli gates. We discuss how this method can be extended to assume the fault‐tolerant implementation of any orthogonal unitary basis of operators, in such a
Samuel González‐Castillo, Elías F. Combarro, Ignacio F. Rúa, José Ranilla   +3 more
wiley   +1 more source

The geometry and arithmetic of bielliptic Picard curves

Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract We study the geometry and arithmetic of the curves C:y3=x4+ax2+b$C \colon y^3 = x^4 + ax^2 + b$ and their associated Prym abelian surfaces P$P$. We prove a Torelli‐type theorem in this context and give a geometric proof of the fact that P$P$ has quaternionic multiplication by the quaternion order of discriminant 6.
Jef Laga, Ari Shnidman
wiley   +1 more source

Non-local conserved currents and continuous non-invertible symmetries

Journal of High Energy Physics
We embark on a systematic study of continuous non-invertible symmetries, focusing on 1+1d CFTs. We describe a generalized version of Noether’s theorem, where continuous non-invertible symmetries are associated to non-local conserved currents: point-like ...
Diego Delmastro, Adar Sharon, Yunqin Zheng   +2 more
doaj   +1 more source

An optimal system of group-invariant solutions and conserved quantities of a nonlinear fifth-order integrable equation

Open Physics, 2020
In this work, we perform Lie group analysis on a fifth-order integrable nonlinear partial differential equation, which was recently introduced in the literature and contains two dispersive terms.
Simbanefayi Innocent, Khalique Chaudry Masood   +1 more
doaj   +1 more source

Galileo's ship and the relativity principle

Noûs, Volume 59, Issue 3, Page 585-611, September 2025.
Abstract It is widely acknowledged that the Galilean Relativity Principle, according to which the laws of classical systems are the same in all inertial frames in relative motion, has played an important role in the development of modern physics. It is also commonly believed that this principle holds the key to answering why, for example, we do not ...
Sebastián Murgueitio Ramírez
wiley   +1 more source

Stochastic Multisymplectic PDEs and Their Structure‐Preserving Numerical Methods

Studies in Applied Mathematics, Volume 155, Issue 3, September 2025.
ABSTRACT We construct stochastic multisymplectic systems by considering a stochastic extension to the variational formulation of multisymplectic partial differential equations proposed in Hydon [Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461 (2005): 1627–1637].
Ruiao Hu, Linyu Peng
wiley   +1 more source

Noether’s theorem applied to GENERIC

Continuum Mechanics and Thermodynamics
The last decades have seen growing interest in connecting principles of thermodynamics with methods from analytical mechanics. The thermodynamic formalism has become an inspiring framework in the study of smooth dynamical systems, and pioneering works of Helmholtz, Clausius, and Boltzmann have been reinstated as possible dynamical foundations of the ...
Aaron Beyen, Christian Maes
openaire   +2 more sources

Energy in gravitation and Noether’s theorems [PDF]

Journal of Physics A: Mathematical and Theoretical, 2019
Dedicated to the memory of Peter Freund, friend and brilliant colleague for over five decades.
openaire   +3 more sources

Max Noether's Theorem for integral curves

Journal of Algebra, 2018
We generalize, for integral curves, a celebrated result of Max Noether on global sections of the n-dualizing sheaf of a smooth nonhyperelliptic curve. This is our main result. We also obtain an embedding of a non-Gorenstein curve in a way that we can express the dimensions of the components of the ideal in terms of the main invariants of the curve ...
Contiero, André, Feital, Lia, Vidal Martins, Renato   +2 more
openaire   +3 more sources

The Noether Theorems in Context

, 2022
23 pages, to be published in "The Philosophy and Physics of Noether's Theorems", Nicholas Teh, James Read and Bryan Roberts, eds, Cambridge University ...
openaire   +2 more sources