Results 1 to 10 of about 568 (161)

Squeezing anyons for braiding on small lattices

open access: yesPhysical Review Research, 2021
Adiabatically exchanging anyons gives rise to topologically protected operations on the quantum state of the system, but the desired result is only achieved if the anyons are well separated, which requires a sufficiently large area.
N. S. Srivatsa   +2 more
doaj   +1 more source

On nondegenerate orbits of 7-dimensional Lie algebras containing a 3-dimensional Abelian ideal

open access: yesСовременная математика: Фундаментальные направления
This paper is related to the problem of describing homogeneous real hypersurfaces of multidimensional complex spaces as orbits of the action of Lie groups and algebras in these spaces.
A. V. Atanov, A. V. Loboda
doaj   +1 more source

Digital Quantum Simulation of Nonadiabatic Geometric Gates via Shortcuts to Adiabaticity

open access: yesEntropy, 2020
Geometric phases are used to construct quantum gates since it naturally resists local noises, acting as the modularized units of geometric quantum computing.
Yapeng Wang   +3 more
doaj   +1 more source

Capitulation of the 2-ideal classes of type (2, 2, 2) of some quartic cyclic number fields

open access: yesJournal of Mathematical Cryptology, 2019
Let p≡3(mod4){p\equiv 3\pmod{4}} and l≡5(mod8){l\equiv 5\pmod{8}} be different primes such that pl=1{\frac{p}{l}=1} and 2p=pl4{\frac{2}{p}=\frac{p}{l}_{4}}. Put k=ℚ⁢(l){k=\mathbb{Q}(\sqrt{l})}, and denote by ϵ its fundamental unit. Set K=k⁢(-2⁢p⁢ϵ⁢l){K=k(
Azizi Abdelmalek   +3 more
doaj   +1 more source

Horizon symmetries and hairy black holes in AdS

open access: yesJournal of High Energy Physics, 2020
We investigate whether supertranslation symmetry may appear in a scenario that involves black holes in AdS space. The framework we consider is massive 3D gravity, which admits a rich black hole phase space, including stationary AdS black holes with ...
Laura Donnay   +2 more
doaj   +1 more source

XY* Transition and Extraordinary Boundary Criticality from Fractional Exciton Condensation in Quantum Hall Bilayer

open access: yesPhysical Review X, 2023
XY* transitions represent one of the simplest examples of unconventional quantum criticality, in which fractionally charged excitations condense into a superfluid and display novel features that combine quantum criticality and fractionalization ...
Ya-Hui Zhang   +2 more
doaj   +1 more source

The equations of singular loci of ample divisors on (subvarieties of) abelian varieties

open access: yesLe Matematiche, 2008
In this paper we consider ideal sheaves associated to the singular loci of a divisor in a linear system |L| of an ample line bundle on a complex abelian variety.
Luigi Lombardi, Francesco Malaspina
doaj  

The Near-Ring of Lipschitz Functions on a Metric Space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
This paper treats near-rings of zero-preserving Lipschitz functions on metric spaces that are also abelian groups, using pointwise addition of functions as addition and composition of functions as multiplication.
Mark Farag, Brink van der Merwe
doaj   +1 more source

Carrollian approach to 1 + 3D flat holography

open access: yesJournal of High Energy Physics, 2023
The isomorphism between the (extended) BMS4 algebra and the 1 + 2D Carrollian conformal algebra hints towards a co-dimension one formalism of flat holography with the field theory residing on the null-boundary of the asymptotically flat space-time ...
Amartya Saha
doaj   +1 more source

Blaschke inductive limits of uniform algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We consider and study Blaschke inductive limit algebrasA(b), defined as inductive limits of disc algebras A(D) linked by a sequence b={Bk}k=1∞ of finite Blaschke products.
S. A. Grigoryan, T. V. Tonev
doaj   +1 more source

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