Results 21 to 30 of about 116 (103)
Efficient Gaussian Simulations of Fermionic Open Quantum Systems
Advanced Quantum Technologies, Volume 9, Issue 4, April 2026.Building upon Bravyi's fundamental theoretical framework, efficient classical simulation methods are reviewed and further developed for general fermionic Gaussian processes. The emphasis remains on a unified approach applicable to generic fermionic Gaussian operations.
Yinan Fang +3 more
wiley +1 more source
Bilinear covariants and spinor fields duality in quantum Clifford algebras [PDF]
Journal of Mathematical Physics, 2014 Classification of quantum spinor fields according to quantum bilinear covariants is introduced in a context of quantum Clifford algebras on Minkowski spacetime. Once the bilinear covariants are expressed in terms of algebraic spinor fields, the duality between spinor and quantum spinor fields can be discussed. Thus, by endowing the underlying spacetime
Abłamowicz, Rafał +2 more
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Noncommutative polygonal cluster algebras
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg +3 more
wiley +1 more source
, 2011 Expository notes on Clifford algebras and spinors with a detailed discussion of Majorana, Weyl, and Dirac spinors. The paper is meant as a review of background material, needed, in particular, in now fashionable theoretical speculations on neutrino masses.
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Analyzing the Free States of one Quantum Resource Theory as Resource States of Another
Advanced Quantum Technologies, Volume 9, Issue 2, February 2026.The article investigates how free states in one quantum resource theory can become highly resourceful in another. It systematically studies multipartite entanglement, fermionic non‐Gaussianity, imaginarity, realness, spin coherence, Clifford non‐stabilizerness, Sn‐equivariance, and non‐uniform entanglement, combining rigorous analytical tools and ...
Andrew E. Deneris +5 more
wiley +1 more source
Derangements in intransitive groups
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Let G$G$ be a nontrivial permutation group of degree n$n$. If G$G$ is transitive, then a theorem of Jordan states that G$G$ has a derangement. Equivalently, a finite group is never the union of conjugates of a proper subgroup. If G$G$ is intransitive, then G$G$ may fail to have a derangement, and this can happen even if G$G$ has only two ...
David Ellis, Scott Harper
wiley +1 more source
Alperin's bound and normal Sylow subgroups
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Let G$G$ be a finite group, p$p$ a prime number and P$P$ a Sylow p$p$‐subgroup of G$G$. Recently, Malle, Navarro, and Tiep conjectured that the number of p$p$‐Brauer characters of G$G$ coincides with that of the normalizer NG(P)${\bf N}_G(P)$ if and only if P$P$ is normal in G$G$.
Zhicheng Feng +2 more
wiley +1 more source
Annalen der Physik, Volume 538, Issue 1, January 2026.The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley +1 more source
Leonardo Cartan Numbers and Related Fibonacci–Lucas Structures
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the Leonardo Cartan numbers, defined as an extension of the classical Leonardo sequence through additional algebraic structures. The recurrence relations of these numbers are established, and various summation formulas are derived.
Hasan Çakır +2 more
wiley +1 more source
Annalen der Physik, Volume 537, Issue 12, December 2025.A set of particle representations, familiar from the Standard Model, collectively form a superalgebra. Those representations mirroring the behaviour of the Standard Model's gauge bosons, and three generations of fermions, are each included in this algebra, with exception only to those representations involving the top quark.
N. Furey
wiley +1 more source