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Learning stabilizer structure of quantum states
Srinivasan Arunachalam, Arkopal Dutt
https://arxiv.org/abs/2510.05890 https://arxiv.org/pdf/2510.05890

Learning stabilizer structure of quantum states
We consider the task of learning a structured stabilizer decomposition of an arbitrary $n$-qubit quantum state $|ψ\rangle$: for $\varepsilon > 0$, output a state $|ϕ\rangle$ with stabilizer-rank $\textsf{poly}(1/\varepsilon)$ such that $|ψ\rangle=|ϕ\rangle+|ϕ'\rangle$ where $|ϕ'\rangle$ has stabilizer fidelity $< \varepsilon$. We firstly show the existence of such decompositions using the recently established inverse theorem for the Gowers-$3$ norm of states …

Affine-Orthogonal Manifolds and Deformation to Levi-Civita Connections
Mihail Cocos
https://arxiv.org/abs/2510.09648 https://arxiv.org/pdf/2510.09648

Affine-Orthogonal Manifolds and Deformation to Levi-Civita Connections
We study a class of affine manifolds equipped with a flat affine connection $\nabla$ and a global Riemannian metric $g$ that is diagonal in local affine coordinates. These structures are closely related to \emph{Hessian manifolds}, where the metric locally arises as the Hessian of a smooth potential. For example, the Hopf manifold $(\mathbb{R}^{n+1}\setminus \{0\}) / \langle x \mapsto 2x \rangle$ with metric $g = (\sum_i x_i^2)^{-1} \sum_i dx_i^2$ admits a proper deformation of $\nabla$ into it…

Nuclear spin quenching of the $^2S_{1/2}\rightarrow {^2}F_{7/2} $ electric octupole transition in $^{173}$Yb$^ $
Jialiang Yu, Anand Prakash, Clara Zyskind, Ikbal A. Biswas, Rattakorn Kaewuam, Piyaphat Phoonthong, Tanja E. Mehlst\"aubler
https://arxiv.org/abs/2512.05872 https://arxiv.org/pdf/2512.05872 https://arxiv.org/html/2512.05872
arXiv:2512.05872v1 Announce Type: new
Abstract: We report the coherent excitation of the highly forbidden $^2S_{1/2} \rightarrow {^2}F_{7/2}$ clock transition in the odd isotope $^{173}\mathrm{Yb}^ $ with nuclear spin $I = 5/2$, and reveal the hyperfine-state-dependent, nuclear spin induced quenching of this transition. The inferred lifetime of the $F_e = 4$ hyperfine state is one order of magnitude shorter than the unperturbed ${^2}F_{7/2}$ clock state of $^{171}\mathrm{Yb}^ $. This reduced lifetime lowers the required optical power for coherent excitation of the clock transition, thereby reducing the AC Stark shift caused by the clock laser. Using a 3-ion Coulomb crystal, we experimentally demonstrate an approximately 20-fold suppression of the AC Stark shift, a critical improvement for the scalability of future multi-ion $\mathrm{Yb}^ $ clocks. Furthermore, we report the $|^2S_{1/2},F_g=3\rangle~\rightarrow~|^2F_{7/2},F_e=6\rangle$ unquenched reference transition frequency as $642.11917656354(43)$ THz, along with the measured hyperfine splitting and calculated quadratic Zeeman sensitivities of the ${^2}F_{7/2}$ clock state. Our results pave the way toward multi-ion optical clocks and quantum computers based on $^{173}\mathrm{Yb}^ $.
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Meta setzt für KI bei Facebook und Instagram stärker auf ARM
Die KI-Algorithmen Metas für Ranglisten und Empfehlungen wurden bereits auf ARM optimiert. Künftig werden über 3 Milliarden Meta-Nutzer ARMs Neoverse verwenden.

Formal Cantor's theorem via abbreviations
Martin Klazar
https://arxiv.org/abs/2510.02620 https://arxiv.org/pdf/2510.02620

Formal Cantor's theorem via abbreviations
We devise a calculus of abbreviation schemes for ZF formulas. These formulas are certain words over the alphabet $$ \{x_1,\,x_2,\,\dots\}\cup \{\in,\,=,\,\neg, \,\to,\,\leftrightarrow,\,\wedge,\, \vee,\,\exists,\,\forall,\,(,\,)\} $$ and have interpretations in structures $M=\langle X,\in_M,=_M\rangle$. In them $X$ is any nonempty set, $\in_M\,\subset X\times X$ and $=_M$ is $\{\langle x,x\rangle\colon\;x\in X\}$. Using an abbreviation scheme of length 9 we produce a ZF sentence $φ$ with lengt…

Lederen i Fellesforbundet siteres i Aftenposten:
"Han legger til at sammensetningen av kommisjonen vil ha litt å si.
– Det er viktig at det er folk som kan næringslivet, og ikke folk har særinteresser på miljŸfeltet, som blir puttet inn der."
Hva er det å ha en "særinteresse" på miljŸfeltet? Å være mer avhengig av jordens livsgrunnlag enn andre?

Oljebransjen skryter av MDGs budsjettgjennomslag:
MDG har fått gjennomslag for en omstillingskommisjon. Dette ønsker Fellesforbundet og oljebransjen velkommen.

Stochastic Modeling and Upscaling of Hydrodynamic Transport in Geological Fractures
Alessandro Lenci, Yves M\'eheust, Marco Dentz, Vittorio Di Federico
https://arxiv.org/abs/2510.07272

Stochastic Modeling and Upscaling of Hydrodynamic Transport in Geological Fractures
Characterizing hydrodynamic transport in fractured rocks is essential for carbon storage and geothermal energy production. Multiscale heterogeneities lead to anomalous solute transport, with breakthrough-curve (BTC) tailing and nonlinear growth of plume moments. We study purely advective transport in synthetic fractures with prescribed relative closure $ σ_a/\langle a \rangle $ and correlation length $ L_c $. For each geometry we generate multiple realizations and solve steady, depth-averaged …

Cosmological Hydrodynamics at Exascale: A Trillion-Particle Leap in Capability
Nicholas Frontiere, J. D. Emberson, Michael Buehlmann, Esteban M. Rangel, Salman Habib, Katrin Heitmann, Patricia Larsen, Vitali Morozov, Adrian Pope, Claude-Andr\'e Faucher-Gigu\`ere, Antigoni Georgiadou, Damien Lebrun-Grandi\'e, Andrey Prokopenko
https://

Cosmological Hydrodynamics at Exascale: A Trillion-Particle Leap in Capability
Resolving the most fundamental questions in cosmology requires simulations that match the scale, fidelity, and physical complexity demanded by next-generation sky surveys. To achieve the realism needed for this critical scientific partnership, detailed gas dynamics, along with a host of astrophysical effects, must be treated self-consistently with gravity for end-to-end modeling of structure formation. As an important step on this roadmap, exascale computing enables simulations that span survey…

Explicit formulae for the Aicardi-Juyumaya bracket of tied links
O'Bryan C\'ardenas-Andaur, Juan Gonz\'alez-Meneses, Marithania Silvero
https://arxiv.org/abs/2510.02075

Explicit formulae for the Aicardi-Juyumaya bracket of tied links
The double bracket $\langle \langle \cdot \rangle \rangle$ (also known as the AJ-bracket) is an invariant of framed tied links that extends the Kauffman bracket of classical links. Unlike the classical setting, little is known about the structure of AJ-states (analogous to classical Kauffman states) of a given tied link diagram, and no general state-sum formula for the AJ-bracket is currently available. In this paper we analyze the AJ-states of $2$- and $3$-tied link diagrams, and provide a com…

A New Quantum Linear System Algorithm Beyond the Condition Number and Its Application to Solving Multivariate Polynomial Systems
Jianqiang Li
https://arxiv.org/abs/2510.05588 ht…

A New Quantum Linear System Algorithm Beyond the Condition Number and Its Application to Solving Multivariate Polynomial Systems
Given a matrix $A$ of dimension $M \times N$ and a vector $\vec{b}$, the quantum linear system (QLS) problem asks for the preparation of a quantum state $|\vec{y}\rangle$ proportional to the solution of $A\vec{y} = \vec{b}$. Existing QLS algorithms have runtimes that scale linearly with the condition number $κ(A)$, the sparsity of $A$, and logarithmically with inverse precision, but often overlook structural properties of $\vec{b}$, whose alignment with $A$'s eigenspaces can greatly affec…