Tootfinder

Contributions to the Theory of Clifford-Cyclotomic Circuits
Linh Dinh (Dalhousie University), Neil J. Ross (Dalhousie University)
https://arxiv.org/abs/2508.14674 https://

Contributions to the Theory of Clifford-Cyclotomic Circuits
Let $n$ be a positive integer divisible by 8. The Clifford-cyclotomic gate set $\mathcal{G}_n$ consists of the Clifford gates, together with a $z$-rotation of order $n$. It is easy to show that, if a circuit over $\mathcal{G}_n$ represents a unitary matrix $U$, then the entries of $U$ must lie in $\mathcal{R}_n$, the smallest subring of $\mathbb{C}$ containing $1/2$ and $\mathrm{exp}(2πi/n)$. The converse implication, that every unitary $U$ with entries in $\mathcal{R}_n$ can be represented by…

Trump says he will fire labor statistics chief after weak jobs report (Neil Irwin/Axios)
https://www.axios.com/2025/08/01/trump-jobs-labor-statistics
http://www.memeorandum.com/250801/p123#a250801p123

Heat Transport and Dissipation in 2.5D Rotating Internally Heated and Cooled Convection
Tom Joshi-Hartley (University of Exeter), Matthew K. Browning (University of Exeter), Laura K. Currie (Durham University), Neil T. Lewis (University of Exeter), Benjamin P. Brown (University of Colorado at Boulder), Simon R. W. Lance (University of Exeter)
https:/…

Heat Transport and Dissipation in 2.5D Rotating Internally Heated and Cooled Convection
Models of astrophysical convection, such as mixing length theory, typically assume that the heat transport is independent of microphysical diffusivities. Such 'diffusion-free' behaviour is, however, not observed in numerical simulations employing standard fixed-flux or fixed-temperature boundary conditions, except possibly in extreme parameter regimes that are computationally expensive to achieve. Recent numerical and experimental work has suggested that internally heated and cooled convection …

Measuring the splashback feature: Dependence on halo properties and history
Qiaorong S. Yu (Oxford Math, Oxford Physics), Stephanie O'Neil (UPenn, Princeton, MIT), Xuejian Shen (MIT), Mark Vogelsberger (MIT), Sownak Bose (Durham), Boryana Hadzhyska (Lawrence Berkeley Lab, UC Berkeley, Cambridge Astronomy, Kavli Institute Cambridge), Lars Hernquist (CfA Harvard), Rahul Kannan (York), Monica Wu (NYU Math), Ziang Wu (NYU Math, NYU Engineering)

Measuring the splashback feature: Dependence on halo properties and history
In this study, we define the novel splashback depth $\mathcal{D}$ and width $\mathcal{W}$ to examine how the splashback features of dark matter haloes are affected by the physical properties of haloes themselves. We use the largest simulation run in the hydrodynamic MillenniumTNG project. By stacking haloes in bins of halo mass, redshift, mass-dependent properties such as peak height and concentration, and halo formation history, we measure the shape of the logarithmic slope of the density prof…