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9 papers
Transformation Semigroup Perspective on the Magma Monoid
Yakiv Baiduk, Sergiy Kozerenko
The monoid of all binary operations was first introduced by H. S. Kim and J. Neggers in 2008. Since then, different aspects and applications of this monoid were studied, while seve…
Nonclassical photocounting statistics with a single on-off detector
V. S. Kovtoniuk, M. Bohmann, A. A. Semenov
Any single on-off photocounter, which can only detect the presence or absence of photons without discriminating their number, is not capable of identifying nonclassical nature of l…
Quantum optics in the turbulent atmosphere: Fundamental issues and applications
A. A. Semenov, M. Klen, I. Pechonkin
Quantum light propagation through turbulent atmosphere has become a subject of intensive research, spanning both theoretical and experimental studies. This interest is driven by it…
Circular-beam approximation for quantum channels in a turbulent atmosphere
I. Pechonkin, M. Klen, A. A. Semenov
The evolution of quantum states of light in free-space channels is strongly influenced by atmospheric turbulence, posing a significant challenge for quantum communication. The tran…
Humanity's Last Exam
Long Phan, Alice Gatti, Ziwen Han +1144
Benchmarks are important tools for tracking the rapid advancements in large language model (LLM) capabilities. However, benchmarks are not keeping pace in difficulty: LLMs now achi…
Frobenius structure and -adic zeta values
Frits Beukers, Masha Vlasenko
For differential operators of Calabi-Yau type, Candelas, de la Ossa and van Straten conjecture the appearance of -adic zeta values in the matrix entries of their -adic Froben…