Tootfinder

Collapses in quantum-classical probabilistically checkable proofs and the quantum polynomial hierarchy
Kartik Anand, Kabgyun Jeong, Junseo Lee
https://arxiv.org/abs/2506.19792

Collapses in quantum-classical probabilistically checkable proofs and the quantum polynomial hierarchy
We investigate structural properties of quantum proof systems by establishing collapse results that uncover simplifications in their complexity landscape. We extend classical results such as the Karp-Lipton theorem to quantum polynomial hierarchy with quantum proofs and establish uniqueness preservation for quantum-classical probabilistically checkable proof systems. Our main contributions are threefold. First, we prove that restricting quantum-classical PCP systems to uniqueness does not red…

Frequency Differences between Clocks on the Earth and the Moon
Mingyue Zhang, J\"urgen M\"uller, Sergei M. Kopeikin
https://arxiv.org/abs/2506.16377

Frequency Differences between Clocks on the Earth and the Moon
Based on general relativity, clock comparisons enable the determination of the gravity potential relative to a stable reference. Lunar surface clocks, owing to the Moon's low-noise conditions, high orbital stability, and broad Earth visibility, are promising reference clocks for global-scale comparisons between terrestrial clocks. Meanwhile, the need for an independent lunar time system-driven by future lunar navigation-requires maintaining links to terrestrial standards. This Letter simulates …

Coexistence of anomalous spin dynamics and weak magnetic order in a chiral trillium lattice K2FeSn(PO4)3
J. Khatua, S. Krishnamoorthi, Changhyun Koo, Gyungbin Ban, Taeyun Kim, Suyoung Kim, Yugo Oshima, Jonas A. Krieger, Thomas J. Hicken, Hubertus Luetkens, Marc Uhlarz, Eundeok Mun, Kyeong Jun Lee, Seo Hyoung Chang, R. Sankar, Kwang-Yong Choi
https://…

Coexistence of anomalous spin dynamics and weak magnetic order in a chiral trillium lattice K2FeSn(PO4)3
Trillium lattices, where magnetic ions form a three-dimensional chiral network of corner-sharing equilateral triangular motifs, offer a prominent platform to explore exotic quantum states. In this work, we report ground-state properties of the $S$ = 5/2 trillium lattice compound K$_{2}$FeSn(PO$_{4}$)$_{3}$ through thermodynamic, electron spin resonance (ESR), and muon spin relaxation ($μ$SR) experiments. Thermodynamic and ESR measurements reveal the two-step evolution of magnetic correlations …

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