Tootfinder

On the symmetry behind duality
Marco Abbadini, Achim Jung
https://arxiv.org/abs/2507.18245 https://arxiv.org/pdf/2507.18245

On the symmetry behind duality
Open sets and compact saturated sets enjoy a perfect formal symmetry, at least for classes of spaces such as Stone spaces or spectral spaces. For larger classes of spaces, a perfect symmetry may not be available, although strong signs of it may remain. These signs appear especially in the classes of spaces involved in Stone-like dualities (such as sober spaces). In this article, we introduce a framework with a perfect symmetry between open sets and compact saturated sets, and which includes s…

🔊 #NowPlaying on #BBCRadio3:
#ClassicalLive
- Schubert’s Unfinished Symphony from Sweden
Mark Forrest showcases the best performances from the UK and beyond, including Maxim Emelyanychev conducting the Swedish Radio Symphony Orchestra in Schubert’s 8th Symphony.
Relisten now 👇
https://www.bbc.co.uk/programmes/m002dmx4

I guess I should add that Firebase’s security model is still broken in the sense of being dangerously easy to mess up (despite its maintainers’ heroic efforts), that this is a problem that’s fundamentally baked into it the product’s whole value proposition of eliminating huge swaths of server-side development and is thus not readily solvable, and that these ongoing Firebase breaches are a classic case study in how far and how stubbornly the effects of abstraction choices can reach.

Few would label Mace kind or gentle
As she engages in a relentless crusade against trans rights, she is more one-trick pony than “caucus of one."
https://newrepublic.com/article/196207/nancy-mace-future-republican-party

Nancy Mace Is the Future of the Republican Party
The South Carolina representative isn’t just a bigot and a laughing stock. She’s pioneering a media strategy that her GOP colleagues will follow.

Quantum Secret Sharing with Classical and Quantum Shares
Hua Sun
https://arxiv.org/abs/2507.17364 https://arxiv.org/pdf/2507.17364

Quantum Secret Sharing with Classical and Quantum Shares
In quantum secret sharing, a quantum secret state is mapped to multiple shares such that shares from qualified sets can recover the secret state and shares from other forbidden sets reveal nothing about the secret state; we study the setting where there are both classical shares and quantum shares. We show that the quantum secret sharing problem with both classical and quantum shares is feasible if and only if any two qualified sets have some quantum share in common. Next, for threshold quantum…

Hölick #halsingland #Hudiksvall 24 grader i vattnet, stora vågor, sol och en kite-surfare.
Swedish summer, 24 degrees celsius in the water, nice waves and a kite-surfer in the far

PhasePoly: An Optimization Framework forPhase Polynomials in Quantum Circuits
Zihan Chen, Henry Chen, Yuwei Jin, Minghao Guo, Enhyeok Jang, Jiakang Li, Caitlin Chan, Won Woo Ro, Eddy Z. Zhang
https://arxiv.org/abs/2506.20624

PhasePoly: An Optimization Framework forPhase Polynomials in Quantum Circuits
Quantum computing has transformative computational power to make classically intractable computing feasible. As the algorithms that achieve practical quantum advantage are beyond manual tuning, quantum circuit optimization has become extremely important and integrated into today's quantum software stack. This paper focuses on a critical type of quantum circuit optimization -- phase-polynomial optimization. Phase polynomials represents a class of building-block circuits that appear frequently in…

Nonlinear Enhancement of Measurement Precision via a Hybrid Quantum Switch
Lei Chen, Yu-Xiang Yang, Gong-Chu Li, Xu-Song Hong, Si-Qi Zhang, Hua-Qin Xu, Yuan-Cheng Liu, Giulio Chiribella, Geng Chen, Chuan-Feng Li, Guang-Can Guo
https://arxiv.org/abs/2506.20632

Nonlinear Enhancement of Measurement Precision via a Hybrid Quantum Switch
Quantum metrology promises measurement precision beyond the classical limit by using suitably tailored quantum states and detection strategies. However, scaling up this advantage is experimentally challenging, due to the difficulty of generating high-quality large-scale probes. Here, we build a photonic setup that achieves enhanced precision scaling by manipulating the probe's dynamics through operations performed in a coherently controlled order. Our setup applies an unknown rotation and a kno…

Data Transmission over a Bosonic Arbitrarily Varying Quantum Channel
Janis N\"otzel, Florian Seitz
https://arxiv.org/abs/2507.18259 https://arxiv.org/…

Data Transmission over a Bosonic Arbitrarily Varying Quantum Channel
Arbitrarily varying channels offer a powerful framework for analyzing the robustness of quantum communication systems, especially for classical-quantum models, where the analysis displays strengths or weaknesses of specific signal constellations under generic attacks. In this work, we provide a coding theorem for a large class of practically relevant arbitrarily varying channel models. Namely, we give an explicit capacity formula for the lossy bosonic channel subject to semi-classical attacks, …

Dynamics of discrete spacetimes with Quantum-enhanced Markov Chain Monte Carlo
Stuart Ferguson, Arad Nasiri, Petros Wallden
https://arxiv.org/abs/2506.19538

Dynamics of discrete spacetimes with Quantum-enhanced Markov Chain Monte Carlo
Quantum algorithms offer the potential for significant computational advantages; however, in many cases, it remains unclear how these advantages can be practically realized. Causal Set Theory is a discrete, Lorentz-invariant approach to quantum gravity which may be well positioned to benefit from quantum computing. In this work, we introduce a quantum algorithm that investigates the dynamics of causal sets by sampling the space of causal sets, improving on classical methods. Our approach builds…