![The numerical solution demonstrates a global error level at [latex]T=1.0[/latex] with a discretization of [latex]N=500[/latex].](https://arxiv.org/html/2512.20840v1/x8.png)
Researchers demonstrate a robust method for simulating wave-like phenomena in unbounded spaces, overcoming limitations of traditional harmonic potential-based approaches.
One might well ask, what did become of our beloved derivatives scene? It shed its ratty knicksacks and hired a butler mid-2025, adopting the polished tics of old money. The CME, with such turn-of-the-century charm, surpassed Binance like a well-timed champagne flute, finally claiming the throne with a twinkle in its institutional eye. 👑
Before the show fully returns in 2026, ITV is airing a special Christmas episode of the popular guessing game. Four celebrities will perform well-known Christmas songs while disguised, and viewers will try to guess their identities.
Siobhan McSweeney will host a special holiday show featuring Sarah Hadland, Tim Vine, Colin Murray, Amber Gill, and pottery experts Keith Brymer Jones and Rich Miller.
Everyone enjoys watching sports sometimes, whether it’s cheering for a favorite local team or following Team GB during major events. We all look forward to seeing athletes compete on the field, pitch, or court.
![This device fabricates a two-qubit superconducting circuit from graphene, integrating it with a three-dimensional copper cavity to enable quantum interactions-specifically, a SQUID-based qubit and a single-Josephson junction qubit are capacitively coupled to a microwave resonator via [latex]C_{g1}[/latex], [latex]C_{g2}[/latex], and [latex]C_{g12}[/latex], demonstrating a pathway toward scalable quantum computation leveraging the unique properties of this two-dimensional material.](https://arxiv.org/html/2512.21213v1/Fig1.jpg)
Researchers are leveraging three-dimensional cavity designs to integrate graphene-based superconducting circuits, opening new pathways for scalable quantum computing.
In their Dec. 23 opus, grandly titled “DOGE: The Cycle Repeats (1W Timeframe),” our analyst dubs this a “textbook fractal setup,” pointing to four (count them, four!) “structural points” in DOGE’s grand history. We’re apparently at “Point 4,” darling, and the pattern, they insist, is “rhyming perfectly” with past pre-bull run accumulation phases. How poetic! 📈✨
Get ready for the Emmerdale take on “Romeo and Juliet,” written by the soap’s resident playwright, John Sugden (Oliver Farnworth). His version has a few twists, though.
![The architecture leverages a lattice of interconnected pentapods-distinguished by left (0) and right (1) configurations and coupled via hopping terms [latex]J_{x_L}[/latex] and [latex]J_{x_R}[/latex]-to encode quantum states [latex]|b(s_1, s_2, p)\rangle[/latex] with control qubits [latex]s_1, s_2 = \pm[/latex] and a target qubit [latex]p = 0, 1[/latex], achieving eight zero-energy degenerate eigenstates at initial parameters [latex]J_{\ell p} = 0[/latex] and demonstrating the successful implementation of both Toffoli and OR quantum gates through state tomography and precise modulation of the driving cycle.](https://arxiv.org/html/2512.21101v1/x4.png)
Researchers demonstrate a novel approach to building quantum computers by harnessing the geometric properties of light within photonic circuits.
No matter how you’re spending Boxing Day, the movie Puss in Boots: The Last Wish offers fun for the whole family. It’s a popular continuation of the story starring Antonio Banderas, and it’s likely to get you excited for the next Shrek movie, coming in 2027.