Breaking RSA-2048 with 23,000 cat qubits. 🐈 In 3.14 days
This is the finding of our new paper, the latest resource estimate for Shor’s algorithm, the benchmark the whole field uses to compare quantum hardware 📄
The results are a record low for total quantum resources at this speed of execution, about 40 times fewer physical qubits than @GoogleQuantumAI 's Craig Gidney 2025 estimate. 🏁
RSA-2048 is the lock behind secure websites, banking and software updates 🔐 Shor's algorithm has been able to break it, on paper since 1994. Nobody has built the machine yet, but every year the estimate of how big it needs to be gets a little smaller.
In 2019, the best estimate was 20 million qubits. In 2024, ours was just under 100,000. Now 22,593, in 3.14 days. Yes, pi 🥧
Small isn't enough. Fast isn't enough. The new study optimizes for both. 😼
Bitcoin, Ethereum and most blockchains aren't secure either, about 30,000 qubits would be needed to crack a Bitcoin key in about an hour ₿ ⏳
How we got here, what it means for cryptography, and when it all converges, our CEO Théau Peronnin talks about it in the blog 👇
📝 Blog - https://t.co/K3E5pxTUMv
📄 Paper - https://t.co/kiC9JZz66u
Stay curious, more info coming soon 👀
#QuantumComputing #CatQubits #ShorsAlgorithm #PostQuantumCryptography #Cryptography #FaultTolerance #DeepTech
We’re sharing a solution to the Navier-Stokes Millennium Prize Problem, one of the deepest problems at the frontier of mathematics.
The proof was produced by a group of agents, using an OpenAI next-generation model significantly more capable than GPT-6 Astra.
The problem concerns whether the description of smooth three-dimensional fluid motion modeled by the Navier-Stokes equations can break down. It has remained unresolved for roughly 90 years.
The week before Christmas 2025, five mathematicians were holed up at ETH Zurich with a singular goal: perfecting a solution to one of the biggest open problems in percolation theory. By Christmas, they had the proof. https://t.co/VGYpIliAEA
I am thrilled to announce AQIS 2027 at Tsukuba. The date is August 23rd - 27th, 2027. The venue is @UNIV_TSUKUBA_EN University Hall. Tsukuba is located 1-2 hours by train/bus from Tokyo. Please book your schedule and consider your contribution.
Some locals in the Swiss city of Bern invented a unique way to travel from their offices to their homes during hot summer days: by swimming and rafting in the currents of the Aare River.
spin-1 XXZ模型のHaldane相をリソースとするMBQCについての論文がPRAから出版されました!M2の大田さんが異方性を加えるとゲート忠実度が上がることを発見しました!
Our paper on MBQC using the spin-1 XXZ model with uniaxial anisotropy has now published in PRA!
https://t.co/Cq1ofVjDnD
グラフ状態のノイズ耐性についての論文がQuantumから出版されました! 多くの研究室メンバーと共同研究者の方々との共同研究の成果です!
Happy to announce that our paper "Phase Transitions and Noise Robustness of Quantum Graph States" has been published in Quantum!
https://t.co/JsAJCy14Gh