QEC v2.1.0 Explained: Invariant Hardened CSS Construction скачать в хорошем качестве

QEC v2.1.0 Explained: Invariant Hardened CSS Construction

What if the biggest breakthrough in quantum computing wasn’t new hardware… but deleting a random number generator? On February 16, 2026, QEC v2.1.0 dropped — introducing Invariant Hardened CSS Construction. It sounds like a maintenance patch. It’s not. It’s a full architectural shift from probabilistic “generate and check” quantum code construction to deterministic, algebra-enforced guarantees. No more retry loops. No more post-hoc repair logic. No more silent corruption. This update replaces stochastic lift tables with a clean algebraic invariant that mathematically forces orthogonality in Lifted CSS codes. Here’s what we break down: Why earlier CSS construction relied on randomness What “repair logic” was really doing behind the scenes The Additive Lift Invariant (row shift + column shift) Why circulant matrices commute — and why that matters How modulo-2 arithmetic cancels failure automatically What “Fail Fast” means in scientific software Why reproducibility improves when randomness disappears How 89/89 passing tests validates the philosophy This isn’t just faster code generation. It’s a move from empirically stable to mathematically enforced. And that changes everything. If you're building, simulating, or researching quantum error correction — this release is worth understanding. 🔗 LINKS & RESOURCES 📄 Zenodo (v2.1.0 DOI) Trent Slade & Claude (2026). QSOLKCB/QEC: v2.1.0 — Invariant-Hardened CSS Construction https://doi.org/10.5281/zenodo.18660270 💻 GitHub (v2.1.0 branch) https://github.com/QSOLKCB/QEC/tree/v... 💻 Main GitHub Repository https://github.com/QSOLKCB/QEC ⏱️ CHAPTERS 00:00 Jumping Into v2.1.0 00:22 What “Invariant Hardened CSS” Really Means 01:00 The Problem With Stochastic Lift Tables 02:05 Repair Logic & Retry Loops Explained 03:05 Empirical Stability vs Mathematical Enforcement 04:00 The Additive Lift Invariant Formula 05:10 Why Circulant Matrices Commute 06:00 How Modulo-2 Arithmetic Cancels Errors 07:05 From “Generate & Check” to “Generate & Know” 08:15 QLDPC Generator & Galois Fields 09:10 Predefined Code Rates (0.50 / 0.60 / 0.75) 10:05 Ternary Golay & Quacwort Stabilizers 11:20 The “Fail Fast” Philosophy 13:00 Negative Orthogonality Break Tests 14:05 Reproducibility & Determinism 15:00 Hashing Bound Clarification 16:10 Prototype vs Product 17:05 Final Thoughts: The End of Random CSS?