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physics & quantum
Topological & Categorical Quantum Error Correction
12 papers · full PDFs hosted on-site.
| # | Paper | |
|---|---|---|
| 01 | Braiding Operations in Topological Quantum Systems: Theoretical Foundations, Physical Parallels, and Computational Implications | PDF ↗ |
| 02 | Towards Self-Correcting Topological Codes Through Functorial Physics: Unifying Universal Invariants, Braided Categories, and Thermodynamics | PDF ↗ |
| 03 | Hardware Layout | PDF ↗ |
| 04 | Proof-of-Concept: A Curry–Howard Approach to Universal Invariants and Error Correction in Haskell | PDF ↗ |
| 05 | The Principle of Least Action and Penalty Terms in Quantum Error Correction Codes | PDF ↗ |
| 06 | Proof as Code in Mathematics and Quantum Physics: A Type-Theoretic Approach to Formalizing Physical Phenomena | PDF ↗ |
| 07 | Towards a Unified Framework of Mathematics, Physics, and Computer Science: The Proof-as-Code Paradigm and Its Applications to Quantum Phenomena | PDF ↗ |
| 08 | Towards Self-Correcting Topological Codes Through Functorial Physics: An Abstract | PDF ↗ |
| 09 | Towards Derived Universal Error Invariants: Quantum Error Correction as Inverse Topological State | PDF ↗ |
| 10 | Quantum Error Correction via Topological Approaches: A Categorical Perspective with Thermodynamic Considerations | PDF ↗ |
| 11 | Formalizing Quantum Error Correction Through Code: A Rigorous Approach to Fault-Tolerant Quantum Information Processing | PDF ↗ |
| 12 | Universal Invariants and Inverse Topological States in Quantum Error Correction: A Categorical and Thermodynamic Approach via Lambek’s Lemma | PDF ↗ |