Add comprehensive prerequisites documentation for Topological Quantum Computing

[Copilot]

Addresses the need for explicit mathematical and theoretical prerequisites for understanding Topological Quantum Computing, covering TQFT, type theory, category theory, logic, and condensed matter physics as specified in the computational trilogy framework.

Changes

New file: Prerequisites.md (371 lines)

• Mathematical foundations: Linear algebra, group theory, topology, abstract algebra with emphasis on Hilbert spaces, braid groups, and homological structures
• TQFT core: Atiyah-Segal axioms, modular tensor categories (fusion rules, braiding, F/R/S matrices), anyonic systems, and Chern-Simons theory
• Type theory: Curry-Howard correspondence, linear types for quantum no-cloning, HoTT connections to topology
• Category theory: Monoidal categories, functors as TQFT maps, string diagrams, cobordism hypothesis
• Computational trilogy: Logic ↔ Type Theory ↔ Category Theory correspondence table mapping propositions/proofs to types/programs to objects/morphisms
• Condensed matter: Topological phases, FQHE ν=5/2 states, Majorana zero modes, experimental platforms
• Learning paths: Structured beginner → expert progression
• References: ~30 citations to authoritative sources (Atiyah, Kitaev, Freedman, nLab)

Updated: README.md

• Added Prerequisites section with anchor link at document head

Key correspondences documented

Logic              Type Theory           Category Theory
─────              ───────────           ───────────────
A ∧ B       ←→     A × B          ←→     Product A × B
A → B       ←→     (A) => B       ←→     Exponential B^A
Proof of A  ←→     Term : A       ←→     Morphism → A

Enables readers to trace from mathematical structures through computational representations to physical implementations in topological systems.

Original prompt

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This section details on the original issue you should resolve

<issue_title>Explicit stats prerequisites of Topological Quantum Computing.</issue_title>
<issue_description></issue_description>

<agent_instructions>Minimal Topological Quantum Field theory, Type theroy, Category theory, Logic, Condensed Matter experiment, https://ncatlab.org/nlab/show/computational%20trilogy</agent_instructions>

Comments on the Issue (you are @copilot in this section)

• Fixes Explicit stats prerequisites of Topological Quantum Computing. #29

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