| name | quantum-geometry-topology-research |
| description | Research skill for quantum-geometry-topology interdisciplinary analysis. Search arxiv for quantum geometry/topology papers, import to knowledge graph (kg.db), analyze with PageRank/Louvain, extract reusable patterns. Activation: quantum geometry research, quantum topology analysis, geometry-informed quantum computing, quantum statistical analysis. |
Quantum-Geometry-Topology Research Skill
Cross-disciplinary research workflow for quantum mechanics + geometry + topology + statistics.
Activation Keywords
- quantum geometry research
- quantum topology analysis
- geometry-informed quantum computing
- quantum statistical analysis
- topology quantum information
- quantum Fisher information
- Born rule statistics
- quantum probability
- 拓扑量子研究
- 量子几何分析
Tools Used
- exec: Run kg_tool, Python scripts, arxiv search
- read: Load existing skills, scripts
- write: Create new skills, save results
- web_search: Search arxiv papers
Workflow
Step 1: Search Papers
Search arxiv for quantum-geometry-topology cross-disciplinary papers:
python3 scripts/search_today_topic.py
Step 2: Import to Knowledge Graph
Import papers to kg.db:
python3 scripts/import_arxiv_to_kg.py kg.db <papers_json>
Step 3: Generate Vector Embeddings
python3 scripts/generate_vectors.py
Step 4: Graph Analysis
Run PageRank and Louvain:
./scripts/kg_tool/target/release/kg_tool pagerank kg.db
./scripts/kg_tool/target/release/kg_tool louvain kg.db
./scripts/kg_tool/target/release/kg_tool search kg.db "quantum"
Step 5: Pattern Extraction
Identify reusable patterns:
- Quantum Fisher information geometry applications
- Topological quantum state encoding
- Quantum probability for statistics/ML
- Geometry-aware quantum circuit design
Step 6: Create Skill
Use skill-creator to formalize patterns:
Skill candidates:
- quantum-fisher-information-analysis
- topological-quantum-encoding
- quantum-probability-statistics
Key Concepts
Quantum Fisher Information Geometry
- Geometric viewpoint on quantum states
- Information geometry for quantum estimation
- Bloch sphere differential geometry
Topological Quantum Computing
- Toric code, loop gases, string nets
- Topological quantum memories
- Quantum Hall effects
Quantum Probability for Statistics
- Born rule applications
- Kolmogorov vs quantum probability
- Machine learning connections
Output Format
# Research Analysis Summary
## Papers Imported
- Title | arXiv ID | Key Contribution
## Graph Analysis
- PageRank top papers: [IDs]
- Communities detected: [N clusters]
- Cross-domain connections: [topics]
## Extracted Patterns
1. Pattern Name: [description]
2. Pattern Name: [description]
## Skill Recommendations
- [skill-name]: [purpose]
Resources
- kg.db: /Users/hiyenwong/wiki/kg.db
- kg_tool: scripts/kg_tool/target/release/kg_tool
- Papers: scripts/arxiv_*.json
Related Skills
- skill-creator: Create new skills from patterns
- skill-extractor: Extract patterns from conversations
- arxiv-search: Paper search
