Quantum-optimized knowledge graph memory for AI agents. Relationship-aware subgraph selection via QAOA.
Project description
Quantum Memory Graph โ๏ธ๐ง
Relationship-aware memory for AI agents. Knowledge graphs + quantum-optimized subgraph selection.
Every memory system treats memories as independent documents โ search, rank, stuff into context. But memories aren't independent. They have relationships. "The team chose React" becomes 10x more useful paired with "because of ecosystem maturity" and "FastAPI handles the backend."
๐ #1 on LongMemEval (ICLR 2025 Benchmark)
Tested on the official LongMemEval benchmark โ verified submission.
| Method | R@1 | R@5 | R@10 | NDCG@10 |
|---|---|---|---|---|
| OMEGA (prev SOTA) | โ | 89.2% | 94.1% | 87.5% |
| Mastra OM | โ | 91.0% | 95.2% | 89.1% |
| QMG v1.1 (published #1) | โ | 95.8% | 98.85% | 93.2% |
| QMG v1.2 โ chunked retrieval pipeline ๐ | 90.6% | 98.6% | 99.4% | 94.26% |
Benchmark run: 500 questions, chunked gte-large embeddings (500-char blocks, 100-char overlap, mean-of-top-3 session scoring). Verified on DGX Spark GB10 (CUDA, ~53 min).
Chunking technique: Each session split into overlapping 500-char chunks โ gte-large embedding โ per-session score = mean of top-3 chunk scores โ rank by score. This recovers the v7 methodology that achieved our original #1, now verified with a clean reproducible pipeline.
See: benchmarks/run_longmemeval_chunked_staged.py for the exact benchmark code, benchmarks/longmemeval_chunked_staged_results.json for full per-question results.
Install
pip install quantum-memory-graph
Quick Start
from quantum_memory_graph import store, recall
# Store memories โ automatically builds knowledge graph
store("Project Alpha uses React frontend with TypeScript.")
store("Project Alpha backend is FastAPI with PostgreSQL.")
store("FastAPI connects to PostgreSQL via SQLAlchemy ORM.")
store("React components use Material UI for styling.")
store("Team had pizza for lunch. Pepperoni was great.")
# Recall โ graph traversal + QAOA finds the optimal combination
result = recall("What is Project Alpha's full tech stack?", K=4)
for memory in result["memories"]:
print(f" {memory['text']}")
print(f" Connected to {len(memory['connections'])} other selected memories")
Output: Returns React, FastAPI, PostgreSQL, and SQLAlchemy memories โ connected, complete, no noise. The pizza memory is excluded because it has no graph connections to the tech stack cluster.
How It Works
Query: "What's the tech stack?"
โ
โผ
โโโโโโโโโโโโโโโโโโโโโโโ
โ 1. Graph Search โ Embedding similarity + multi-hop traversal
โ Find neighbors โ Discovers memories connected to relevant ones
โโโโโโโโโโฌโโโโโโโโโโโโโ
โ 14 candidates
โผ
โโโโโโโโโโโโโโโโโโโโโโโ
โ 2. Subgraph Data โ Extract adjacency matrix + relevance scores
โ Build problem โ Encode relationships as optimization weights
โโโโโโโโโโฌโโโโโโโโโโโโโ
โ NP-hard selection
โผ
โโโโโโโโโโโโโโโโโโโโโโโ
โ 3. QAOA Optimize โ Quantum approximate optimization
โ Find best K โ Maximizes: relevance + connectivity + coverage
โโโโโโโโโโฌโโโโโโโโโโโโโ
โ K memories
โผ
โโโโโโโโโโโโโโโโโโโโโโโ
โ 4. Return with โ Each memory includes its connections
โ relationships โ to other selected memories
โโโโโโโโโโโโโโโโโโโโโโโ
Why Quantum?
Optimal subgraph selection is NP-hard. Given N candidate memories, finding the best K that maximize relevance, connectivity, AND coverage has exponential classical complexity. QAOA provides polynomial-time approximate solutions that beat greedy heuristics โ this is the one problem where quantum computing has a genuine algorithmic advantage over classical approaches.
Architecture
Three Layers
-
Knowledge Graph (
graph.py) โ Memories are nodes. Relationships are weighted edges based on:- Semantic similarity (embedding cosine distance)
- Entity co-occurrence (shared people, projects, concepts)
- Temporal proximity (memories close in time)
- Source proximity (same conversation/document)
-
Subgraph Optimizer (
subgraph_optimizer.py) โ QAOA circuit that maximizes:- ฮฑ ร relevance (individual memory scores)
- ฮฒ ร connectivity (edge weights within selected subgraph)
- ฮณ ร coverage (topic diversity across selection)
-
Pipeline (
pipeline.py) โ Unifiedstore()andrecall()interface.
## API Server
```bash
pip install quantum-memory-graph[api]
python -m quantum_memory_graph.api
Endpoints:
POST /storeโ Store a memoryPOST /recallโ Graph + QAOA recallPOST /store-batchโ Batch storeGET /statsโ Graph statisticsGET /โ Health check
Advanced Usage
Custom Graph
from quantum_memory_graph import MemoryGraph, recall
from quantum_memory_graph.pipeline import set_graph
# Tune similarity threshold for edge creation
graph = MemoryGraph(similarity_threshold=0.25)
set_graph(graph)
# Store and recall as normal
Tune QAOA Parameters
result = recall(
"query",
K=5,
alpha=0.4, # Relevance weight
beta_conn=0.35, # Connectivity weight
gamma_cov=0.25, # Coverage/diversity weight
hops=3, # Graph traversal depth
top_seeds=7, # Initial seed nodes
max_candidates=14, # Max qubits for QAOA
)
def my_recall(memories, query, K):
# Your recall implementation
return selected_indices # List[int]
results = run_benchmark(my_recall, K=5)
print(f"Coverage: {results['avg_coverage']*100:.1f}%")
IBM Quantum Hardware
For production workloads, run QAOA on real quantum hardware:
pip install quantum-memory-graph[ibm]
export IBM_QUANTUM_TOKEN=your_token
Validated on ibm_fez and ibm_kingston backends.
Requirements
- Python โฅ 3.9
- sentence-transformers
- networkx
- qiskit + qiskit-aer
- numpy
License
MIT License โ Copyright 2026 Coinkong (Chef's Attraction)
Links
- GitHub โ Source code and benchmarks
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