diff --git a/migrations/003_epics_embedding.sql b/migrations/003_epics_embedding.sql
new file mode 100644
index 0000000..c73589a
--- /dev/null
+++ b/migrations/003_epics_embedding.sql
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+-- Migration 003: Add embedding column to epics table
+-- Enables semantic search for epics
+
+-- Add embedding column to epics table
+ALTER TABLE epics ADD COLUMN IF NOT EXISTS embedding vector(1024);
+
+-- Create HNSW index for fast vector similarity search
+CREATE INDEX IF NOT EXISTS idx_epics_embedding ON epics USING hnsw (embedding vector_cosine_ops);
+
+-- Record migration
+INSERT INTO schema_migrations (version, applied_at) VALUES ('003_epics_embedding', NOW())
+ON CONFLICT DO NOTHING;