A system (100) for Partial Unstructured Information Processing, constituting storing, indexing, querying and retrieval of partially specified unstructured data, the system (100) comprising: Quantum Clustering Algorithm (101) that partitions data records in different clusters such that the data in each cluster can be indexed efficiently, a Compressed Ternary Tree (111, 112, 113) that replaces all conceivable indices for each cluster thereby solving the Unthinkable Query Problem (110) for each cluster, and a Virtual Query Processor (120) that converts traditional data base queries to raw Compressed Ternary Tree queries and appropriate filters (121, 122, 123).