{ "id": "1807.08970", "version": "v1", "published": "2018-07-24T09:01:50.000Z", "updated": "2018-07-24T09:01:50.000Z", "title": "Computational speedups using small quantum devices", "authors": [ "Vedran Dunjko", "Yimin Ge", "J. Ignacio Cirac" ], "comment": "5+12 pages", "categories": [ "quant-ph", "cs.AI", "cs.CC" ], "abstract": "Suppose we have a small quantum computer with only M qubits. Can such a device genuinely speed up certain algorithms, even when the problem size is much larger than M? Here we answer this question to the affirmative. We present a hybrid quantum-classical algorithm to solve 3SAT problems involving n<