Quantum Advantage from One-Way Functions

ePrint Report: Quantum Advantage from One-Way Functions

Tomoyuki Morimae, Takashi Yamakawa

Showing quantum advantage based on weaker and standard classical complexity assumptions is one of the most important goals in quantum information science. In this paper, we demonstrate quantum advantage with several basic assumptions, specifically based on only the existence of classically-secure one-way functions. We introduce inefficient-verifier proofs of quantumness (IV-PoQ), and construct it from statistically-hiding and computationally-binding classical bit commitments. IV-PoQ is an interactive protocol between a verifier and …

basic complexity eprint report functions goals important information quantum quantum information science report science standard