IQC Math and CS seminar featuring David Rasmussen Lolck

Tuesday, March 11, 2025 10:00 am - 11:00 am EDT (GMT -04:00)

Quantum Advantage with Faulty Oracle

David Rasmussen Lolck | University of Copenhagen

In this talk we will investigate the impact of noise in the quantum query model, a fundamental framework for quantum algorithms. We focus on the scenario where the oracle is subject to non-unitary (or irreversible) noise, specifically under the faulty oracle model, where the oracle fails with constant probability and acts as identity in the case of failing. Regev and Schiff (ICALP'08) showed that quantum advantage is lost for the search problem under this noise model.

Our main result shows that every quantum query algorithm can be made robust in this noise model with a roughly quadratic multiplicative blow-up in query complexity, thereby preserving quantum speedup for all problems where the quantum advantage is super-cubic.

Location