Quantum rejection sampling
Speaker: Dr. Martin Roetteler, NEC Laboratories America, Princeton, NJ
Department: Electrical Engineering
Location: Bowen Hall Auditorium
Date/Time: Thursday, April 4, 2013, 12:00 p.m. - 1:00 p.m.
We present an approach to quantum state generation problems that can be thought of as a quantum analog of the classical rejection sampling method (von Neumann, 1951). We assume that a black box is given that produces a coherent superposition of (possibly unknown) quantum states with some amplitudes. The problem is to prepare a coherent superposition of the same states, albeit with different target amplitudes. We exhibit a quantum algorithm for this problem and analyze its cost using semidefinite programming. As an application, we derive a quantum algorithm for the hidden shift problem for an arbitrary Boolean function. A bound on the run-time of this algorithm can be obtained by "water-filling" the Fourier spectrum.
Based on joint work with Andrew Childs, Robin Kothari, Maris Ozols, and Jeremie Roland.
Bio: Martin Roetteler received a Ph.D. in computer science from the University of Karlsruhe, Germany, in 2001. Subsequently, he held a post-doc position at the Institute for Quantum Computing at the University of Waterloo. Currently, he is a Senior Research Staff Member at NEC Laboratories America, located in Princeton, NJ, and the leader of the Quantum IT group. He has published more than 90 refereed journal and conference papers and is co-author of one book on quantum information. Martin's research focuses on quantum algorithms and quantum error-correction.