Lab Home | Phone | Search
Center for Nonlinear Studies  Center for Nonlinear Studies
 Home 
 People 
 Current 
 Affiliates 
 Visitors 
 Students 
 Research 
 ICAM-LANL 
 Publications 
 Conferences 
 Workshops 
 Sponsorship 
 Talks 
 Colloquia 
 Colloquia Archive 
 Seminars 
 Postdoc Seminars Archive 
 Quantum Lunch 
 Quantum Lunch Archive 
 CMS Colloquia 
 Q-Mat Seminars 
 Q-Mat Seminars Archive 
 Archive 
 Kac Lectures 
 Dist. Quant. Lecture 
 Ulam Scholar 
 Colloquia 
 
 Jobs 
 Postdocs 
 CNLS Fellowship Application 
 Students 
 Summer Research 
 Visitors 
 Description 
 Past Visitors 
 Services 
 General 
 
 History of CNLS 
 
 Maps, Directions 
 CNLS Office 
 T-Division 
 LANL 
 
Thursday, July 26, 2012
12:30 PM - 2:00 PM
T-DO Conference Room Bldg 123, Room 121

Quantum Lunch

Algorithms and Complexity for Quantum Computing

Joseph Traub
COMPUTER SCIENCE DEPARTMENT COLUMBIA UNIVERSITY AND EXTERNAL PROFESSOR, SANTA FE INSTITUTE

Are quantum computers more powerful than classical computers? To answer this question one must know the classical computational complexity. What is it about the problems of quantum chemistry and quantum physics that enables us to get lower bounds on the classical complexity? We also introduce a new classification of quantum speedups. We then turn to a particular problem, the ground state of the time-independent Schroedinger equation for a system of p particles. The classical deterministic complexity of this problem is exponential in p. We provide an algorithm for solving this problem on a quantum computer whose cost is linear in p. We discuss whether this exponential separation proves that quantum computers are exponentially more powerful than classical computers. We end with a selection of research directions and where to learn more.

Host: Rolando Somma, T-4, somma@lanl.gov