Dear all,
Which means there is no talk today as discussed in the group meeting
yesterday. Marshall Newton is the only talk today.
Alan
On Friday, December 6, 2013, Ryan Babbush wrote:
Hi Everyone,
Next Thursday at 2:30pm in the Division Room, Professor Joe Traub from
Columbia University will be visiting us. He'll present the following talk
at group meeting:
ALGORITHMS AND COMPLEXITY FOR QUANTUM COMPUTING
J.F. TRAUB
COMPUTER SCIENCE DEPARTMENT
COLUMBIA UNIVERSITY
(ON SABBATICAL AT HARVARD)
ABSTRACT
We introduce the notion of strong quantum speedup. To compute this
speedup one must know the classical computational complexity. What is it
about the problems of quantum physics and quantum chemistry that enable us
to get lower bounds on the classical complexity?
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
with cost linear in p. Thus this problem can be easily solved on a quantum
computer. Some researchers in discrete complexity theory believe that
quantum computation is not effective for eigenvalue problems. One of our
goals is to explain this dissonance.
We do not claim separation of the complexity hierarchy since our
complexity estimates are obtained using specific kinds of oracle calls.
We end with a selection of research directions and where to learn
more.
--
Ryan Babbush | PhD Student in Physics
(949) 331-3943 | babbush(a)fas.harvard.edu <javascript:_e({}, 'cvml',
'babbush(a)fas.harvard.edu');>
Harvard University | Aspuru-Guzik Group
12 Oxford Street | Cambridge, MA 02138
--
Alán Aspuru-Guzik | Professor of Chemistry and Chemical Biology
Harvard University | 12 Oxford Street, Room M113 | Cambridge, MA 02138
(617)-384-8188 |
http://aspuru.chem.harvard.edu |
http://about.me/aspuru
_______________________________________________
Aspuru-meetings-list mailing list
Aspuru-meetings-list(a)lists.fas.harvard.edu
https://lists.fas.harvard.edu/mailman/listinfo/aspuru-meetings-list