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THEMATIC PROGRAMS |
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Thematic Program on Mathematics
in Quantum Information
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July 27-31, 2009
Organizing Committee: |
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Matthias Christandl (LMU Munich) Robert Erdahl (Queen's University) |
Patrick Hayden (McGill University)
Mary Beth Ruskai (Tufts University) |
Workshop Program | Confirmed Participants |
Abstracts - Invited Talks | Abstracts - Contributed Talks/ Posters |
Visitor Information | Hotels and Housing |
Mailing List : To receive updates on the program please subscribe to our mailing list at www.fields.utoronto.ca/maillist
In order to have a workshop format with ample time for discussions,
all talks will be invited, but suggestions for speakers are welcome.
It is neither necessary nor desirable that all participants give
a formal talk. All participants can submit a poster and every presenter
of a poster will have an opportunity to give a 5 minute presentation
to let people know who they are and what they are working on. These
will take place early in the workshop before the reception or breaks.A
few poster submissions may be selected, at the option of the organizers
for 20 minute talks on recent developments.
Abstract Submission for Contributed Talk/Poster (closed-
deadline to submit was June 28)
In the last decade, new methods have been developed which use the two-electron RDM to study N-electron systems while circumventing the N-representability problem. More recently, two striking results were obtained on this long-standing question, the solution of the pure state problem for the one-particle RDM and a proof of the existence of computationally intractable model Hamiltonians (even with a quantum computer) for the two-particle RDM.
Quantum information theory has led to developments in different directions. There are some surprising connections with representations of the symmetric group and with spin coherent states. A different type of approximation for symmetric density matrices is treated by the so-called quantum di Finetti theorems. Recent developments involving density matrix renormalization methods for treating strongly correlated systems in spin chains will be treated, with emphasis on the practical implications.
Because Schubert calculus plays a key role some recent developments,
Allen Knutson will give a "crash course" on this topic
during the first two days. By bringing together quantum chemists,
mathematicians and quantum information scientists, we hope to identify
the new mathematical challenges in this area and the practical uses
of recent theoretical developments.
Monday July 27 | |
8:45 - 9:00 a.m. | Welcome and Introduction Fields Director Ed Bierstone and Workshop Organizers |
9:00-10:00 a.m. | Allen Knutson (University of California, San
Diego) Schubert Calculus short course |
10:00-10:30 a.m. | Coffee Break |
10:30-11:15 a.m. | Robert Erdahl (Queen's University) Reduced density matrices, the lower bound method and the contracted Schroedinger equation |
11:15-12:00 a.m. | Paul W. Ayers (McMaster University) Variational Reduced Density Matrix Theory: Successes and Failures |
12:00-2:00 p.m. | Lunch Break |
2:00-3:00 p.m. | Allen Knutson (University of California,
San Diego) Schubert Calc. short course |
3:00-3:30 p.m. | Tea Break |
3:30-4:15 p.m. | Stefano Pironio (University of
Geneva) Non-commutative polynomial optimization and the varianional RDM method |
4:15-5:00 p.m. | very short talks |
5:00 - 6:00 p.m. | Reception --Fields Institute |
Tuesday July 28 | |
9:00-10:00 a.m. | Allen Knutson (University of California, San
Diego) Schubert Calc. short course |
10:00-10:30 a.m. | Coffee Break |
10:30-11:15 a.m. | Garnet Kin-Lic Chan (Cornell
University) The DMRG and Correlator Product States |
11:15-12:00 noon | Frank Verstraete (University of Vienna) Density matrices in real-space renormalization group methods |
12:00-2:00 p.m. | Lunch Break |
2:00-3:00 p.m. | Allen Knutson (University of California, San
Diego) Schubert Calc. short course |
3:00-3:30 p.m. | Tea Break |
3:30-4:30 p.m. | Robert Koenig (Caltech) and Graeme
Mitchison (University of Cambridge) de Finetti theorems for quantum states |
4:30-5:00 p.m. | First Wrap Up |
Wednesday July 29 | |
9:00-9:40 a.m. | Mary Beth Ruskai (Tufts University) transition remarks |
9:40-10:30 a.m. | Renato Renner
(ETH Zurich) De Finetti and entropies |
10:30-11:00 a.m. | Coffee Break |
11:00-12:00 noon | Alexander Klyachko (Bilkent University) Quantum marginal problem |
Free Afternoon | |
Thursday July 30 | |
9:00-9:45 a.m. | Matthias Christandl (Ludwig-Maximilians-Universität
München) Estimating the spectrum of an operator - a technique for the analysis of spectral relations via representation theory |
9:45-10:30 a.m. | Michael M. Wolf (Niels Bohr Institute) Bell inequalities and joint measurability - relating classical and quantum marginal problems |
10:30-11:00 a.m. | Coffee Break |
11:00-12:00 p.m. | Alexander Klyachko (Bilkent University) The Pauli exclusion principle and beyond |
12:00-2:00 p.m. | Lunch Break |
2:00-2:45 p.m. | Bastiaan Braams (Emory University) The reduced density matrix method and some complexity issues |
2:45 - 3:30 pm | Yi-Kai Liu (California Institute
of Technology) N-representability is QMA-complete |
3:30 - 4:00 p.m. | Tea Break |
4:00 - 4:25 | Tzu-Chieh Wei (University of Waterloo) Bosonic N-representability problem is also QMA-complete |
4:25-4:50 p.m. | Peter Love (Haverford College) QMA-complete problems for stoquastic Hamiltonians and Markov matrices |
4:50 - 5:15 p.m. | discussion |
Friday July 31 | |
9:30 - 10:15 a.m. | Aspuru-Guzik (Harvard University) Quantum computer simulation for chemical dynamics and molecular electronic structure |
10:15 - 11:00 a.m. | Coffee Break |
11:00 - 11: 45 a.m. | Andreas Winter (University of Bristol) A new inequality for the von Neumann entropy |
11:45 - 12:15 | wrap-up discussion |
Coleman dinner in Kingston |
Full Name | University/Affiliation |
Acin, Antonio | ICFO |
Anderson, James | McMaster University |
Andrews, Rob | (no affiliation) |
Aspuru-Guzik, Alán | Harvard University |
Ayers, Paul | McMaster University |
Belinschi, Serban | University of Saskatchewan |
Beny, Cedric | National University of Singapore |
Berta, Mario | Ludwig-Maximilians-Universität München |
Boche, Holger | Technical University Berlin |
Braams, Bastiaan J. | Emory University |
Brooke, James | University of Saskatchewan |
Chan, Garnet | Cornell University |
Changlani, Hitesh | Cornell University |
Choi, Man-Duen | University of Toronto |
Christandl, Matthias | Ludwig-Maximilians-Universität München |
Collins, Benoît | University of Ottawa |
Cubitt, Toby | University of Bristol |
Cuevas-Saavedra, Rogelio | McMaster University |
Cui, Wei | University of Toronto |
Curty, Marcos | University of Vigo |
De Baerdemacker, Stijn | University of Toronto |
Dupuis, Frédéric | University of Montreal |
Erdahl, Robert | Queen's University |
Fan, Guangzhe | University of Waterloo |
Garcia-Saez, Artur | ICFO - The Institute of Photonic Sciences |
Gottlieb, Alexander | Wolfgang Pauli Institute |
Guenda, Kenza | University of Algiers |
Halevy, Itamar | |
Hayden, Patrick | McGill University |
Helwig, Wolfram | University of Toronto |
Janssen, Gisbert | Technische Universitaet Berlin |
Ji, Zhengfeng | Perimeter Institute |
Johnson, Paul | McMaster University |
Klyachko, Alexander | Bilkent University |
Knutson, Allen | University of California, San Diego |
Koenig, Robert | California Institute of Technology |
Kulikov, Pavel | McMaster University |
Lim, Jacques Bunrith | IRMAR |
Liu, Yi-Kai | California Institute of Technology |
Love, Peter J. | Haverford College |
Lyons, David | Lebanon Valley College |
Matthews, William | University of Waterloo |
Menicucci, Nicolas | Perimeter Institute for Theoretical Physics |
Mitchison, Graeme | Centre for Mathematical Sciences |
Mosonyi, Milan | Centre for Quantum Technologies, NUS |
Movassagh, Ramis | Massachusetts Institute of Technology |
Myhr, Geir Ove | University of Waterloo |
Nakata, Maho | RIKEN |
Nechita, Ion | Institut Camille Jordan, Université Claude Bernard Lyon 1 |
Noetzel, Janis | Technische Universität Berlin |
Orser, Brenda | B.I.O. Letha Information Systems, Inc. |
Piani, Marco | University of Waterloo |
Pironio, Stefano | University of Geneva |
Ralph, Claire | Cornell University |
Renner, Renato | ETH Zürich |
Rosgen, Bill | University of Waterloo |
Ruskai, Mary Beth | Tufts University |
Schuch, Norbert | Max-Planck-Institute for Quantum Optics |
van Aggelen, Helen | Ghent University |
Van Neck, Dimitri | Ghent University |
Verstraete, Frank | University of Vienna |
Walck, Scott | Lebanon Valley College |
Walgate, Jonathan | Perimeter Institute |
Wei, Tzu-Chieh | University of Waterloo |
Winter, Andreas | University of Bristol |
Wolf, Michael | Copenhagen University |
Zeier, Robert | Technische Universitaet Muenchen |