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Description:
From August 15-26, 2005 the IMA will host an intensive short course designed to efficiently provide mathematicians the basic knowledge prerequisite to undertake research in quantum computation. The course will be taught by Peter Shor, Professor of Mathematics at MIT and Alexei Kitaev, Professor of Physics and Computer Science, Caltech. The primary audience for the course is mathematics faculty. No prior background in quantum computation is expected. Participants will receive full travel and lodging support during the workshop.
Course content and structure. The course will begin with an introduction to quantum mechanics and quantum computation. Then it will pursue two tracks: quantum algorithms and error correction led by Peter Shor, and topological quantum computation, led by Alexei Kitaev. A typical day during the two weeks course will consist of two general lectures, one by the principal speakers in the morning, each one-and-a-half hours in duration. Afternoons will be used for topical lectures by guest speakers, and for problem solving and brain-storming sessions. Application and selection procedure. The IMA New Directions Short Courses will be limited to 25 participants. All successful applicants will be funded for travel and local expenses. Please see the IMA reimbursement policy for details about airfare. Applicants are required to submit a curriculum vita and a statement about their interest in the course, its place in their future research plans, and its expected impact on their research and teaching. A committee consisting of the course instructors and IMA directors will select the participants from among the applicants. Application deadline has passed.
Schedule | |||
Monday, August 15 | |||
8:30a-10:00a | Lecture: Introduction, quantum states, operations, etc. | Peter W. Shor (Massachusetts Institute of Technology) | Lind Hall 409 |
10:00a-10:30a | Break | Lind Hall 400 | |
10:30a-12:00p | Lecture: Overview | Alexei Kitaev (California Institute of Technology) | Lind Hall 409 |
12:00p-1:30p | Lunch | ||
1:30p-3:30p | Problem Solving and Brain Storming Session | Lind Hall 409 | |
3:45p-4:00p | Group Photo | ||
4:00p-5:00p | Reception | Lind Hall 400 | |
Tuesday, August 16 | |||
8:30a-10:00a | Lecture: Teleportation, superdense coding, introduction to quantum error correcting codes | Peter W. Shor (Massachusetts Institute of Technology) | Lind Hall 409 |
10:00a-10:30a | Break | Lind Hall 400 | |
10:30a-12:00p | Lecture: The toric code and its variations | Alexei Kitaev (California Institute of Technology) | Lind Hall 409 |
12:00p-1:30p | Lunch | ||
1:30p-2:30p | Problem Solving and Brain Storming Session | Lind Hall 409 | |
Wednesday, August 17 | |||
8:30a-10:00a | Lecture: Algorithms - periodicity | Peter W. Shor (Massachusetts Institute of Technology) | Lind Hall 409 |
10:00a-10:30a | Break | Lind Hall 400 | |
10:30a-12:00p | Lecture: Spin Hamiltonians, ground states and excitations | Alexei Kitaev (California Institute of Technology) | Lind Hall 409 |
12:00p-1:30p | Lunch | ||
1:30p-2:30p | Problem Solving and Brain Storming Session | Lind Hall 409 | |
Thursday, August 18 | |||
8:30a-10:00a | Lecture: Algorithms - Grover's algorithm and quantum walk algorithms | Peter W. Shor (Massachusetts Institute of Technology) | Lind Hall 409 |
10:00a-10:30a | Break | Lind Hall 400 | |
10:30a-12:00p | Lecture: Lattice models based on discrete groups | Alexei Kitaev (California Institute of Technology) | Lind Hall 409 |
12:00p-1:30p | Lunch | ||
1:30p-2:30p | Problem Solving and Brain Storming Session | Lind Hall 409 | |
6:30p-8:30p | Dinner | Loring Pasta Bar | |
Friday, August 19 | |||
8:30a-10:00a | Lecture: Measures of entanglement | Peter W. Shor (Massachusetts Institute of Technology) | Lind Hall 409 |
10:00a-10:30a | Break | Lind Hall 400 | |
10:30a-12:00p | Lecture: Quantum computation with S_3 anyons | Alexei Kitaev (California Institute of Technology) | Lind Hall 409 |
12:00p-1:30p | Lunch | ||
1:30p-2:30p | Problem Solving and Brain Storming Session | Lind Hall 409 | |
Saturday, August 20 | |||
All Day | No lecture scheduled. | ||
Sunday, August 21 | |||
All Day | No lecture scheduled. | ||
Monday, August 22 | |||
8:30a-10:00a | Lecture: Quantum channels and their capacities | Peter W. Shor (Massachusetts Institute of Technology) | Lind Hall 409 |
10:00a-10:30a | Break | Lind Hall 400 | |
10:30a-12:00p | Lecture:The honeycomb lattice model | Alexei Kitaev (California Institute of Technology) | Lind Hall 409 |
12:00p-1:30p | Lunch | ||
1:30p-2:30p | Problem Solving and Brain Storming Session | Lind Hall 409 | |
Tuesday, August 23 | |||
8:30a-10:00a | Lecture: Quantum cryptography | Peter W. Shor (Massachusetts Institute of Technology) | Lind Hall 409 |
10:00a-10:30a | Break | Lind Hall 400 | |
10:30a-12:00p | Lecture: Algebraic theory of anyons | Alexei Kitaev (California Institute of Technology) | Lind Hall 409 |
11:30a-1:00p | Lunch | ||
1:30p-2:30p | Quantum Proofs | John Watrous (University of Calgary) | Lind Hall 409 |
2:30p-3:30p | Problem Solving and Brain Storming Session | Lind Hall 409 | |
Wednesday, August 24 | |||
8:30a-10:00a | Lecture: Quantum fault-tolerant computation | Peter W. Shor (Massachusetts Institute of Technology) | Lind Hall 409 |
10:00a-10:30a | Break | Lind Hall 400 | |
10:30a-12:00p | Lecture: Algebraic theory of anyons, cont. | Alexei Kitaev (California Institute of Technology) | Lind Hall 409 |
12:00p-1:30p | Lunch | ||
1:30p-2:30p | Problem Solving and Brain Storming Session | Lind Hall 409 | |
Thursday, August 25 | |||
8:30a-10:00a | Lecture: Quantum error correcting codes: the stabilizer construction | Peter W. Shor (Massachusetts Institute of Technology) | Lind Hall 409 |
10:00a-10:30a | Break | Lind Hall 400 | |
10:30a-12:00p | Lecture:Computation with Fibonacci anyons | Alexei Kitaev (California Institute of Technology) | Lind Hall 409 |
1:30p-2:30p | Problem Solving and Brain Storming Session | Lind Hall 409 | |
Friday, August 26 | |||
8:30a-10:00a | Lecture: Additivity questions in quantum information theory | Peter W. Shor (Massachusetts Institute of Technology) | Lind Hall 409 |
10:00a-10:30a | Break | Lind Hall 400 | |
10:30a-12:00p | Lecture: More models and the physical perspective | Alexei Kitaev (California Institute of Technology) | Lind Hall 409 |
12:00p-1:30p | Lunch | ||
1:30p-2:30p | Problem Solving and Brain Storming Session | Lind Hall 409 | |
2:30p-2:45p | Wrap up | Lind Hall 409 |
Name | Department | Affiliation |
---|---|---|
Douglas N. Arnold | Institute for Mathematics and its Applications | University of Minnesota |
John Baxter | School of Mathematics | University of Minnesota |
Animikh Biswas | Department of Mathematics and Statistics | University of North Carolina - Charlotte |
Suneal K. Chaudhary | Department of Mathematics | University of Utah |
Jintai Ding | Department of Mathematical Sciences | University of Cincinnati |
John Rhodes Dixon | Department of Statistics | Florida State University |
Lara Faoro | Department of Physics | Rutgers University |
Paul Garrett | School of Mathematics | University of Minnesota |
Jason Gower | Department of Mathematical Sciences | University of Cincinnati |
Palle E. T. Jorgensen | Department of Mathematics | University of Iowa |
Alexei Kitaev | Department of Physics & Computer Science | California Institute of Technology |
Soumendra Nath Lahiri | Department of Statistics | Iowa State University |
Melvin Leok | Department of Mathematics | University of Michigan |
Debra Lewis | Institute for Mathematics and its Applications | University of Minnesota |
Chjan Chin Lim | Department of Mathematical Sciences | Rensselaer Polytechnic Institute |
Enbing Lin | Department of Mathematics | University of Toledo |
Elebeoba E. May | Department of Computational Biology | Sandia National Laboratories |
David Meintrup | EIT 1 | University of the Federal Arms Munich |
Oleg Pikhurko | Department of Mathematical Sciences | Carnegie Mellon University |
Karel L. Prikry | School of Mathematics | University of Minnesota |
Maurice Rahe | Department of Mathematics | Texas A & M University |
S. S. Ravindran | Department of Mathematical Sciences | University of Alabama - Huntsville |
Arnd Scheel | Institute for Mathematics and its Applications | University of Minnesota |
Tanush Shaska | University of Idaho | |
Peter W. Shor | Department of Mathematics | Massachusetts Institute of Technology |
Warren Sinnott | Department of Mathematics | Ohio State University |
Kai-Sheng Song | Department of Statistics | Florida State University |
Tzyh-Jong Tarn | Department of Systems Science & Mathematics | Washington University |
Pham Huu Tiep | Department of Mathematics | University of Florida |
Igor Tsukerman | Department of Electrical & Computer Engineering | University of Akron |
Imre Tuba | UMM Division of Science and Mathematics | University of Minnesota - Morris |
John Watrous | Department of Computer Science | University of Calgary |
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