• Wednesday January 15, 2003, 8:00 a.m.-10:55 a.m.
    AMS Special Session on Quantum Computation and Information: Mathematical Challenges, I

    Organizers:
    Samuel J. Lomonaco, Jr., University of Maryland Baltimore County lomonaco@umbc.edu
    Howard E. Brandt, Army Research Laboratory hbrandt@arl.army.mil
    Louis H. Kauffman, University of Illinois at Chicago kauffman@uic.edu
    • 8:00 a.m.
      Quantum and topological entanglements in view of entanglement schemes.
      Fernando J. O. Souza*, University of Iowa
      (983-81-1482)
    • 8:30 a.m.
      Quantum Circuit Design for Multi-Object Search.
      Goong Chen*, Math. Dept., Texas A&M University
      Zijian Diao, Math. Dept., Texas A&M University
      (983-68-789)
    • 9:00 a.m.
      Optimization Problem in Quantum Cryptography.
      Howard E. Brandt*, U.S. Army Research Laboratory
      (983-81-246)
    • 9:30 a.m.
      Entanglement and Invariant Theory.
      Ranee Brylinski*, Penn State
      Jean-Luc Brylinski, Truro, Massachusetts
      (983-22-1374)
    • 10:00 a.m.
      Lattice Loading of Neutral Atoms: The Bose-Hubbard Hamiltonian undergoing a Quantum Phase Transition from a Superfluid to the Mott-Insulator Regime.
      Carl J. Williams*, NIST
      Gavin Brennen, NIST
      (983-81-1237)
    • 10:30 a.m.
      Non-Abelian Stabilizer Codes.
      Harriet S. Pollatsek, Mt. Holyoke College
      Mary Beth Ruskai*, Arlington, MA
      (983-94-884)
 
  • Wednesday January 15, 2003, 2:20 p.m.-6:10 p.m.
    AMS Special Session on Quantum Computation and Information: Mathematical Challenges, II

    Organizers:
    Samuel J. Lomonaco, Jr., University of Maryland Baltimore County lomonaco@umbc.edu
    Howard E. Brandt, Army Research Laboratory hbrandt@arl.army.mil
    Louis H. Kauffman, University of Illinois at Chicago kauffman@uic.edu
    • 2:15 p.m.
      Awards Ceremony
    • 2:20 p.m.
      Security proofs for quantum key distribution.
      Peter W. Shor*, AT\&T Labs - Research
      (983-81-994)
    • 3:15 p.m.
      Polynomial-Time Quantum Algorithms for Pell's Equation and the Principal Ideal Problem.
      Hallgren Sean*, Caltech
      (983-68-1438)
    • 3:45 p.m.
      Quantum computing approaches to NP-complete problems.
      Lov K Grover*, Bell Labs, Lucent
      (983-68-1010)
    • 4:15 p.m.
      Classical codes and quantum algorithms.
      David A Meyer*, University of California/San Diego
      (983-68-1020)
    • 4:45 p.m.
      Quantum Dynamical Semigroup Tomography.
      Timothy F Havel*, MIT
      (983-81-791)
    • 5:15 p.m.
      Scalable quantum architectures using efficient nonlocal interactions.
      Gavin K Brennen*, NIST
      Daegene D Song, National Institute of Standards and Technology
      Carl J Williams, National Institutes of Standards and Technology
      (983-81-1246)
    • 5:45 p.m.
      Generalizations of entanglement based on lie algebras, coherent states, and convex cones.
      Howard N Barnum*, Los Alamos National Laboratory
      Emanuel "Manny" Knill, Los Alamos National Laboratory
      Gerardo Ortiz, Los Alamos National Laboratory
      Lorenza Viola, Los Alamos National Laboratory
      (983-81-799)
  • Thursday January 16, 2003, 8:00 a.m.-11:55 a.m.
    AMS Special Session on Quantum Computation and Information: Mathematical Challenges, III

    Organizers:
    Samuel J. Lomonaco, Jr., University of Maryland Baltimore County lomonaco@umbc.edu
    Howard E. Brandt, Army Research Laboratory hbrandt@arl.army.mil
    Louis H. Kauffman, University of Illinois at Chicago kauffman@uic.edu

       

    • 8:00 a.m.
      Adiabatic Quantum Algorithms.
      Umesh V. Vazirani*, U.C. Berkeley
      (983-68-1150)
    • 9:00 a.m.
      Adaptive Quantum Computation, Constant Depth Quantum Circuits and Arthur-Merlin Games.
      Barbara M Terhal*, IBM Watson Research Center
      (983-68-300)
    • 9:30 a.m.
      Open problems in quantum coding theory.
      Eric M. Rains*, Center for Communications Research, Princeton
      (983-81-800)
    • 10:00 a.m.
      Multi-particle entanglement.
      Sandu Popescu*, Bristol University
      (983-81-1152)
    • 10:30 a.m.
      Continuous Quantum Hidden Subgroup Algorithms.
      Samuel J Lomonaco*, University of Maryland Baltimore County
      Louis H Kauffman, Uiversity of Illinois at Chicago
      (983-81-842)
    • 11:00 a.m.
      On the quantum derandomization of algorithms.
      Michele Mosca*, University of Waterloo, and Perimeter Institute for Theoretical Physics
      (983-68-1059)
    • 11:30 a.m.
      Complexity of Continuous Quantum Computation.
      Joseph F Traub*, Columbia University
      (983-68-829)
  • Thursday January 16, 2003, 1:00 p.m.-3:55 p.m.
    AMS Special Session on Quantum Computation and Information: Mathematical Challenges, IV

    Organizers:
    Samuel J. Lomonaco, Jr., University of Maryland Baltimore County lomonaco@umbc.edu
    Howard E. Brandt, Army Research Laboratory hbrandt@arl.army.mil
    Louis H. Kauffman, University of Illinois at Chicago kauffman@uic.edu

       

    • 1:00 p.m.
      Anyons in a spin model on the honeycomb lattice.
      Alexei Y Kitaev*, Caltech
      (983-81-930)
    • 2:00 p.m.
      The Hilbert series of measures of entanglement for 4 qubits.
      Nolan R Wallach*, University of California, San Diego
      (983-81-848)
    • 2:30 p.m.
      Quantum Entanglement and Topological Entanglement.
      Louis Hirsch Kauffman*, University of Illinois at Chicago
      Samuel J. Lomonaco, Jr., University of Maryland Baltimore County
      (983-81-803)
    • 3:00 p.m.
      Quantum and Classical Reverse Shannon Theorems.
      Charles H Bennett*, IBM Research Yorktown
      (983-81-939)
    • 3:30 p.m.
      Noiseless Quantum Information Processing.
      Paolo Zanardi*, Institute for Scientific Interchange Foundation
      (983-81-995)