[QIP-Sem] MIT Quantum Information Processing IAP Lectures

QIP-Sem Mailing List qip-sem-own at MIT.EDU
Mon Jan 10 09:12:39 EST 2005


The following MIT Independent Activities Period lectures should be of 
interest to the readers of this list:


Feedback Control of NMR Spin Systems: A Control-Theoretic Perspective
Claudio Altafini, SISSA-ISAS International School for Advanced Studies
Tue Jan 11, Wed Jan 12, Tue Jan 18, Wed Jan 19, 10:30am-12:00pm, NW14-1112

No enrollment limit, no advance sign up
Participants requested to attend all sessions (non-series)

  Assuming that ensemble measurements can be performed in real time, 
the control of an NMR spin system can be studied within the paradigm 
of classical control theory. Adopting this perspective, these 
lectures will discuss several aspects of the "state manipulation 
problem", including controllability, model-based open loop control, 
real-time state estimation (tomography) based on incomplete and/or 
noisy data, and the synthesis of feedback mechanisms which can 
stabilize the system within a desired state.

Web: http://www.sissa.it/~altafini


On the Duality Between Quantum States and Quantum Maps
Karol Zyczkowski Perimeter Institute - Waterloo, Ontario and 
Institute of Physics
Tue Jan 18, Wed Jan 19, 09-10:30am, NW14-1112

No enrollment limit, no advance sign up
Participants requested to attend all sessions (non-series)

  These lectures will describe the theory of positive maps and its 
applications to quantum entanglement, in particular: (1) Positive, 
completely positive (CP), and completely co-positive (CcP) maps;
(2) Characterization of a map by its dynamical (or Choi) matrix;
(3) Dual cones and superpositive maps;
(4) The Jamiolkowski isomorphism between CP-maps and density matrices 
on an extended Hilbert space;
(5) An analogous relation between classical maps and discrete 
probability distributions;
(6) Decomposable maps and the Stormer-Woronowicz theorem;
(7) The positive partial transpose criterion for separability;
(8) Unistochastic operations determined by unitary matrices of an 
extended dimensionality.


Sponsored by the Cambridge-MIT Institute
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