On the Duality Between Quantum States and Quantum Maps
Karol Zyczkowski Perimeter Institute - Waterloo, Ontario and Institute of Phy
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.
Contact: Tim Havel, NW14-2218, (617) 253-8309, tfhavel@mit.edu
Sponsor: Cambridge-MIT Institute
Latest update: 13-Dec-2004
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