Quantum Maps and Quantum Computers in Phase Space
Marcos Saraceno University of Buenos Aires, Argentina
Wed Jan 22, Fri Jan 24, Mon Jan 27, Wed Jan 29, 10:30am-12:00pm, NW14-1112
No enrollment limit, no advance sign up
Participants requested to attend all sessions (non-series)
Prereq: Graduate or Advanced Undergraduate Quantum Mechanics
Four 1 1/2 hour lectures on the use of phase space techniques to analyze quantum maps and quantum algorithms. Topics to be covered are tentatively:
1) Classical and Quantum Maps: (a) Classical maps, generating functions, examples; (b) Quantum mechanics on the torus; (c) Quantization of simple classical transformations
2) Quantum Maps as Algorithms: (a) The Fourier transform; (b) Kicked, Baker's and Smale maps, (c) Grover's algorithm; (d) Cat maps
3) Phase Space Representations: (a) The density matrix; (b) Discrete "phase point" operators, translations and reflections; (c) The Weyl representation, Wigner functions; (d) The Kirkwood and Husimi representations
4) Super-operators in Phase Space: (a) The unitary case, Perron-Frobenius operator; (b) Models of decoherence in Phase space, Coarse Graining; (c) Spectral properties and rates of decoherence.
Contact: Timothy F. Havel, NW14-2218, 253-8309, tfhavel@mit.edu
Sponsor: Physics
Latest update: 10-Dec-2002
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