Quantum Maps and Density Operators: An Introduction to Beyond the Unitary
Daniel Kuan Li Oi University of Cambridge, England
Mon Jan 27, Wed Jan 29, 09-10:30am, NW14-1112
No enrollment limit, no advance sign up
Participants requested to attend all sessions (non-series)
Prereq: Introductory Quantum Mechanics, Two Years of Calculus
In this preparatory course, the concepts of the density operator and mixed states will be introduced. Mixed states naturally arise from non-unitary evolution of initially pure states. These evolutions can be characterised by (completely) positive maps or channels acting on the state space of density operators. The physical significance of complete positivity will be discussed. Two ways of describing completely positive maps are the Kraus, and the Unitary / Ancilla representations. The positive maps on the qubit will be used as an illustrative example.
Contact: Timothy F. Havel, NW14-2218, 253-8309, tfhavel@mit.edu
Sponsor: Cambridge-MIT Institute
Latest update: 11-Dec-2002
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