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- Quantum Chaos, Information Gain and Quantum Tomography.

Quantum chaos is the study

of quantum systems whose classical description is chaotic.

How does chaos manifest itself in

the quantum world? In recent years, attempts have been made

to address this question from the perspective of quantum information

theory. It is in this spirit that we study the connection

between quantum chaos and information gain in the

time series of a measurement record used for quantum tomography. The

record is obtained as a sequence of expectation values of a Hermitian operator

evolving under repeated application of the Floquet operator of

the quantum kicked top on a large ensemble of identical systems. We

find an increase in information gain and hence higher fidelities

in the process when the Floquet maps employed increase in chaoticity. We make

predictions for the information gain using random matrix theory

in the fully chaotic regime and show a remarkable agreement between

the two.

Collection/Series:

Event Type:

Seminar

Scientific Area(s):

Speaker(s):

Event Date:

Tuesday, December 11, 2012 - 15:30 to 17:00

Location:

Time Room

©2012 Perimeter Institute for Theoretical Physics