PIRSA:12120036 Scientific Series Quantum Foundations

DOI10.48660/12120036

Series: Quantum Foundations

Madhok, V. (2012). Quantum Chaos, Information Gain and Quantum Tomography.. Perimeter Institute. https://pirsa.org/12120036

Madhok, Vaibhav. Quantum Chaos, Information Gain and Quantum Tomography.. Perimeter Institute, Dec. 11, 2012, https://pirsa.org/12120036 

@misc{ pirsa_PIRSA:12120036,
  doi = {10.48660/12120036},
  url = {https://pirsa.org/12120036},
  author = {Madhok, Vaibhav},
  keywords = {Quantum Foundations},
  language = {en},
  title = {Quantum Chaos, Information Gain and Quantum Tomography.},
  publisher = {Perimeter Institute},
  year = {2012},
  month = {dec},
  note = {PIRSA:12120036 see, \url{https://pirsa.org}}
}

Abstract

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. 

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