Ph.D. Defense: Final Oral Examination for the Degree of Doctor of Philosophy of Aron Pasieka

Event Details

  • Date:
  • Time: 1:00 PM
  • Location: MacN 222

Thesis Title:

"Adaptive Rank Quantum State Estimation"

Abstract:

Quantum state estimation is an important task in the realm of experimental quantum information science. While the common approaches to this task are generally adequate, the maximum-likelihood method is frequently used with parameterizations that do not strictly satisfy the statistical requirements of maximum-likelihood estimation. We show that the source of this issue is in the structure of the parameter space and we introduce a density matrix parameterization that provides direct control over that structure. This parameterization naturally leads to a quantum state estimation algorithm that does satisfy the statistical requirements for the use of maximum-likelihood estimation. Finally, we examine the algorithm through the analysis of several data sets and experimental results.

Examination Committee:

  • Dr. Xiaorong Qin, Chair
  • Dr. David W. Kribs, Advisor
  • Dr. Kevin J. Resch, Co-advisor
  • Dr. Elisabeth J. Nicol
  • Dr. Robert W. Spekkens (Perimeter Institute) External Examiner

Advisors:

Dr. David Kribs, Dr. Kevin J. Resch