PIRSA:18070041

Video URL

https://pirsa.org/18070041

Analytical techniques for finding optimal quantum measurements

Croke, S. (2018). Analytical techniques for finding optimal quantum measurements. Perimeter Institute for Theoretical Physics. https://pirsa.org/18070041

Croke, Sarah. Analytical techniques for finding optimal quantum measurements. Perimeter Institute for Theoretical Physics, Jul. 11, 2018, https://pirsa.org/18070041 

          @misc{ scivideos_PIRSA:18070041,
            doi = {10.48660/18070041},
            url = {https://pirsa.org/18070041},
            author = {Croke, Sarah},
            keywords = {Quantum Information},
            language = {en},
            title = {Analytical techniques for finding optimal quantum measurements},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2018},
            month = {jul},
            note = {PIRSA:18070041 see, \url{https://scivideos.org/index.php/pirsa/18070041}}
          }

Sarah Croke University of Glasgow

Talk numberPIRSA:18070041
DOI10.48660/18070041
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

For many optimal measurement problems of interest, the problem may be re-cast as a semi-definite program, for which efficient numerical techniques are available. Nevertheless, numerical solutions give limited insight into more general instances of the problem, and further, analytical solutions may be desirable when an optimised measurement appears as a sub-problem in a larger problem of interest. I will discuss analytical techniques for finding optimal measurements for state discrimination with minimum error and present applications to studying the gap between the theoretically optimal measurement and simpler, experimentally achievable schemes for bi-partite measurement problems.