Analytical techniques for finding optimal quantum measurements

APA

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

MLA

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

BibTex

          @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/pirsa/18070041}}
          }
          

Sarah Croke University of Glasgow

Source Repository PIRSA

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.