PIRSA:16060094

Estimating dynamic parameters quantumly

Jordan, A. (2016). Estimating dynamic parameters quantumly. Perimeter Institute. https://pirsa.org/16060094

Jordan, Andrew. Estimating dynamic parameters quantumly. Perimeter Institute, Jun. 09, 2016, https://pirsa.org/16060094 

          @misc{ pirsa_PIRSA:16060094,
            doi = {10.48660/16060094},
            url = {https://pirsa.org/16060094},
            author = {Jordan, Andrew},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Estimating dynamic parameters quantumly},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {jun},
            note = {PIRSA:16060094 see, \url{https://pirsa.org}}
          }

Andrew Jordan University of Rochester

DOI 10.48660/16060094
Collection
Talk Type Scientific Series
Subject

Abstract

I will give an overview of two ways to estimate parameters with a quantum system when the dynamics is nontrivial.  In the first case, the parameter is changing in an irregular way, and we use consider the use of continuous measurement to track it in time.  Tracking speed is of the essence for feedback purposes, and I will present our new and improved way to speed up the estimation algorithm.   In the second case, I will consider the use of Hamiltonian control to estimate a fixed parameter, but of a time-dependent Hamiltonian.  In this case established scaling bounds on the quantum Fisher information can be broken, and the quantum control is needed to do it.  A simple spin example will be given to illustrate the general results.