Available student project - Two-parameter estimation with Gaussian state probes

Research fields

  • Quantum Science and Applications

Project details

For N copies of a quantum probe, each with a position X and momentum P, we can perform some form of measurement on these probes to arrive at an estimate for X and P. This is a two-parameter estimation problem.

The precision of our estimate on X and P is bounded by the quantum Cramer-Rao bound. This bound depends only on the state of the probe and is independent of the measurement scheme. For a single parameter estimation problem, the quantum Cramer-Rao bound can always be saturated. In particular, when the probe is a squeezed state, a homodyne measurement of the squeezed quadrature is optimal. 

However, for a two-parameter estimation of X and Y, we cannot find a measurement scheme that saturates the Cramer-Rao bound. This implies that either: (i) the bound is not tight or (ii) the measurement scheme is not optimal. Or both.

The aim of the project is to calculate tigher bounds on the precision of the estimate.

Project suitability

This research project can be tailored to suit students of the following type(s)
  • 3rd year special project
  • PhB (2nd or 3rd year)
  • Honours project
  • Phd or Masters
  • Vacation scholar

Contact supervisor

Assad, Syed profile
Research Associate

Other supervisor(s)

Bradshaw, Mark profile
PhD Student

Updated:  15 January 2019/ Responsible Officer:  Director, RSPE/ Page Contact:  Physics Webmaster