Picture of virus under microscope

Research under the microscope...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs.

Strathprints serves world leading Open Access research by the University of Strathclyde, including research by the Strathclyde Institute of Pharmacy and Biomedical Sciences (SIPBS), where research centres such as the Industrial Biotechnology Innovation Centre (IBioIC), the Cancer Research UK Formulation Unit, SeaBioTech and the Centre for Biophotonics are based.

Explore SIPBS research

Identifying an experimental two-state Hamiltonian to arbitrary accuracy

Cole, J H and Schirmer, S G and Greentree, A D and Wellard, C J and Oi, D K L and Hollenberg, L C L (2005) Identifying an experimental two-state Hamiltonian to arbitrary accuracy. Physical Review A, 71 (6). ISSN 1094-1622

[img]
Preview
PDF
0501116v2.pdf - Preprint

Download (285kB) | Preview

Abstract

Precision control of a quantum system requires accurate determination of the effective system Hamiltonian. We develop a method for estimating the Hamiltonian parameters for some unknown two-state system and providing uncertainty bounds on these parameters. This method requires only one measurement basis and the ability to initialize the system in some arbitrary state which is not an eigenstate of the Hamiltonian in question. The scaling of the uncertainty is studied for large numbers of measurements and found to be proportional to the reciprocal of the square root of the number of measurements.