Sophie Schirmer: Quantum System Identification: Hamiltonian tomography and decoherence estimation from noisy time series data

Sophie Schirmer, University of Cambridge

Abstract

I will discuss ways to characterize the dynamics of a quantum system given a restricted set of initial states that can be prepared and a very limited set of available measurements. I will first discuss strategies for Hamiltonian identification using Bayesian parameter estimation from noisy time series data, level structure identification and finally Hamiltonian reconstruction. I will then consider how to generalize this approach to open systems in special cases, e.g., to estimate dephasing rates, and possible alternatives.

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References -- recent:

http://arxiv.org/abs/1012.4593
http://arxiv.org/abs/0911.1367
http://arxiv.org/abs/0911.5429
http://arxiv.org/abs/0805.2725
http://arxiv.org/abs/quant-ph/0702123

and a link to the first one we did on this for 2-level systems:

http://www.damtp.cam.ac.uk/user/sgs29/research/papers/PRA69n050306R.pdf