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Trapped Ion Quantum Computing

Bayesian Quantum Noise Spectroscopy

arXiv
Authors: Christopher Ferrie, Christopher Granade, Gerardo A. Paz-Silva, Howard M. Wiseman

Year

2017

Paper ID

44584

Status

Preprint

Abstract Read

~2 min

Abstract Words

105

Citations

N/A

Abstract

As commonly understood, the noise spectroscopy problem---characterizing the statistical properties of a noise process affecting a quantum system by measuring its response---is ill-posed. Ad-hoc solutions assume implicit structure which is often never determined. Thus it is unclear when the method will succeed or whether one should trust the solution obtained. Here we propose to treat the problem from the point of view of statistical estimation theory. We develop a Bayesian solution to the problem which allows one to easily incorporate assumptions which render the problem solvable. We compare several numerical techniques for noise spectroscopy and find the Bayesian approach to be superior in many respects.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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  • As commonly understood, the noise spectroscopy problem---characterizing the statistical properties of a noise process affecting a quantum system by measuring its response---is...

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