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Trapped Ion Quantum Computing

Algebraic metrology: Pretty good states and bounds

arXiv
Authors: Michalis Skotiniotis, Florian Fröwis, Wolfgang Dür, Barbara Kraus

Year

2014

Paper ID

47654

Status

Preprint

Abstract Read

~2 min

Abstract Words

70

Citations

N/A

Abstract

We investigate quantum metrology using a Lie algebraic approach for a class of Hamiltonians, including local and nearest-neighbor interaction Hamiltonians. Using this Lie algebraic formulation, we identify and construct highly symmetric states that admit Heisenberg scaling in precision in the absence of noise, and investigate their performance in the presence of noise. To this aim we perform a numerical scaling analysis, and derive upper bounds on the quantum Fisher information.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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  • We investigate quantum metrology using a Lie algebraic approach for a class of Hamiltonians, including local and nearest-neighbor interaction Hamiltonians.

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