How to best sample a periodic probability distribution, or on the accuracy of Hamiltonian finding strategies

Ferrie, C; Granade, CE; Cory, DG

How to best sample a periodic probability distribution, or on the accuracy of Hamiltonian finding strategies

Ferrie, C

Granade, CE Cory, DG

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Publication Type:: Journal Article
Citation:: Quantum Information Processing, 2013, 12 (1), pp. 611 - 623
Issue Date:: 2013-01-01

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Field	Value	Language
dc.contributor.author	Ferrie, C https://orcid.org/0000-0003-2736-9943	en_US
dc.contributor.author	Granade, CE	en_US
dc.contributor.author	Cory, DG	en_US
dc.date.issued	2013-01-01	en_US
dc.identifier.citation	Quantum Information Processing, 2013, 12 (1), pp. 611 - 623	en_US
dc.identifier.issn	1570-0755	en_US
dc.identifier.uri	http://hdl.handle.net/10453/117413
dc.description.abstract	Projective measurements of a single two-level quantum mechanical system (a qubit) evolving under a time-independent Hamiltonian produce a probability distribution that is periodic in the evolution time. The period of this distribution is an important parameter in the Hamiltonian. Here, we explore how to design experiments so as to minimize error in the estimation of this parameter. While it has been shown that useful results may be obtained by minimizing the risk incurred by each experiment, such an approach is computationally intractable in general. Here, we motivate and derive heuristic strategies for experiment design that enjoy the same exponential scaling as fully optimized strategies. We then discuss generalizations to the case of finite relaxation times, T2 < ∞. © 2012 Springer Science+Business Media, LLC.	en_US
dc.relation.ispartof	Quantum Information Processing	en_US
dc.relation.isbasedon	10.1007/s11128-012-0407-6	en_US
dc.subject.classification	Mathematical Physics	en_US
dc.title	How to best sample a periodic probability distribution, or on the accuracy of Hamiltonian finding strategies	en_US
dc.type	Journal Article
utslib.citation.volume	1	en_US
utslib.citation.volume	12	en_US
utslib.for	0105 Mathematical Physics	en_US
utslib.for	0206 Quantum Physics	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
utslib.copyright.status	closed_access
pubs.issue	1	en_US
pubs.publication-status	Published	en_US
pubs.volume	12	en_US

Abstract:

Projective measurements of a single two-level quantum mechanical system (a qubit) evolving under a time-independent Hamiltonian produce a probability distribution that is periodic in the evolution time. The period of this distribution is an important parameter in the Hamiltonian. Here, we explore how to design experiments so as to minimize error in the estimation of this parameter. While it has been shown that useful results may be obtained by minimizing the risk incurred by each experiment, such an approach is computationally intractable in general. Here, we motivate and derive heuristic strategies for experiment design that enjoy the same exponential scaling as fully optimized strategies. We then discuss generalizations to the case of finite relaxation times, T2 < ∞. © 2012 Springer Science+Business Media, LLC.

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http://hdl.handle.net/10453/117413