Debugging quantum processes using monitoring measurements

Li, Y; Ying, M

Debugging quantum processes using monitoring measurements

Li, Y Ying, M

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Publisher:: American Physical Society
Publication Type:: Journal Article
Citation:: Physical Review A, 2014, 89, (4)
Issue Date:: 2014-01

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Field	Value	Language
dc.contributor.author	Li, Y
dc.contributor.author	Ying, M https://orcid.org/0000-0003-4847-702X
dc.date.accessioned	2023-03-14T01:45:10Z
dc.date.available	2023-03-14T01:45:10Z
dc.date.issued	2014-01
dc.identifier.citation	Physical Review A, 2014, 89, (4)
dc.identifier.issn	1050-2947
dc.identifier.issn	1094-1622
dc.identifier.uri	http://hdl.handle.net/10453/167292
dc.description.abstract	Since observation on a quantum system may cause the system state collapse, it is usually hard to find a way to monitor a quantum process, which is a quantum system that continuously evolves. We propose a protocol that can debug a quantum process by monitoring, but not disturb the evolution of the system. This protocol consists of an error detector and a debugging strategy. The detector is a projection operator that is orthogonal to the anticipated system state at a sequence of time points, and the strategy is used to specify these time points. As an example, we show how to debug the computational process of quantum search using this protocol. By applying the Skolem-Mahler-Lech theorem in algebraic number theory, we find an algorithm to construct all of the debugging protocols for quantum processes of time-independent Hamiltonians.
dc.language	English
dc.publisher	American Physical Society
dc.relation	http://purl.org/au-research/grants/arc/DP130102764
dc.relation	http://purl.org/au-research/grants/arc/DP110103473
dc.relation.ispartof	Physical Review A
dc.relation.isbasedon	10.1103/PhysRevA.89.042338
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	Yangjia Li and Mingsheng Ying, Physical Review A, 89, 042338,2014. “ 2014 by the American Physical Society."
dc.subject	01 Mathematical Sciences, 02 Physical Sciences, 03 Chemical Sciences
dc.subject.classification	General Physics
dc.title	Debugging quantum processes using monitoring measurements
dc.type	Journal Article
utslib.citation.volume	89
utslib.for	0802 Computation Theory and Mathematics
utslib.for	01 Mathematical Sciences
utslib.for	02 Physical Sciences
utslib.for	03 Chemical Sciences
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	open_access	*
pubs.consider-herdc	true
dc.date.updated	2023-03-14T01:45:08Z
pubs.issue	4
pubs.publication-status	Published
pubs.volume	89
utslib.citation.issue	4

Abstract:

Since observation on a quantum system may cause the system state collapse, it is usually hard to find a way to monitor a quantum process, which is a quantum system that continuously evolves. We propose a protocol that can debug a quantum process by monitoring, but not disturb the evolution of the system. This protocol consists of an error detector and a debugging strategy. The detector is a projection operator that is orthogonal to the anticipated system state at a sequence of time points, and the strategy is used to specify these time points. As an example, we show how to debug the computational process of quantum search using this protocol. By applying the Skolem-Mahler-Lech theorem in algebraic number theory, we find an algorithm to construct all of the debugging protocols for quantum processes of time-independent Hamiltonians.

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http://hdl.handle.net/10453/167292