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dc.contributor.authorSone, Akira
dc.contributor.authorCappellaro, Paola
dc.date.accessioned2018-03-23T17:03:00Z
dc.date.available2018-03-23T17:03:00Z
dc.date.issued2017-12
dc.identifier.issn2469-9926
dc.identifier.issn2469-9934
dc.identifier.urihttp://hdl.handle.net/1721.1/114260
dc.description.abstractEstimating the dimension of an Hilbert space is an important component of quantum system identification. In quantum technologies, the dimension of a quantum system (or its corresponding accessible Hilbert space) is an important resource, as larger dimensions determine, e.g., the performance of quantum computation protocols or the sensitivity of quantum sensors. Despite being a critical task in quantum system identification, estimating the Hilbert space dimension is experimentally challenging. While there have been proposals for various dimension witnesses capable of putting a lower bound on the dimension from measuring collective observables that encode correlations, in many practical scenarios, especially for multiqubit systems, the experimental control might not be able to engineer the required initialization, dynamics, and observables. Here we propose a more practical strategy that relies not on directly measuring an unknown multiqubit target system, but on the indirect interaction with a local quantum probe under the experimenter's control. Assuming only that the interaction model is given and the evolution correlates all the qubits with the probe, we combine a graph-theoretical approach and realization theory to demonstrate that the system dimension can be exactly estimated from the model order of the system. We further analyze the robustness in the presence of background noise of the proposed estimation method based on realization theory, finding that despite stringent constrains on the allowed noise level, exact dimension estimation can still be achieved.en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (PHY0551153)en_US
dc.description.sponsorshipUnited States. Army Research Office (Grant W911NF-15-1-0548)en_US
dc.description.sponsorshipUnited States. Army Research Office (Grant W911NF-11-1-0400)en_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevA.96.062334en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceAmerican Physical Societyen_US
dc.titleExact dimension estimation of interacting qubit systems assisted by a single quantum probeen_US
dc.typeArticleen_US
dc.identifier.citationSone, Akira, and Paola Cappellaro. “Exact Dimension Estimation of Interacting Qubit Systems Assisted by a Single Quantum Probe.” Physical Review A, vol. 96, no. 6, Dec. 2017. © 2017 American Physical Societyen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Nuclear Science and Engineeringen_US
dc.contributor.departmentMassachusetts Institute of Technology. Research Laboratory of Electronicsen_US
dc.contributor.mitauthorSone, Akira
dc.contributor.mitauthorCappellaro, Paola
dc.relation.journalPhysical Review Aen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2018-02-07T20:55:42Z
dc.language.rfc3066en
dc.rights.holderAmerican Physical Society
dspace.orderedauthorsSone, Akira; Cappellaro, Paolaen_US
dspace.embargo.termsNen_US
dc.identifier.orcidhttps://orcid.org/0000-0003-3539-6140
dc.identifier.orcidhttps://orcid.org/0000-0003-3207-594X
mit.licensePUBLISHER_POLICYen_US


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