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dc.contributor.authorGarigipati, Rudrayya Chowdary
dc.contributor.authorKumar, Preethika
dc.date.accessioned2013-08-12T18:04:08Z
dc.date.available2013-08-12T18:04:08Z
dc.date.issued2013-07
dc.identifier.citationGarigipati, Rudrayya Chowdary; Kumar, Preethika. 2013. Implementing gate operations between uncoupled qubits in linear nearest neighbor arrays using a learning algorithm. Quantum Information Processing, v.12:no.7:pp.2291-2308en_US
dc.identifier.issn1570-0755
dc.identifier.otherWOS:000321264400001
dc.identifier.urihttp://dx.doi.org/10.1007/s11128-013-0526-8
dc.identifier.urihttp://hdl.handle.net/10057/6135
dc.descriptionClick on the DOI link to access the article (may not be free).en_US
dc.description.abstractWe propose a new scheme to implement gate operations in a one dimensional linear nearest neighbor array, by using dynamic learning algorithm. This is accomplished by training quantum system using a back propagation technique, to find the system parameters that implement gate operations directly. The key feature of our scheme is that, we can reduce the computational overhead of a quantum circuit by finding the parameters to implement the desired gate operation directly, without decomposing them into a sequence of elementary gate operations. We show how the training algorithm can be used as a tool for finding the parameters for implementing controlled-NOT (CNOT) and Toffoli gates between next-to-nearest neighbor qubits in an Ising-coupled linear nearest neighbor system. We then show how the scheme can be used to find parameters for realizing swap gates first, between two adjacent qubits and then, between two next-to-nearest-neighbor qubits, in each case without decomposing it into 3 CNOT gates. Finally, we show how the scheme can be extended to systems with non-diagonal interactions. To demonstrate, we train a quantum system with Heisenberg interactions to find the parameters to realize a swap operation.en_US
dc.description.sponsorshipNational Science Foundation under Award No. EPS-0903806 and matching support from the State of Kansas through Kansas Technology Enterprise Corporation.en_US
dc.language.isoen_USen_US
dc.publisherSpringeren_US
dc.relation.ispartofseriesQuantum Information Processing;v.12:no.7
dc.subjectQuantumen_US
dc.subjectN-qubiten_US
dc.subjectMulti-controlen_US
dc.subjectMulti-coupleden_US
dc.subjectControlled-unitaryen_US
dc.subjectGatesen_US
dc.subjectIsingen_US
dc.subjectDynamicen_US
dc.subjectLearningen_US
dc.subjectSwapen_US
dc.titleImplementing gate operations between uncoupled qubits in linear nearest neighbor arrays using a learning algorithmen_US
dc.typeArticleen_US
dc.description.versionPeer reviewed
dc.rights.holderCopyright © 2013, Springer Science+Business Media New York


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