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NMR implementation of adiabatic SAT algorithm using strongly modulated pulses

Show simple item record Mitra, A. en_US MAHESH, T. S. en_US Kumar, A. en_US 2018-11-30T09:30:59Z 2018-11-30T09:30:59Z 2008-03 en_US
dc.identifier.citation Journal of Chemical Physics, Vol.128(12), 124110. en_US
dc.identifier.issn 0021-9606 en_US
dc.identifier.issn 1089-7690 en_US
dc.identifier.uri en_US
dc.description.abstract NMR implementation of adiabatic algorithms face severe problems in homonuclear spin systems since the qubit selective pulses are long and during this period, evolution under the Hamiltonian and decoherence cause errors. The decoherence destroys the answer as it causes the final state to evolve to mixed state and in homonuclear systems, evolution under the internal Hamiltonian causes phase errors preventing the initial state to converge to the solution state. The resolution of these issues is necessary before one can proceed to implement an adiabatic algorithm in a large system where homonuclear coupled spins will become a necessity. In the present work, we demonstrate that by using strongly modulated pulses (SMPs) for the creation of interpolating Hamiltonian, one can circumvent both the problems and successfully implement the adiabatic SAT algorithm in a homonuclear three qubit system. This work also demonstrates that the SMPs tremendously reduce the time taken for the implementation of the algorithm, can overcome problems associated with decoherence, and will be the modality in future implementation of quantum information processing by NMR. en_US
dc.language.iso en en_US
dc.publisher AIP Publishing en_US
dc.subject NMRimplementation en_US
dc.subject Adiabatic en_US
dc.subject SAT algorithm en_US
dc.subject Modulatedpulses en_US
dc.subject Homonuclear systems en_US
dc.subject Interpolating Hamiltonian en_US
dc.title NMR implementation of adiabatic SAT algorithm using strongly modulated pulses en_US
dc.type Article en_US
dc.contributor.department Dept. of Physics en_US
dc.identifier.sourcetitle Journal of Chemical Physics en_US
dc.publication.originofpublisher Foreign en_US

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