Efficient one- and two-qubit pulsed gates for an oscillator stabilized Josephson qubit

We present theoretical schemes for performing high-fidelity one- and two-qubit pulsed gates for a superconducting flux qubit. The "IBM qubit" consists of three Josephson junctions, three loops, and a superconducting transmission line. Assuming a fixed indu

E cientone-andtwo-qubitpulsedgatesforanoscillatorstabilizedJosephsonqubit

DeceasedFredericoBrito,DavidP.DiVincenzo,RogerH.Koch ,andMatthiasSte enIBMT.J.WatsonResearchCenter,P.O.Box218,YorktownHeights,NY10598USAAbstract.Wepresenttheoreticalschemesforperforminghigh- delityone-andtwo-qubitpulsedgatesforasuperconducting uxqubit.The“IBMqubit”consistsofthreeJosephsonjunctions,threeloops,andasuperconductingtransmissionline.Assuminga xedinductivequbit-qubitcoupling,weshowthatthee ectivequbit-qubitinteractionistunablebychangingtheapplied uxes,andcanbemadenegligible,allowingonetoperformhigh delitysinglequbitgates.Ourschemesaretailoredtoalleviateerrorsdueto1/fnoise;we ndgateswithonly1%lossof delityduetothissource,forpulsetimesintherangeof20-30nsforone-qubitgates(Zrotations,Hadamard),and60nsforatwo-qubitgate(controlled-Z).Ourrelaxationanddephasingtimeestimatesindicateacomparablelossof delityfromthissource.Thecontrolofleakageplaysanimportantroleinthedesignofourshapedpulses,preventingshorterpulsetimes.However,wehavefoundthatimprecisioninthecontrolofthequantumphaseplaysthemajorroleinthelimitationofthe delityofourgates.PACSnumbers:85.25.Cp,03.67.Lx,85.25.Dq,85.25.HvarXiv:0709.1478v2 [quant-ph] 19 Mar 2008

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