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A theoretical analysis of flux-qubit measurements with a dc-SQUID

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arxiv cond-mat/0406622 v1 pith:3TH5VN3Y submitted 2004-06-25 cond-mat.supr-con cond-mat.mes-hall

A theoretical analysis of flux-qubit measurements with a dc-SQUID

H. Nakano , H. Tanaka , S. Saito , K. Semba , H. Takayanagi , M. Ueda This is my paper
classification cond-mat.supr-con cond-mat.mes-hall
keywords currentqubitswitchingdc-squidmeasurementflux-qubitobtainedqubit-squid
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The readout process of a superconducting flux-qubit is theoretically analyzed in terms of the quantum dynamics of a qubit-SQUID coupled system during measurement. The quantity directly observed by the measurement is the switching current (Isw) of the dc-SQUID placed around the qubit ring. In order to clarify the relation between the Isw and the qubit state, we calculated the time evolution of the density operator of the qubit-SQUID system while increasing the SQUID bias current until switching events occur and obtained the switching current distributions. This clarifies what information of the qubit is obtained by a dc-SQUID switching current measurement under specific conditions, for example, when the qubit eigenstate is a superposition of two different flux states.

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