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Physics Letters A

Arbitrary single-qubit operations without energy relaxation in a three-level SQUID qubit

Chui‐Ping Yang, Siyuan Han

Published Jan 13, 2004• 32 citations
Publisher
DOI
10.1016/j.physleta.2003.12.044

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We report a theoretical investigation of decoherence induced by energy relaxation of the auxiliary level in the $\ensuremath{\Lambda}$-type three-level SQUID flux qubits. We show that the energy-relaxation-induced decoherence in this particular case is proportional to the average population of the auxiliary level and thus can be effectively suppressed by the use of a dark-state approach in which the auxiliary level is unpopulated. We demonstrate through bit-flip operation that the dark state can be realized by means of the stimulated Raman adiabatic passage (STIRAP). An extension of the dark-state scheme to create any superposition state is straightforward.
We show a way to realize an arbitrary rotation gate in a three-level superconducting quantum interference device (SQUID) qubit using resonant interaction. In this approach, the two logical states of the qubit are represented by the two lowest levels of the SQUID and a higher-energy intermediate level is utilized for the gate manipulation. By considering spontaneous decay from the intermediate level during the gate operation, we present a formula for calculating average fidelity over all possible initial states. Finally, based on realistic system parameters, we show that an arbitrary rotation gate can be achieved with a high fidelity in a SQUID.