Abstract
We present a scheme to realize geometric phase-shift gate for twosuperconducting quantum interference device (SQUID) qubits coupled to asingle-mode microwave field. The geometric phase-shift gate operation isperformed in two lower flux states, and the excited state |2⟩ wouldnot participate in the procedure. The SQUIDs undergo no transitions duringthe gate operation. Thus, the docoherence due to energy spontaneous emissionbased on the levels of SQUIDs are suppressed. The gate is insensitive to thecavity decay throughout the operation since the cavity mode is displacedalong a circle in the phase space, acquiring a phase conditional upon thetwo lower flux states of the SQUID qubits, and the cavity mode is still inthe original vacuum state. Based on the SQUID qubits interacting with thecavity mode, our proposed approach may open promising prospects for quantumlogic in SQUID-system.
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