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We propose an approach to realize an $n$-qubit controlled-$U$ gate withsuperconducting quantum interference devices (SQUIDs) in cavity QED. In thisapproach, the two lowest levels of a SQUID represent the two logical states ofa qubit while a higher-energy intermediate level serves the gate manipulation.Our method operates essentially by creating a single photon through one of thecontrol SQUIDs and then performing an arbitrary unitrary transformation on thetarget SQUID with the assistance of the cavity photon. In addition, we showthat the method can be applied to implement an $n $% -qubit controlled-$U$ gatewith atomic qubits in cavity QED.Comment: 13 pages, 7 figures, 1 table, RevTeX, Accepted by Physical Review

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

Realization of an<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math>-qubit controlled-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>U</mml:mi></mml:mrow></mml:math>gate with superconducting quantum interference devices or atoms in cavity QED

Realization of ann-qubit controlled-Ugate with superconducting quantum interference devices or atoms in cavity QED