Phase gate of one qubit simultaneously controlling $n$ qubits in a cavity

Details Phase gate of one qubit simultaneously controlling $n$ qubits in a cavity Phase gate of one qubit simultaneously controlling $n$ qubits in a cavity

2009-12-21

arxiv.org/abs/0912.4242v5

Phys. Rev. A 81, 062323 (2010)

Physics

Quantum Physics

21 pages, 9 figures, 2 tables

Scientific paper

We propose how to realize a three-step controlled-phase gate of one qubit simultaneously controlling $n$ qubits in a cavity or coupled to a resonator. The $n$ two-qubit controlled-phase gates, forming this multiqubit phase gate, can be performed simultaneously. The operation time of this phase gate is independent of the number $n$ of qubits. This phase gate controlling at once $n$ qubits is insensitive to the initial state of the cavity mode and can be used to produce an analogous CNOT gate simultaneously acting on $n$ qubits. We present two alternative approaches to implement this gate. One approach is based on tuning the qubit frequency while the other method tunes the resonator frequency. Using superconducting qubits coupled to a resonator as an example, we show how to implement the proposed gate with one superconducting qubit simultaneously controlling $n$ qubits selected from $N$ qubits coupled to a resonator ($1

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