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Chinese Physics B

One-step implementation of an N -qubit quantum phase gate through a double Raman passage

Haiyan Lü, Yu Ya-Fei, Zhi‐Ming Zhang

Published Mar 1, 2010• 2 citations
Publisher

Abstract

We propose a scheme for controllably implementing an N -qubit phase gate by one step within a ground-state subspace of N three-state atoms trapped in a cavity through a double Raman passage. We can extend our scheme to the realisation of an arbitrary N -qubit phase gate by appropriately adjusting coupling strengths and detunings between atoms and external driving fields. The advantage of this one-step scheme is its robustness against decoherence.

DOI
10.1088/1674-1056/19/3/034205

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We propose a scheme for implementing conditional quantum phase gates for two four-state atoms trapped in a cavity. The two ground states of the atoms are coupled through two Raman processes induced by the cavity mode and two classical fields. Under certain conditions nonresonant Raman processes lead to two-atom coupling and can be used to produce conditional phase gates. The scheme is insensitive to cavity decay, thermal photons, and atomic spontaneous emission. The scheme does not require individual addressing of the atoms.
We propose a scheme for implementing quantum computation with NNN atoms trapped in a single-sided cavity. In our scheme, a multiqubit controlled-phase-flip (MCPF) gate as well as a quantum controlled phase flip gate is performed by only one step. The numerical simulations show that the protocol is robust to practical noise. In addition, the scheme can also be extended to achieve other multiqubit controlled unitary gates, and implement MCPF gate on atoms trapped in different cavities.
We propose how to realize a three-step controlled-phase gate of one qubit simultaneously controlling nnn qubits in a cavity or coupled to a resonator. The nnn 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 nnn of qubits. This phase gate controlling at once nnn qubits is insensitive to the initial state of the cavity mode and can be used to produce an analogous CNOT gate simultaneously acting on nnn 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 nnn qubits selected from NNN qubits coupled to a resonator (1<n<N1<n<N1<n<N). We also give a discussion on realizing the proposed gate with atoms, by using one cavity initially in an arbitrary state.
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