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Physical Review A

One-step implementation of an N -qubit controlled-phase gate with neutral atoms trapped in an optical cavity

Yun‐Feng Xiao, Xu‐Bo Zou, Guang‐Can Guo

Published May 4, 2007• 44 citations
Publisher

Abstract

We present a one-step scheme for direct implementation of an $N$-qubit controlled-phase gate with atoms trapped in a high-$Q$ optical cavity without resorting to a sequence of single- and two-qubit gates. The interaction time that is required to implement the scheme does not rise with increasing number of qubits. This might lead to more efficient construction of quantum circuits and quantum algorithms.

DOI
10.1103/physreva.75.054303

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We present a one-step scheme for direct implementation of an NNN-qubit controlled-phase gate with atoms trapped in a high-QQQ optical cavity without resorting to a sequence of single- and two-qubit gates. The interaction time that is required to implement the scheme does not rise with increasing number of qubits. This might lead to more efficient construction of quantum circuits and quantum algorithms.
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We first propose an experimental scheme to implement a two-qubit conditional zzz gate with atoms trapped in a high-QQQ optical cavity. The scheme is based on a combination of resonant interaction and quantum interference. Further, we show that the scheme can be directly generalized to implement an NNN-qubit conditional zzz gate, and the interaction time required to implement scheme does not change with increasing the number of qubits. This might lead to more efficient construction of quantum circuits and quantum algorithms.
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