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The Journal of Atomic and Molecular Sciences

Efficient Scheme for Implementing the Deutsch-Jozsa Algorithm in Cavity QED

Xue-Ke Song, Liu Ye

Published Apr 1, 2013• 0 citations
Publisher

Abstract

A scheme is proposed for implementing a two-qubit quantum logic gate and realizing the Deutsch-Jozsa algorithm in cavity QED. In the scheme a three-level atom interacts with highly detuned cavity modes. The gate is not affected by the atomic decay rates because of the metastable lower levels are involved in the gate operations. The Deutsch-Jozsa algorithm is easily realized with current experimental techniques.

DOI
10.4208/jams.061912.080112a

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A scheme is proposed for implementing a two-qubit quantum logic gate and realizing the Deutsch-Jozsa algorithm in cavity QED. In the scheme a three-level atom interacts with highly detuned cavity modes. The gate is not affected by the atomic decay rates because of the metastable lower levels are involved in the gate operations. The Deutsch-Jozsa algorithm is easily realized with current experimental techniques.
We propose two physical schemes for implementing the simplest version of Deutsch-Jozsa algorithm(D-J) based on cavity QED technique.One is a perfect scheme,which can be generalized to multi-qubit inputs Deutsch-Jozsa algorithm.It can be realized with the help of controlled-NOT gates and single-qubit operations.The detailed process in cavity QED is discussed in the scheme.The other is a simpler scheme without controlled-NOT gates,which is only suit for the simplest version of Deutsch-Jozsa algorithm.The scheme only requires single-qubit operation.Thus the scheme can be realized easier than the former one.Our schemes would be an important step for quantum computer.
A scheme is proposed to obtain three-qubit gates, such as quantum-phase gate and C2{C}^{2}C2-NOT gate operations, in a cavity QED system where highly detuned cavity-field modes interact with a four-level system in an inverted-Y configuration. The influence of the Stark shift is also included in such proposed gate operations. Since only the metastable lower levels are involved in the gate operations, the gates are not affected by the atomic decay rates. The potential application of such gates to realize Grover's algorithm is also discussed.
We theoretically study the realization of a multi-qubit refined Deutsch-Jozsa (DJ) algorithm using resonant interaction of many Rydberg atoms with a single-mode microwave cavity, in which the multi-qubit controlled phase gates could be accomplished efficiently. We show how to achieve a multi-qubit refined DJ algorithm in high fidelity, even in the case of a weak cavity decay and some imperfection. We argue that the required operations in our scheme are almost within the present experimental possibilities.
We propose a scheme to implement the n -qubit Deutsch–Jozsa algorithm based on resonant interaction between the atoms and a single-mode cavity. In the scheme, the resonant transitions between two ground states and one excited state of an atom are changed alternately by adjusting the cavity frequency appropriately, and the operations required to complete the algorithm can be significantly simplified following the increment of the number of qubits. The implementation of the scheme in experiment would show the full power of quantum algorithm and would be significative and important for more complicated quantum algorithm in cavity quantum electrodynamics.