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Journal of Fujian Normal University

Implementation of Deutsch-Jozsa Algorithm Via Cavity QED

Mei Jin-feng

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

A scheme for the implementation of the two-qubit Deutsch-Jozsa algorithm using cavity QED was proposed.The advantages of the proposal are demonstrated as follows.One is that the cavity feld is only virtually excited and the photon-number-dependent part in the effective Hamiltonian is cancelled so that the system is insensitive to the cavity decay and the thermal field.The other one is that we don't require any Hadamard operation,which makes the schematic setup simple.Therefore,the present scheme is available based on the current technologies.

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A scheme for the implementation of the two-qubit Deutsch-Jozsa algorithm using cavity QED was proposed.The advantages of the proposal are demonstrated as follows.One is that the cavity feld is only virtually excited and the photon-number-dependent part in the effective Hamiltonian is cancelled so that the system is insensitive to the cavity decay and the thermal field.The other one is that we don't require any Hadamard operation,which makes the schematic setup simple.Therefore,the present scheme is available based on the current technologies.
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.
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.
We present a simple scheme to implement the Deutsch–Jozsa algorithm based on two-atom interaction in a thermal cavity. The photon-number-dependent parts in the evolution operator are cancelled with the strong resonant classical field added. As a result, our scheme is immune to the thermal field, and does not require the cavity to remain in the vacuum state throughout the procedure. Besides, large detuning between the atoms and the cavity is not necessary either, leading to potential speed up of quantum operation. Finally, we show by numerical simulation that the proposed scheme is equal to demonstrate the Deutsch–Jozsa algorithm with high fidelity.