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Modern Physics Letters B

IMPLEMENTATION OF ONE-QUBIT DEUTSCH–JOZSA ALGORITHM IN A TRIPLE-WELL SEMICONDUCTOR QUANTUM DOT SYSTEM

Ping Dong, Zheng Xiao-Hu, Zhuo‐Liang Cao

Published Sep 20, 2008• 2 citations
Publisher

Abstract

A physical scheme for implementing the one-qubit Deutsch–Jozsa algorithm by electronic population adiabatic transfer in a triple-well quantum dot system is proposed. The scheme is relatively insensitive to gate errors and other external noise. Furthermore, the implementation of Deutsch–Jozsa algorithm via the quantum dot system provides a good example for oracle-based solid quantum computing.

DOI
10.1142/s0217984908016789

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A physical scheme for implementing the one-qubit Deutsch–Jozsa algorithm by electronic population adiabatic transfer in a triple-well quantum dot system is proposed. The scheme is relatively insensitive to gate errors and other external noise. Furthermore, the implementation of Deutsch–Jozsa algorithm via the quantum dot system provides a good example for oracle-based solid quantum computing.
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 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.
A scheme for implementing discrete quantum Fourier transform is proposed via quantum dots embedded in a microcavity, and then some of its applications are investigated, i.e., Deutsch–Jozsa algorithm and Shor's quantum factoring. In particular, the detailed process of implementing one-qubit Deutsch–Jozsa algorithm and the factorization of N = 15 are given. The microcavity mode is only virtually excited in the whole interaction, so the effective decoherent has slight effect on the current scheme. These schemes would be an important step to fabricate a solid quantum computer.