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Progress in Natural Science Materials International

A scheme to implement the Deutsch-Josza algorithm on a superconducting charge-qubit quantum computer*

Huo Wenyi, Long Guilu

Published Jun 1, 2006• 5 citations
Publisher

Abstract

Abstract We have studied the implementation of the Deutsch-Josza quantum algorithm in a superconducting charge-qubit quantum computer. Different from previous studies, we have used the indcutance coupled system of You et al. The detailed pulse sequences have been designed for the four possible functions in a 2-qubit system. The result is generalized to an arbitrary n-qubit system. This scheme will be useful for practical implementation of the algorithm. Supported by the National Fundamental Research Program (Grant No. 001CB309308), National Natural Science Foundation of China (Grant Nos. 10325521, 60433050), the Hang-Tian Science Fund, and the SRFDP program of Education Ministry of China.

DOI
10.1080/10020070612330040

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Abstract We have studied the implementation of the Deutsch-Josza quantum algorithm in a superconducting charge-qubit quantum computer. Different from previous studies, we have used the indcutance coupled system of You et al. The detailed pulse sequences have been designed for the four possible functions in a 2-qubit system. The result is generalized to an arbitrary n-qubit system. This scheme will be useful for practical implementation of the algorithm. Supported by the National Fundamental Research Program (Grant No. 001CB309308), National Natural Science Foundation of China (Grant Nos. 10325521, 60433050), the Hang-Tian Science Fund, and the SRFDP program of Education Ministry of China.
We propose a scheme of implementing the Deutsch–Jozsa algorithm based on superconducing charge qubits, which would be a key step to scale more complex quantum algorithms and very important for constructing a real quantum computer via superconducting charge qubits. The present scheme is simple but fairly efficient, and easily manipulated because arbitrary two-qubit can be selectively and effectively coupled by a common inductance. More manipulations can be carried out before decoherence sets in. The proposed scheme is in line with current technology.
We show that the Deutsch-Jozsa algorithm for up to four qubits can be realized with a setup of Josephson charge qubits. While existing proposals for the implementation of the algorithm (for up to three qubits) are based on certain classifications of the oracles, this approach becomes increasingly cumbersome for higher qubit numbers. Here we present a method to implement all balanced functions for the four-qubit algorithm by a fixed sequence of operations. The free parameters which define the implemented function are the rotation angles of 15 one-qubit operations.