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Chinese Physics

Implementing the Deutsch–Jozsa algorithm by using Schrödinger cat states in cavity QED

Rong‐Can Yang, Hongcai Li, Lin Xiu, Meixiang Chen

Published Sep 21, 2006• 9 citations
Publisher

Abstract

We propose a scheme to implement the Deutsch–Jozsa algorithm by using Schrödinger cat states in cavity quantum electron-dynamics (QED). The scheme is based on the Raman interaction of a degenerate three-level Λ-type atom with a coherent state in a cavity. By using Schrödinger cat states, the atomic spontaneous emission can be minimized and the Hadamard transformation in our scheme is not needed.

DOI
10.1088/1009-1963/15/10/021

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We propose a scheme to implement the Deutsch–Jozsa algorithm by using Schrödinger cat states in cavity quantum electron-dynamics (QED). The scheme is based on the Raman interaction of a degenerate three-level Λ-type atom with a coherent state in a cavity. By using Schrödinger cat states, the atomic spontaneous emission can be minimized and the Hadamard transformation in our scheme is not needed.
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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.