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Modern Physics Letters B

IMPLEMENTATION OF TWO-QUBIT DEUTSCH–JOZSA ALGORITHM WITH TRAPPED IONS

Zhiming Zhan

Published May 20, 2009• 0 citations
Publisher

Abstract

In this paper, we propose a scheme to implement two-qubit Deutsch–Jozsa algorithm with trapped ions. The distinct advantage of the scheme lies in the fact that it does not use the vibrational mode as the data bus. The vibrational mode is only virtually excited, which makes our scheme insensitive to heating provided that the system remains in the Lamb–Dicke regime.

DOI
10.1142/s0217984909019703

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Modern Physics Letters B•Sep 20, 2008•2 citations
In this paper, we propose a scheme to implement two-qubit Deutsch–Jozsa algorithm with trapped ions. The distinct advantage of the scheme lies in the fact that it does not use the vibrational mode as the data bus. The vibrational mode is only virtually excited, which makes our scheme insensitive to heating provided that the system remains in the Lamb–Dicke regime.
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.
Following the recent proposal by Briegel et al. [Phys. Rev. Lett. 86 (2001) 910], a procedure is proposed for one-step realizing quantum control phase gates with two trapped ions in thermal motion. It is shown that the scheme can also be used to create a new special type of entangled states, i.e., cluster states of many trapped ions. In the scheme the two-trapped ions are simultaneously excited by a single laser beam and the frequency of the laser beam is slightly off resonance with the first lower vibration sideband of the trapped ions. The distinct advantage of the scheme is that it does not use the vibrational mode as the data bus. Furthermore, our scheme is insensitive to both the initial motional state and heating (or decay) as long as the system remains in the Lamb–Dicke regime.