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Physical Review A

Creation of cluster states of trapped ions by collective addressing

Peter A. Ivanov, Nikolay V. Vitanov, Martin Bodo Plenio

Published Jul 14, 2008• 19 citations
Publisher

Abstract

We propose an efficient technique for creation of cluster states of trapped ions. The ions are addressed collectively, in only two interaction steps, by a pair of pulses tuned near the blue- and red-sideband transitions. The technique is very suitable for four-ion cluster states, for which the initial condition is the product state \ensuremath{\mid}0000⟩. Five- and six-ion cluster states require an initial preparation of one or two Bell states. Larger cluster states can be prepared by using four-ion cluster states as building blocks. The technique is insensitive to vibrational motion and hence to heating.

DOI
10.1103/physreva.78.012323

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We propose an efficient technique for creation of cluster states of trapped ions. The ions are addressed collectively, in only two interaction steps, by a pair of pulses tuned near the blue- and red-sideband transitions. The technique is very suitable for four-ion cluster states, for which the initial condition is the product state \ensuremath{\mid}0000⟩. Five- and six-ion cluster states require an initial preparation of one or two Bell states. Larger cluster states can be prepared by using four-ion cluster states as building blocks. The technique is insensitive to vibrational motion and hence to heating.
Three experimentally feasible schemes are proposed for generating multipartite entangled states of cold trapped ions.In the first scheme,a GHZ state can be simply synthesized in a single step. The second scheme is to prepare fully symmetric W states with two steps.The third scheme describes the sequential generation of linear cluster states.In addition,a method to create a larger cluster state was also presented by fuzing the end qubits of two smaller cluster states in order to decrease the distortion caused by decoherence,which can speed up the generation of large cluster states.The above schemes involve the collective interaction between multiple ions with the vibrational ground state and a large detuned laser. Compared with previous schemes,the above schemes have four advantages.Firstly,they do not require the vibrational mode of ions as memory.Secondly,they do not need to address the ions individually.Thirdly, they are free from the effects of phase fluctuation of laser field.Finally,they need less operations.