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Phys. Rev. Lett. 98, 023003 (2007) [4 pages]

Trapped Ion Chain as a Neural Network: Error Resistant Quantum Computation

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Marisa Pons1, Veronica Ahufinger2, Christof Wunderlich3, Anna Sanpera4, Sibylle Braungardt5, Aditi Sen(De)5, Ujjwal Sen5, and Maciej Lewenstein6
1Departamento de Física Aplicada I, Universidad del País Vasco, 20600 Eibar, Spain
2ICREA and Grup d’Òptica, Departament de Física, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain
3Fachbereich Physik, Universität Siegen, 57068 Siegen, Germany
4ICREA and Grup de Física Teòrica, Departament de Física, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain
5ICFO-Institut de Ciències Fotòniques, 08860 Castelldefels (Barcelona), Spain
6ICREA and ICFO-Institut de Ciències Fotòniques, 08860 Castelldefels (Barcelona), Spain

Received 23 December 2005; published 9 January 2007

We demonstrate the possibility of realizing a neural network in a chain of trapped ions with induced long range interactions. Such models permit one to store information distributed over the whole system. The storage capacity of such a network, which depends on the phonon spectrum of the system, can be controlled by changing the external trapping potential. We analyze the implementation of error resistant universal quantum information processing in such systems.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.023003
DOI:
10.1103/PhysRevLett.98.023003
PACS:
03.67.Pp, 42.50.Vk, 87.18.Sn