Adiabatic quantum simulation with a segmented ion trap: Application to long-distance entanglement in quantum spin systems

S. Zippilli, M. Johanning, S. M. Giampaolo, Ch. Wunderlich, and F. Illuminati
Phys. Rev. A 89, 042308 – Published 10 April 2014

Abstract

We investigate theoretically systems of ions in segmented linear Paul traps for the quantum simulation of quantum spin models with tunable interactions. The scheme is entirely general and can be applied to the realization of arbitrary spin-spin interactions. As a specific application we discuss in detail the quantum simulation of models that exhibit long-distance entanglement in the ground state. We show how tailoring of the axial trapping potential allows for generating spin-spin coupling patterns that are suitable to create long-distance entanglement. We discuss how suitable sequences of microwave pulses can implement Trotter expansions and realize various kinds of effective spin-spin interactions. The corresponding Hamiltonians can be varied on adjustable time scales, thereby allowing the controlled adiabatic preparation of their ground states.

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  • Received 31 January 2014

DOI:https://doi.org/10.1103/PhysRevA.89.042308

©2014 American Physical Society

Authors & Affiliations

S. Zippilli1, M. Johanning2, S. M. Giampaolo1,3, Ch. Wunderlich2,*, and F. Illuminati1,4,5,†

  • 1Dipartimento di Ingegneria Industriale, Università degli Studi di Salerno, Via Giovanni Paolo II 132, I-84084 Fisciano (SA), Italy
  • 2Fachbereich Physik, Naturwissenschaftlich-Technische Fakultät, Universität Siegen, 57068 Siegen, Germany
  • 3University of Vienna, Faculty of Physics, Boltzmanngasse 5, 1090 Vienna, Austria
  • 4INFN, Sezione di Napoli, Gruppo Collegato di Salerno, I-84084 Fisciano (SA), Italy
  • 5CNISM Unità di Salerno, I-84084 Fisciano (SA), Italy

  • *Corresponding author: christof.wunderlich@uni-siegen.de
  • Corresponding author: illuminati@sa.infn.it

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Issue

Vol. 89, Iss. 4 — April 2014

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