Fast and robust quantum computation with Wigner crystals of ions

Published

April 15, 2011

Author(s)

J D. Baltrusch, A Negretti, T Calarco, Jacob Taylor

Abstract

We present a detailed analysis of the modulated-carrier quantum phase gate implemented with Wigner crystals of ions confined in Penning traps. We elaborate on a recent scheme, proposed by two of us, to engineer two-body interactions between ions in such crystals. We analyze for the first time the situation in which the cyclotron (ωc) and the crystal rotation (ωr ) frequencies do not fulfill the condition ωc = 2ωr. It is shown that even in the presence of the magnetic field in the rotating frame, and therefore of the minimal coupling term, the many- body Hamiltonian describing small oscillations from the ion equilibrium positions can be recast in canonical form. As a consequence, we are able to demonstrate that fast and robust two- qubit gates are achievable within the current experimental limitations. Moreover, we provide the expressions of the state-dependent dipole forces needed to realize the investigated quantum computing scheme.

Citation

Physical Review B

Pub Type

Journals

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DOI Link

Keywords

Wagner crystal, Ion quantum computing

Citation

Baltrusch, J. , Negretti, A. , Calarco, T. and Taylor, J. (2011), Fast and robust quantum computation with Wigner crystals of ions, Physical Review B, [online], https://doi.org/10.1103/PhysRevA.83.042319 (Accessed June 26, 2024)