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Fast and robust quantum computation with Wigner crystals of ions



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


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.
Physical Review B


Wagner crystal, Ion quantum computing


Baltrusch, J. , Negretti, A. , Calarco, T. and Taylor, J. (2011), Fast and robust quantum computation with Wigner crystals of ions, Physical Review B, [online], (Accessed July 24, 2024)


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Created April 14, 2011, Updated October 12, 2021