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.
, Negretti, A.
, Calarco, T.
and Taylor, J.
Fast and robust quantum computation with Wigner crystals of ions, Physical Review B, [online], https://doi.org/10.1103/PhysRevA.83.042319
(Accessed December 8, 2023)