Effective cross-Kerr nonlinearity and robust phase gates with trapped ions
arXiv:quant-ph/0511213 · doi:10.1103/PhysRevA.72.064305
Abstract
We derive an effective Hamiltonian that describes a cross-Kerr type interaction in a system involving a two-level trapped ion coupled to the quantized field inside a cavity. We assume a large detuning between the ion and field (dispersive limit) and this results in an interaction Hamiltonian involving the product of the (bosonic) ionic vibrational motion and field number operators. We also demonstrate the feasibility of operation of a phase gate based on our hamiltonian. The gate is insensitive to spontaneous emission, an important feature for the practical implementation of quantum computing.
Included discussion of faster gates (Lamb-Dicke regime), Corrected typos, and Added references
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- Entanglement in the dispersive interaction of trapped ions with a quantized field
- Engineering phonon-photon interactions with a driven trapped ion in a cavity
- Quasiprobability currents on the sphere
- Low error measurement-free phase gates for qubus computation
- Transmission losses in optical qubits for controlled teleportation
- Unconditional Bell-type state generation for spatially separate trapped ions
- Complete conversion between one and two photons in nonlinear waveguides with tailored dispersion