Effective cross-Kerr nonlinearity and robust phase gates with trapped ions

Details Effective cross-Kerr nonlinearity and robust phase gates with trapped ions Effective cross-Kerr nonlinearity and robust phase gates with trapped ions

2005-11-22

arxiv.org/abs/quant-ph/0511213v2

Phys. Rev. A 72, 064305 (2005)

Physics

Quantum Physics

Included discussion of faster gates (Lamb-Dicke regime), Corrected typos, and Added references

Scientific paper

10.1103/PhysRevA.72.064305

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.

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