Quantum computation using artificial-atoms, such as novel superconducting circuits,
can be sensitively controlled by external electromagnetic fields. These fields and
the self-fields attributable to the coupled artificial-atoms influence the amount of
quantum correlation in the system. However, control elements that can operate
without complete destruction of the entanglement of the quantum-bits are difficult
to engineer. Here we investigate the possibility of using closely-spaced-linear
arrays of metallic-elliptical discs as whispering gallery waveguides to control
artificial-atoms. The discs confine and guide radiation through the array with small
notches etched into their sides that act as scatterers. We focus on
π-ring artificial-atoms, which can generate their own
spontaneous fluxes. We find that the micro-discs of the waveguides can be excited by
terahertz frequency fields to exhibit whispering-modes and that a quantum-phase-gate
composed of π-rings can be operated under their influence.
Furthermore, we gauge the level of entanglement through the concurrence measure and
show that under certain magnetic conditions a series of entanglement sudden-deaths
and revivals occur between the two qubits. This is important for understanding the
stability and life-time of qubit operations using, for example, a phase gate in a
hybrid of quantum technologies composed of control elements and
artificial-atoms.