  We introduce a new scalable cavity quantum electrodynamics platform which can
be used for quantum computing. This system is composed of coupled photonic
crystal (PC) cavities which their modes lie on a Dirac cone in the whole super
crystal band structure. Quantum information is stored in quantum dots that are
positioned inside the cavities. We show if there is just one quantum dot in the
system, energy as photon is exchanged between the quantum dot and the Dirac
modes sinusoidally. Meanwhile the quantum dot becomes entangled with Dirac
modes. If we insert more quantum dots into the system, they also become
entangled with each other.
