Epsilon-near-zero waveguides for quantum information applications: a theoretical approach for n-qubits

We study the cases of two-, three-, and N-qubits placed inside an epsilon-near-zero (ENZ) waveguide (WG) and present a formalism for the steady-state solution that applies for each case. For equal qubit parameters, we calculate the probability amplitudes of qubits to absorb a photon and make a transition to their excited states. Our results for the Nqubit case can pave the way for multi-qubit entanglement and quantum error correction schemes as well as superradiance studies.