  Preservation of the entangled state of a quantum system is relevant in
quantum applications. However, the preservation of entangled states is
constrained due to the energy dissipation of the quantum system arising from
the environment. As a result, the design of the environment seen by quantum
bits is relevant due to its relation to the final state of the quantum system.
This work presents the concurrence measure of entanglement between two qubits
coupled to a rolled-up epsilon-near-zero (ENZ) waveguide reservoir consisting
of an alternating layer of metal and dielectric. Our numerical calculations
demonstrate that the proposed rolled-up ENZ waveguide reservoir can preserve
the entanglement of two qubits at the cutoff wavelength of the reservoir via
enhanced energy transfer. This proposed rolled-up ENZ waveguide can serve as a
unique reservoir for various quantum technologies such as quantum
communication, quantum information processing, and single-photon generation. As
a proof of concept, we also demonstrate that this novel structure can be
fabricated using cost-effective self-rolling techniques.
