Diagram of Cooper pairing interaction in BSC superconductors (top). An electron meeting the interface between a normal conductor and a superconductor produces a Cooper pair in the superconductor and a retroreflected electron hole in the normal conductor (bottom).
(Top) Cooper pairs of two electrons (blue protons of the conducting metal lattice). (Bottom) Cooper pair, two electrons each with half-integer spin, in a superconductor. The two opposite half-integer spins giving a net integer spin. Cooper pairs thus act like a single boson (which has an integer spin) and therefore do not obey the Pauli Exclusion Principal.
(Top) Tem5psu CC BY-SA 4.0. (Bottom) Ilmari Karonen Public domain

Same quantum state means the electrons have a wide range of energies in the material. In the superconducting state, the electron pairs act as a single bosonic particle — they do not obey the Pauli Exclusion Principle and can all exist in the same, very low, energy state.

This enables the Cooper pairs to interact with the vibrations (phonons) of the crystal lattice in such a way that they can pass through the lattice without giving or taking energy from the lattice atoms, which reduces the resistance to zero.

Having no resistance in the windings of the electromagnets enables the flow of the large currents necessary to create very strong magnetic fields, needed to maintain the radius of curvature of particles moving close to the speed of light.