  We study theoretically the second-order correlation function $g^{(2)}(t)$ for
photons transmitted through a periodic Bragg-spaced array of superconducting
qubits, coupled to a waveguide. We demonstrate that photon bunching and
anti-bunching persist much longer than both radiative and non-radiative
lifetimes of a single qubit. The photon-photon correlations become immune to
non-radiative dissipation due to the Borrmann effect, that is a strongly
non-Markovian collective feature of light-qubit coupling inherent to the Bragg
regime. This persistence of quantum correlations opens new avenues for
enhancing the performance of setups of waveguide quantum electrodynamics.
