Strongly correlated photons play a crucial role in modern quantum technologies. Here, we investigate the probability of generating strongly correlated photons in a chain of $N$ qubits coupled to a one-dimensional waveguide. We found that disorder in the transition frequencies can induce photon antibunching and especially nearly perfect photon blockade events in the transmission and reflection outputs. As a comparison, in ordered chains, strongly correlated photons cannot be generated in the transmission output, and only weakly antibunched photons are found in the reflection output. The occurrence of nearly perfect photon blockade events stems from the disorder-induced nearly completely destructive interference of photon scattering paths. Our Letter highlights the impact of disorder on photon correlation generation and suggests that disorder can enhance the potential for achieving strongly correlated photons.

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• Collective effects in quantum optics
• Photon statistics
• Quantum optics
• Single photon sources
• Disordered systems
• Waveguides