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We show how to induce pairing of Cooper pairs (and, thus, $4e$superconductivity) as a result of local embedding of a quantum impurity in aJosephson network fabricable with conventional junctions. We find that aboundary double Sine-Gordon model provides an accurate description of the dcJosephson current patterns, as well as of the stable phases accessible to thenetwork. We point out that tunneling of pairs of Cooper pairs is robust againstquantum fluctuations, as a consequence of the time reversal invariance, arisingwhen the central region of the network is pierced by a dimensionless magneticflux $\phi = \pi$. We find that, for $\phi = \pi$, a stable attractive finitecoupling fixed point emerges and point out its relevance for engineering a twolevel quantum system with enhanced coherence.

Pairing of Cooper pairs in a Josephson junction network containing an impurity