  We report on the preparation of a large quantum register of 5612 qubits, with
the unprecedented high global fidelity of $F\simeq 0.9956$. This was achieved
by applying an improved cooperative quantum information erasure (CQIE) protocol
[Buffoni, L. and Campisi, M., Quantum 7, 961 (2023)] to a programmable network
of superconducting qubits featuring a high connectivity. At variance with the
standard method based on the individual reset of each qubit in parallel, here
the quantum register is treated as a whole, thus avoiding the well-known
orthogonality catastrophe wehereby even an extremely high individual reset
fidelity $f$ results in vanishing global fidelities $F=f^N$ with growing number
$N$ of qubits.
