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In particular, we believe that the improvements in the violation of Mermin’s inequalities are due to the availability of cNOTs among qubits 1,0 and 3,4, which were not present at the time Alsina and Latorre obtained their results. This interpretation is consistent with the fact that gate errors, readout errors, and decoherence and relaxation times were similar in the present work and in [5], and with the fact that no improvement has been obtained for the 3-qubit case.
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