  Kerr-cat qubits are a promising candidate for fault-tolerant quantum
computers owing to the biased nature of their errors. The $ZZ$ coupling between
the qubits can be utilized for a two-qubit entangling gate, but the residual
coupling called $ZZ$ crosstalk is detrimental to precise computing. In order to
resolve this problem, we propose a tunable $ZZ$-coupling scheme using two
transmon couplers. By setting the detunings of the two couplers at opposite
values, the residual $ZZ$ couplings via the two couplers cancel each other out.
We also apply our scheme to the $R_{zz}(\Theta)$ gate ($ZZ$ rotation with angle
$\Theta$), one of the two-qubit entangling gates. We numerically show that the
fidelity of the $R_{zz}(-\pi/2)$ gate is higher than 99.9% in a case of $16$-ns
gate time and without decoherence.
