  For building a scalable quantum processor with superconducting qubits, ZZ
interaction is of great concern because its residual has a crucial impact to
two-qubit gate fidelity. Two-qubit gates with fidelity meeting the criterion of
fault-tolerant quantum computationhave been demonstrated using ZZ interaction.
However, as the performance of quantum processors improves, the residual
static-ZZ can become a performance-limiting factor for quantum gate operation
and quantum error correction. Here, we introduce a superconducting architecture
using qubits with opposite-sign anharmonicity, a transmon qubit and a C-shunt
flux qubit, to address this issue. We theoretically demonstrate that by
coupling the two types of qubits, the high-contrast ZZ interaction can be
realized. Thus, we can control the interaction with a high on/off ratio to
implement two-qubit CZ gates, or suppress it during two-qubit gate operation
using XY interaction (e.g., an iSWAP gate). The proposed architecture can also
be scaled up to multi-qubit cases. In a fixed coupled system, ZZ crosstalk
related to neighboring spectator qubits could also be heavily suppressed.
