Devices and/or computer-implemented methods to facilitate a cross-resonance operation in a dispersive regime of a qubit frequency space are provided. According to an embodiment, a device can comprise a first qubit having a first operating frequency and a first anharmonicity. The device can further comprise a second qubit that couples to the first qubit to perform a cross-resonance operation. The second qubit having a second operating frequency and a second anharmonicity. A detuning between the first operating frequency and the second operating frequency is larger than the first anharmonicity and the second anharmonicity.