Abstract
We propose a scheme to construct the controlled-phase (c-phase) gate on distant transmon qutrits hosted in different resonators inter-coupled by a connected transmon qutrit. Different from previous works for entanglement generation and information transfer on two distant qubits in a dispersive regime in the similar systems, our gate is constructed in the resonant regime with one step. The numerical simulation shows that the fidelity of our c-phase gate is 99.5% within 86.3 ns. As an interesting application of our c-phase gate, we propose an effective scheme to complete a conventional square lattice of two-dimensional surface code layout for fault-tolerant quantum computing on the distant transmon qutrits. The four-step coupling between the nearest distant transmon qutrits, small coupling strengths of the distant transmon qutrits, and the non-population on the connection transmon qutrit can reduce the interactions among different parts of the layout effectively, which makes the layout be integrated with a large scale in an easier way.
Highlights
Capacitance[65,66,67,68,69]
We propose a scheme to complete the c-phase gate on two distant transmon qutrits (DTQs) hosted in different resonators interconnected by a connection transmon qutrit (CTQ)
We have proposed a scheme to construct the c-phase gate on two distant transmon qutrits (q1 and q2) which are coupled to different high-quality 1D superconducting resonators intercoupled by a in the resonant regime of ω1g,e
Summary
Capacitance[65,66,67,68,69]. The basic tasks of quantum computation in circuit QED have been demonstrated in experiment, such as the c-phase gate[52,70,71,72] and the controlled-controlled-phase gate[53,54] on transmon qubits in the processor by integrating several superconducting qubits coupled to a 1D superconducting resonator, the generation of the entangled states on transmon qubits[73] or two resonator qudits[60], and the measurement on superconducting qubits[69,74] or the microwave photons in a superconducting resonator[75,76,77,78]. The small coupling strength of DTQs can reduce the interactions between a qutrit and the nearest resonators.
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