Generation of Quantum-Dot Cluster States with a Superconducting Transmission Line Resonator

We propose an efficient method to generate cluster states in spatially separated double quantum dots with a superconducting transmission line resonator. When the detuning between the double-dot qubit transition frequency and the frequency of the full wave mode in the transmission line resonator satisfies some conditions, an Ising-like operator between an arbitrary two separated qubits can be achieved. Even including the main noise sources, it is shown that the high fidelity cluster states could be generated in this solid system in just one step.

Figure 1

Schematic diagram of a TLR and several double quantum-dot coupled systems. A detailed circuit representation of the TLR cavity (blue) can be found in Fig. 1 of Ref. 27. The double dots are biased with an external potential $\Delta$ and capacitive coupling $C_c$ with the TLR. The TLR is connected to the input/output wiring with a capacitor $C_e$.

Figure 2

The fidelity of $N$-qubit cluster states.