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We theoretically investigate the robustness of cluster states in charge qubitsystem based on quantum dot (QD) and double quantum point contact (DQPC). Trapstate is modeled by an island structure in DQPC and represents a dynamicalfluctuation. We found that the dynamical fluctuations affect the cluster statesmore than static fluctuation caused by QD size fluctuation.

Robustness of Charge-Qubit Cluster States to Double Quantum Point Contact Measurement