Abstract
We propose a way for analyzing the cluster states of four-qubit systems completely, resorting to the interaction between the photon and the electron spin in a quantum dot embedded inside a one-side optical microcavity. With parity-check quantum nondemolition detectors based on nonlinearity, single-qubit operations, single-photon detectors, and linear optical elements, the 16 orthogonal cluster states for four-qubit systems can be distinguished completely. We discuss not only the analysis for the cluster states of four-photon systems, but also for those of electron spin systems. Our calculation shows that the fidelity of the four-qubit cluster-state analysis is high when the side leakage rate of the microcavity is low.
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