Abstract
We design an optical scheme to generate hyperentanglement correlated with degrees of freedom (DOFs) via quantum dots (QDs), weak cross-Kerr nonlinearities (XKNLs), and linearly optical apparatuses (including time-bin encoders). For generating hyperentanglement having its own correlations for two DOFs (polarization and time-bin) on two photons, we employ the effects of optical nonlinearities using a QD (photon-electron), a parity gate (XKNLs), and time-bin encodings (linear optics). In our scheme, the first nonlinear multi-qubit gate utilizes the interactions between photons and an electron of QD confined in a single-sided cavity, and the parity gate (second gate) uses weak XKNLs, quantum bus, and photon-number-resolving measurement to entangle the polarizations of two photons. Finally, for efficiency in generating hyperentanglement and for the experimental implementation of this scheme, we discuss how the QD-cavity system can be performed reliably, and also discuss analysis of the immunity of the parity gate (XKNLs) against the decoherence effect.
Highlights
For the feasibility and efficiency of quantum information processing, schemes that could realize quantum information processing should be designed using physical resources and experimental implementation
We propose an optical scheme to generate hyperentanglement having its own correlations for two DOFs on two photons using the quantum dots (QDs)-cavity system, XKNLs, and linearly optical apparatuses
Nonlinear parts: (1) The QD-cavity system is used in the interaction between photons and an excess electron of QD confined in a single-sided cavity[20,33,34,35,36,37,38,39,40], and (2) The parity gate uses XKNLs, quantum bus beams, and photon-number-resolving measurement[60,67,72,73,74]
Summary
Spin 1 inside the QD-cavity system, and the quantum bus beam on path b through the photon-number-resolving measurement. If the strong coherent state is utilized for efficient and reliable performance (high fidelity and the robustness from photon loss and dephasing induced by the decoherence effect) of the parity gate, this should decrease the magnitude of the conditional phase-shift by XKNL, as described in Fig. 7 (the left table). We can improve the experimental feasibility of implementation of the parity gate because the natural XKNLs are extremely weak[81] This gate can be operated with reliable performance and the immunity from the decoherence effect for the generation of hyperentanglement in our scheme because this analysis of the parity gate using XKNLs, quantum bus beams, and the photon-number-resolving measurement
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