Abstract
Hyperentanglement, the entanglement in several degrees of freedom (DOFs) of a quantum system, has attracted much attention as it can be used to increase both the channel capacity of quantum communication and its security largely. Here, we present the first scheme to completely distinguish the hyperentangled Bell states of two-photon systems in three DOFs with the help of cross-Kerr nonlinearity without destruction, including two longitudinal momentum DOFs and the polarization DOF. We use cross-Kerr nonlinearity to construct quantum nondemolition detectors which can be used to make a parity-check measurement and analyze Bell states of two-photon systems in different DOFs. Our complete scheme for two-photon six-qubit hyperentangled Bell-state analysis may be useful for the practical applications in quantum information, especially in long-distance high-capacity quantum communication.
Highlights
With hyperdense coding on two-photon systems entangled in three degree of freedom (DOF) simultaneously as an example, we show the principle of the applications of our hyperentangled-Bell-state analysis (HBSA) protocol in detail
In our six-qubit HBSA scheme, we exploit the cross-Kerr nonlinearity to construct the QNDs to check the parity of the two photons in the three DOFs
In 2010, the research results in polarization which is used to DwhOiFchoifstuhseetdwtoo-pdhisottinongusiisxh-qtuhbeietvseynst-epmariAtyBs. tPaBteSsreφp±rePsefnrtosma the transmit the horizontal (H) polarization photon and reflect the vertical (V) polarization photon, respectively
Summary
The 16 orthogonal hyperentangled Bell states of two-photon systems in two DOFs can be distinguished completely if nonlinear optics is introduced. In 2010, Sheng et al.[37] gave the first scheme for the complete hyperentangled-Bell-state analysis (HBSA) for quantum communication with the help of cross-Kerr nonlinearity.
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