Abstract
An efficient scheme is proposed in this study to prepare four symmetric hyperentangled cluster states in the polarization degrees of freedom (DOF) and spatial DOF with a two-photon system. This system consists of two nitrogen-vacancy (NV) centers which are coupled to two microtoroidal resonators. The two-photon polarization-spatial hyperentangled cluster states can be generated with our system by virtue of the input and output process. Compared with previous works, our quantum circuit for preparing the hyperentangled cluster states is simple and economic. Moreover, our scheme works deterministically and does not need any extra qubits, making it applicable to existing technologies. Our calculations show that our scheme has high fidelity with current technology, which can help hyperentangled cluster states to play a very useful role in quantum communication networks with long distances and high capacity.
Highlights
Hyperentanglement is defined as the simultaneous entanglement in multiple degrees of freedom (DOF) and has been studied extensively in quantum information processing (QIP)
In 2011, a bidirectional and direct quantum communication protocol was proposed by using the hyperentanglement in the spatial DOF and the polarization DOF of the photon pairs; the hyperentanglement can be produced with a beta barium borate crystal [6]
[7] presented a scheme for quantum superdense coding with hyperentanglement, the important device in the scheme is the hyperentangled Bell-state analyzer in both polarization and frequency degrees of freedom
Summary
Hyperentanglement is defined as the simultaneous entanglement in multiple degrees of freedom (DOF) and has been studied extensively in quantum information processing (QIP). [7] presented a scheme for quantum superdense coding with hyperentanglement, the important device in the scheme is the hyperentangled Bell-state analyzer in both polarization and frequency degrees of freedom. In. 2015, Perumangatt et al [10] presented a scheme to generate three-particle hyperentanglement utilizing polarization and orbital momentum of photons; this paper provides a possibility of a new entangled state and its application in a new teleportation method. Liu and Zhang [11] presented two schemes to deterministically generate as well as nondestructively analyze the hyperentangled Bell states in polarization DOF and spatial DOF. People have made many studies combining NV centers with solid-state cavity quantum electrodynamics (QED) systems [11,24,25,26,27,28,29].
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