Self-assisted complete maximally hyperentangled state analysis via the cross-Kerr nonlinearity
arXiv:1601.02029 · doi:10.1103/PhysRevA.93.022302
Abstract
We present two complete maximally hyperentangled state analysis protocols for photons entangled in the polarization and spatial-mode degrees of freedom. The first protocol is a hyperentangled Bell state analysis scheme for two photons and the second is a hyperentangled Greenberger-Horne- Zeilinger (GHZ) state analysis scheme for three photons. In each scheme, a set of mutually orthogonal hyperentangled basis states are completely and deterministically discriminated with the aid of cross-Kerr nonlinearities and linear optics. We also generalize the schemes to unambiguously analyze the N-photon hyperentangled GHZ state. Compared with previous protocols, our schemes greatly simplify the discrimination process and reduce the requirements on nonlinearities by using the measured spatial-mode state to assist in the analysis of the polarization state. These advantages make our schemes useful for practical applications in long-distance high capacity quantum communication.
8 pages, 3 figures
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- Self-error-rejecting photonic qubit transmission in polarization-spatial modes with linear optical elements
- Error-heralded generation and self-assisted complete analysis of two-photon hyperentangled Bell states assisted by single-sided quantum-dot-cavity systems
- Remote preparation for single-photon state in two degrees of freedom with hyper-entangled states
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- Complete analysis of hyperentangled Bell state in three degrees of freedom using Kerr effect and self-assisted mechanism