Hyperentanglement purification and concentration assisted by diamond NV centers inside photonic crystal cavities
arXiv:1309.0168 · doi:10.1088/1612-2011/10/11/115201
Abstract
Hyperentanglement has attracted much attention for its fascinating applications in quantum communication. However, it is impossible to purify a pair of photon systems in a mixed hyperentangled state with errors in two degrees of freedom using linear optical elements only, far different from all the existing entanglement purification protocols in a degree of freedom (DOF) for quantum systems. Here, we investigate the possibility of purifying a spatial-polarization mixed hyperentangled Bell state with the errors in both the spatial mode and polarization DOFs, resorting to the nonlinear optics of a nitrogen-vacancy (NV) center in a diamond embedded in a photonic crystal cavity coupled to a waveguide. We present the first hyperentanglement purification protocol for purifying a pair of two-photon systems in a mixed hyperentangled Bell state with the errors in two DOFs. Besides, we propose an efficient hyperentanglement concentration protocol for a partially hyperentangled Bell pure state, which has the maximal success probability in principle. These two protocols are useful in long-distance quantum communication with hyperentanglement
8 pages, 5 figures, two columns
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- Self-assisted complete maximally hyperentangled state analysis via the cross-Kerr nonlinearity
- Hyper-parallel Toffoli gate on three-photon system with two degrees of freedom assisted by single-sided optical microcavities
- Faithful entanglement purification for high-capacity quantum communication with two-photon four-qubit systems
- Complete hyperentangled Bell state analysis for polarization and time-bin hyperentanglement
- Entanglement distillation for quantum communication network with atomic-ensemble memories
- Self-error-rejecting photonic qubit transmission in polarization-spatial modes with linear optical elements
- Entanglement concentration of microwave photons based on Kerr effect in circuit QED
- Hyper-hybrid entanglement, indistinguishability, and two-particle entanglement swapping
- Efficient generation of NOON states on two microwave-photon resonators
- Entanglement purification of nonlocal quantum-dot-confined electrons assisted by double-sided optical microcavities
- Complete hyperentangled Greenberger-Horne-Zeilinger state analysis for polarization and time-bin hyperentanglement