Hyperconcentration for multipartite entanglement via linear optics

Abstract

We present a hyperconcentration scheme for nonlocal $N$-photon hyperentangled Greenberger-Horne-Zeilinger states. The maximally hyperentangled state, in which $N$ particles are entangled simultaneously in the polarization and the spatial mode, can be obtained with a certain probability from two partially hyperentangled states. The hyperconcentration scheme is based on one polarization parity check measurement, one spatial mode parity check measurement and N-2 single-photon two-qubit measurements. The concentration only requires linear optical elements, which makes it feasible and practical with current technology.

11 pages, 7 figures

References in corpus (6)

• Beating the channel capacity limit for linear photonic superdense coding
• One-step deterministic polarization entanglement purification using spatial entanglement
• Nonlocal entanglement concentration scheme for partially entangled multipartite systems with nonlinear optics
• Complete and Deterministic discrimination of polarization Bell state assisted by momentum entanglement
• One-step error correction for multipartite polarization entanglement
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Cited by in corpus (9)

• Generation and complete nondestructive analysis of hyperentanglement assisted by nitrogen-vacancy centers in resonators
• Efficient hyperconcentration of nonlocal multipartite entanglement via the cross-Kerr nonlinearity
• Self-assisted complete maximally hyperentangled state analysis via the cross-Kerr nonlinearity
• Complete hyperentangled Bell state analysis for polarization and time-bin hyperentanglement
• Entanglement concentration of microwave photons based on Kerr effect in circuit QED
• 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
• Extracting perfect GHZ states from imperfect weighted graph states via entanglement concentration
• Complete nondestructive analysis of two-photon six-qubit hyperentangled Bell states assisted by cross-Kerr nonlinearity