High-efficient two-step entanglement purification using
hyperentanglement
- URL: http://arxiv.org/abs/2101.09006v2
- Date: Wed, 27 Jan 2021 00:25:14 GMT
- Title: High-efficient two-step entanglement purification using
hyperentanglement
- Authors: Lan Zhou, Yu-Bo Sheng
- Abstract summary: Entanglement purification is a powerful method to distill the high-quality entanglement from low-quality entanglement.
We propose an efficient two-step entanglement purification protocol (EPP) for the polarization entanglement.
Taking use of the residual entanglement, the parties may still distill higher-quality polarization entanglement.
- Score: 0.10878040851637998
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Entanglement purification is a powerful method to distill the high-quality
entanglement from low-quality entanglement. In the paper, we propose an
efficient two-step entanglement purification protocol (EPP) for the
polarization entanglement by using only one copy of two-photon hyperentangled
state in polarization, spatial-mode, and time-bin DOFs. We suppose that the
entanglement in all DOFs suffer from channel noise. In two purification steps,
the parties can reduce the bit-flip error and phase-flip error in polarization
DOF by consuming the imperfect entanglement in the spatial-mode and time-bin
DOFs, respectively. This EPP effectively reduces the consumption of
entanglement pairs and the experimental difficulty. Moreover, if consider the
practical photon transmission and detector efficiencies, our EPP has much
higher purification efficiency than previous recurrence EPPs. Meanwhile, when
one or two purification steps fail, the distilled mixed state may have residual
entanglement. Taking use of the residual entanglement, the parties may still
distill higher-quality polarization entanglement. Even if not, they can still
reuse the residual entanglement in the next purification round. The existence
of residual entanglement benefits for increasing the yield of the EPP. All the
above advantages make our EPP have potential application in future quantum
information processing.
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