Hyperentanglement purification for two-photon six-qubit quantum systems
Abstract
Recently, two-photon six-qubit hyperentangled states were produced in experiment and they can improve the channel capacity of quantum communication largely. Here we present a scheme for the hyperentanglement purification of nonlocal two-photon systems in three degrees of freedom (DOFs), including the polarization, the first-longitudinal-momentum, and the second longitudinal momentum DOFs. Our hyperentanglement purification protocol (hyper-EPP) is constructed with two steps resorting to parity-check quantum nondemolition measurement on the three DOFs and SWAP gates, respectively. With these two steps, the bit-flip errors in the three DOFs can be corrected efficiently. Also, we show that using SWAP gates is a universal method for hyper-EPP in the polarization DOF and multiple longitudinal momentum DOFs. The implementation of our hyper-EPP is assisted by nitrogen-vacancy centers in optical microcavities, which could be achieved with current techniques. It is useful for long-distance high-capacity quantum communication with two-photon six-qubit hyperentanglement.
Keywords
Cite
@article{arxiv.1607.00082,
title = {Hyperentanglement purification for two-photon six-qubit quantum systems},
author = {Guan-Yu Wang and Qian Liu and Fu-Guo Deng},
journal= {arXiv preprint arXiv:1607.00082},
year = {2016}
}
Comments
19 pages, 12 figures. The first scheme for the hyperentanglement purification of nonlocal two-photon systems in three degrees of freedom