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Deterministic Polarization Entanglement Purification of W State in Multiple Degrees of Freedom with Hyper-Entanglement

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Abstract

We present two deterministic entanglement purification protocols for distilling W state in polarization entanglement in a one-step fashion. The three parties can obtain a maximally entangled W polarization state with success probability 100 % from the hyper-entangled W state in multiple degrees of freedom (DOFs), and they do not require the quantum system to be entangled in polarization DOF but in spatial DOF. The former protocol is implemented with the passive linear optics, which is feasible with current experiments. The later one is implemented with cross-Kerr-nonlinearities, which can achieve higher efficiency of the entanglement transformation among different DOFs since it does not require the sophisticated single-photon detector. The present protocols are both suitable for polarization entanglement purification of multi-photon-entangled W state in quantum computation network because they need less operations and classical communications in the practical implementation.

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Authors and Affiliations

  1. School of Information Science, & Engineering, Central South University, Changsha, 410083, China

    Hongyan Kuang & Ying Guo

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  1. Hongyan Kuang
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  2. Ying Guo
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Correspondence to Hongyan Kuang.

Additional information

This work was supported by the National Natural Science Foundation of China (61272495, 61379153), the New Century Excellent Talents in University (NCET-11-0510), and partly by the Research Plan Projects of Science-Technology Department of Hunan Province (2012TZ2017) and the construct program of the key discipline in Hunan province.

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Kuang, H., Guo, Y. Deterministic Polarization Entanglement Purification of W State in Multiple Degrees of Freedom with Hyper-Entanglement. Int J Theor Phys 54, 1–9 (2015). https://doi.org/10.1007/s10773-014-2192-8

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  • DOI: https://doi.org/10.1007/s10773-014-2192-8

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