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Two-step measurement of the concurrence for hyperentangled state

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Abstract

We describe an efficient way of measuring the concurrence for the hyperentanglement. In this protocol, the hyperentangled state is encoded in both the polarization and the momentum degrees of freedom. We show that measurement of the concurrences of both polarization and momentum entanglements can be conversed into the measurement of the total probability of picking up the odd-parity state and can be measured directly. This protocol requires the weak cross-Kerr nonlinearity to construct the quantum nondemolition measurement and does not require the sophisticated controlled-not gate operation. It is feasible in future experimental technology.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China under Grant Nos. 11474168 and 61401222, the Qing Lan Project in Jiangsu Province, the University Natural Science Research Project of Jiangsu Province of China (Grant No. 13KJB140010), and a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.

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Authors and Affiliations

  1. Institute of Signal Processing Transmission, Nanjing University of Posts and Telecommunications, Nanjing, 210003, China

    Yu-Bo Sheng, Rui Guo & Jun Pan

  2. Key Lab of Broadband Wireless Communication and Sensor Network Technology, Nanjing University of Posts and Telecommunications, Ministry of Education, Nanjing, 210003, China

    Yu-Bo Sheng, Rui Guo & Jun Pan

  3. College of Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing, 210003, China

    Lan Zhou & Xing-Fu Wang

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  1. Yu-Bo Sheng
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  2. Rui Guo
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  4. Lan Zhou
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  5. Xing-Fu Wang
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Correspondence to Yu-Bo Sheng.

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Sheng, YB., Guo, R., Pan, J. et al. Two-step measurement of the concurrence for hyperentangled state. Quantum Inf Process 14, 963–978 (2015). https://doi.org/10.1007/s11128-015-0916-1

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