Abstract

The amplification protocol of single-photon is an effective method to overcome the photon loss in the practical quantum communication. Here, we propose an entanglement-based single-photon amplification to nearly eliminate the vacuum state resulting from the photon loss. By the quantum nondemolition detection with cross-Kerr nonlinearity, our proposal has more higher fidelity of the polarization feature. And the total success probability of the amplification can be improved with bigger nonlinearity. This absolute amplification of single-photon is of great value to lengthen the quantum communication distance.

Highlights

  • Photons are the best carriers for flying qubits, and single photon transmission is crucial in long-range quantum information, such as qubit transmission [1], quantum key distribution [2]-[7], quantum secure direct communication [8]-[11], multi-party quantum key agreement [12], distributed quantum machine learning [13], [14], and so on

  • Chen et al put forward a single-photonassisted noiseless linear amplification protocol to protect the single-photon entanglement in polarization-time-bin qudit state to overcome the photon transmission loss [24]

  • quantum nondemolition detection (QND) based on cross-Kerr nonlinearity is introduced to improve the entanglement-based amplification of single-photon with the polarization feature, by converting the bunching items to successful amplification

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Summary

INTRODUCTION

Photons are the best carriers for flying qubits, and single photon transmission is crucial in long-range quantum information, such as qubit transmission [1], quantum key distribution [2]-[7], quantum secure direct communication [8]-[11], multi-party quantum key agreement [12], distributed quantum machine learning [13], [14], and so on. Bruno et al demonstrated the postselection free heralded qubit amplification for time-bin qubits and single photon states[21] They showed that the gain, fidelity and the performance of the amplifier were a function of the loss. Chen et al put forward a single-photonassisted noiseless linear amplification protocol to protect the single-photon entanglement in polarization-time-bin qudit state to overcome the photon transmission loss [24]. The above amplification proposals use single photons as auxiliary, and entangled photon pairs can be used to improve the success probability and the fidelity of the amplification. QND based on cross-Kerr nonlinearity is introduced to improve the entanglement-based amplification of single-photon with the polarization feature, by converting the bunching items to successful amplification.

QND WITH CROSS-KERR NONLINEARITY
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DISCUSSION AND CONCLUSION
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