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Impact of imperfect homodyne detection on measurements of vacuum states shot noise

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Abstract

The secret key rate of a continuous variables quantum key distribution system (CV-QKD) depends highly on the loss and excess noise of the quantum channel. A proper modelling of the quantum channel is essential to detect and prevent an eavesdropping attack. In CV-QKD, homodyne detection is widely used to measure the quadratures of the modulated optical signal. Nevertheless, the homodyne detector (HD) can be a source of noise for the CV-QKD system. In this paper, a HD is modelled considering intrinsic imperfections. Moreover, an improved method is proposed to obtain mean, variance and auto-covariance functions for estimation of the HD performance, considering ideal and unbalanced HD operation modes with ideal and non-ideal local oscillator pulse intensity functions being compared. The imbalance of the HD leads to non-zero mean output and a quadratic relation of voltage variance. Despite that, the rebalance of the system was attained with the cost of lowering the system voltage output intensity.

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Acknowledgements

This work is supported by Fundao para a Cincia e a Tecnologia (FCT) through national funds, by the European Regional Development Fund (FEDER), through the Competitiveness and Internationalization Operational Programme (COMPETE 2020), by Regional Operational Program of Lisbon, under the project QuantumMining reference: POCI-01-0145-FEDER-031826, by FCT/MCTES through national funds and when applicable co-funded EU funds under the project UIDB/50008/2020-UIDP/50008/2020 (action QuRUNNER and QUESTS), by FCT through the PhD Grant SFRH/BD/139867/2018, and by I3N project UIDB/50025/2020-UIDP/50025/2020, financed by national funds through the FCT/MEC. The authors also acknowledge support from the Programme New Talents in Quantum Technologies of the Gulbenkian Foundation (Portugal).

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Correspondence to Margarida Almeida.

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Almeida, M., Pereira, D., Facão, M. et al. Impact of imperfect homodyne detection on measurements of vacuum states shot noise. Opt Quant Electron 52, 503 (2020). https://doi.org/10.1007/s11082-020-02622-z

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