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Transformation of Photon-Added Coherent States Via Conditional Measurements on a Beam Splitter

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Abstract

We propose a new non-classical state via the photon-added coherent state based on a beam splitter with a zero-photon detector. An interesting finding is that new state and photon-added coherent state have similar expressions, but the amplitude and normalization coefficient of new state have been changed by the transmittance of beam splitter. The relationship between the output quantum state, the input state and the optical beam splitter is also discussed via detection efficiency, fidelity, signal gain,SNR, squeezing effect and sub-Poisson distribution.

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Acknowledgements

This work is supported by the Natural Science Foundation of the Anhui Higher Education Institutions of China (Grant No. KJ2019A0688).

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  1. School of Electronic Engineering, Huainan Normal University, Huainan, 232001, People’s Republic of China

    Gang Ren

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  1. Gang Ren
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Correspondence to Gang Ren.

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Ren, G. Transformation of Photon-Added Coherent States Via Conditional Measurements on a Beam Splitter. Int J Theor Phys 60, 2333–2344 (2021). https://doi.org/10.1007/s10773-021-04859-0

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