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Complete positive operator-valued measure description of multichannel quantum electro-optic sampling with monochromatic field modes

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2022

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Physical Review A. American Physical Society (APS). 2022, 106(4), 043713. ISSN 2469-9926. eISSN 2469-9934. Available under: doi: 10.1103/PhysRevA.106.043713

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We propose a multichannel version of quantum electro-optic sampling involving monochromatic field modes. It allows for multiple simultaneous measurements of arbitrarily many ˆ X and ˆ Y field quadratures for a single quantum-state copy, while independently tuning the interaction strengths at each channel. In contrast to standard electro-optic sampling, the sampled midinfrared (MIR) mode undergoes a nonlinear interaction with multiple near-infrared pump beams. We present a complete positive operator-valued measure description for quantum states in the MIR mode. The probability distribution of the electro-optic signal outcomes is shown to be related to an s-parametrized phase-space quasiprobability distribution of the indirectly measured MIR state, with the parameter s depending solely on the quantities characterizing the nonlinear interaction. Furthermore, we show that the quasiprobability distributions for the sampled and postmeasurement states are related to each other through a renormalization and a change in the parametrization. This result is then used to demonstrate that two consecutive measurements of both ˆ X and ˆ Y quadratures can outperform eight-port homodyne detection.

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ISO 690HUBENSCHMID, Emanuel, Thiago L.M. GUEDES, Guido BURKARD, 2022. Complete positive operator-valued measure description of multichannel quantum electro-optic sampling with monochromatic field modes. In: Physical Review A. American Physical Society (APS). 2022, 106(4), 043713. ISSN 2469-9926. eISSN 2469-9934. Available under: doi: 10.1103/PhysRevA.106.043713
BibTex
@article{Hubenschmid2022Compl-59165,
  year={2022},
  doi={10.1103/PhysRevA.106.043713},
  title={Complete positive operator-valued measure description of multichannel quantum electro-optic sampling with monochromatic field modes},
  number={4},
  volume={106},
  issn={2469-9926},
  journal={Physical Review A},
  author={Hubenschmid, Emanuel and Guedes, Thiago L.M. and Burkard, Guido},
  note={Article Number: 043713}
}
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