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Open Quantum Systems Decoherence

Relating the Glauber-Sudarshan, Wigner and Husimi quasiprobability distributions operationally through the quantum limited amplifier and attenuator channels

arXiv
Authors: Tomasz Linowski, Łukasz Rudnicki

Year

2023

Paper ID

52531

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

Abstract

The Glauber-Sudarshan, Wigner and Husimi quasiprobability distributions are indispensable tools in quantum optics. However, although mathematical relations between them are well established, not much is known about their operational connection. In this paper, we prove that a single composition of finite-strength quantum limited amplifier and attenuator channels, known for their noise-adding properties, turns the Glauber-Sudarshan distribution of any input operator into its Wigner distribution, and its Wigner distribution into its Husimi distribution. As we dissect, the considered process, which can be performed in a quantum optical laboratory with relative ease, may be interpreted as realizing a quantum-to-classical transition.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2023 reference point for readers tracking recent quantum research.
  • The Glauber-Sudarshan, Wigner and Husimi quasiprobability distributions are indispensable tools in quantum optics.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2312.08216 [2] arXiv https://arxiv.org/abs/2312.08216 [3] Publisher https://arxiv.org/abs/2312.08216

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