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Open Quantum Systems Decoherence

A measure of the non-Gaussian character of a quantum state

arXiv
Authors: Marco G. Genoni, Matteo G. A. Paris, Konrad Banaszek

Year

2007

Paper ID

50651

Status

Preprint

Abstract Read

~2 min

Abstract Words

108

Citations

N/A

Abstract

We address the issue of quantifying the non-Gaussian character of a bosonic quantum state and introduce a non-Gaussianity measure based on the Hilbert-Schmidt distance between the state under examination and a reference Gaussian state. We analyze in details the properties of the proposed measure and exploit it to evaluate the non-Gaussianity of some relevant single- and multi-mode quantum states. The evolution of non-Gaussianity is also analyzed for quantum states undergoing the processes of Gaussification by loss and de-Gaussification by photon-subtraction. The suggested measure is easily computable for any state of a bosonic system and allows to define a corresponding measure for the non-Gaussian character of a quantum operation.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • We address the issue of quantifying the non-Gaussian character of a bosonic quantum state and introduce a non-Gaussianity measure based on the Hilbert-Schmidt distance between...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0704.0639 [2] arXiv https://arxiv.org/abs/0704.0639 [3] Publisher https://arxiv.org/abs/0704.0639

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