Quantum mode filtering of non-Gaussian states for teleportation-based quantum information processing
Shuntaro Takeda, Hugo Benichi, Takahiro Mizuta, Noriyuki Lee, Jun-ichi, Yoshikawa, Akira Furusawa

TL;DR
This paper introduces a mode-filtering technique for non-Gaussian states generated by photon-subtraction, enhancing their non-classicality and robustness for quantum teleportation in quantum information processing.
Contribution
The authors demonstrate a practical mode-filtering method that improves the non-classical features of non-Gaussian states used in quantum teleportation, facilitating universal quantum information processing.
Findings
Mode-filtered states show stronger negativity of the Wigner function.
Filtered states maintain non-classicality after teleportation.
Technique is applicable to various photon-subtraction protocols.
Abstract
We propose and demonstrate an effective mode-filtering technique of non-Gaussian states generated by photon-subtraction. More robust non-Gaussian states have been obtained by removing noisy low frequencies from the original mode spectrum. We show that non-Gaussian states preserve their non-classicality after quantum teleportation to a higher degree, when they have been mode-filtered. This is indicated by a stronger negativity of the Wigner function at the origin, compared to for states that have not been mode-filtered. This technique can be straightforwardly applied to various kinds of photon-subtraction protocols, and can be a key ingredient in a variety of applications of non-Gaussian states, especially teleportation-based protocols towards universal quantum information processing.
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