Finite-resource teleportation stretching for continuous-variable systems

Riccardo Laurenza; Samuel L. Braunstein; Stefano Pirandola

doi:10.1038/s41598-018-33332-y

Finite-resource teleportation stretching for continuous-variable systems

Riccardo Laurenza, Samuel L. Braunstein, Stefano Pirandola

Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

We show how adaptive protocols of quantum and private communication through bosonic Gaussian channels can be simplified into much easier block versions that involve resource states with finite energy. This is achieved by combining the adaptive-to-block reduction technique devised in [Pirandola et al., arXiv:1510.08863], based on teleportation stretching and relative entropy of entanglement, with the simulation of Gaussian channels introduced by [Liuzzo-Scorpo et al., arXiv:1705.03017]. In this way, we derive weak converse upper bounds for the secret-key capacity of phase-insensitive Gaussian channels, which closely approximate the optimal limit for infinite energy. Our results apply to both point-to-point and repeater-assisted private communications.

Original language	English
Article number	15267
Number of pages	10
Journal	Scientific Reports
Volume	8
DOIs	https://doi.org/10.1038/s41598-018-33332-y
Publication status	Published - 15 Oct 2018

Bibliographical note

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10.1038/s41598-018-33332-y

1706.06065v2Submitted manuscript, 594 KB
Finite_Stretching_v5
© The Author(s) 2018
Accepted author manuscript, 333 KBLicence: CC BY
s41598-018-33332-y
© The Author(s) 2018
Final published version, 1.59 MBLicence: CC BY

https://www.nature.com/articles/s41598-018-33332-y.pdf

Cite this

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title = "Finite-resource teleportation stretching for continuous-variable systems",

abstract = "We show how adaptive protocols of quantum and private communication through bosonic Gaussian channels can be simplified into much easier block versions that involve resource states with finite energy. This is achieved by combining the adaptive-to-block reduction technique devised in [Pirandola et al., arXiv:1510.08863], based on teleportation stretching and relative entropy of entanglement, with the simulation of Gaussian channels introduced by [Liuzzo-Scorpo et al., arXiv:1705.03017]. In this way, we derive weak converse upper bounds for the secret-key capacity of phase-insensitive Gaussian channels, which closely approximate the optimal limit for infinite energy. Our results apply to both point-to-point and repeater-assisted private communications.",

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AU - Braunstein, Samuel L.

AU - Pirandola, Stefano

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AB - We show how adaptive protocols of quantum and private communication through bosonic Gaussian channels can be simplified into much easier block versions that involve resource states with finite energy. This is achieved by combining the adaptive-to-block reduction technique devised in [Pirandola et al., arXiv:1510.08863], based on teleportation stretching and relative entropy of entanglement, with the simulation of Gaussian channels introduced by [Liuzzo-Scorpo et al., arXiv:1705.03017]. In this way, we derive weak converse upper bounds for the secret-key capacity of phase-insensitive Gaussian channels, which closely approximate the optimal limit for infinite energy. Our results apply to both point-to-point and repeater-assisted private communications.

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