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Optimal continuous variable quantum teleportation with limited resources

Liuzzo-Scorpo, Pietro; Mari, Andrea; Giovannetti, Vittorio; Adesso, Gerardo

Authors

Pietro Liuzzo-Scorpo

Andrea Mari

Vittorio Giovannetti

Gerardo Adesso



Abstract

Given a certain amount of entanglement available as a resource, what is the most efficient way to accomplish a quantum task? We address this question in the relevant case of continuous variable quantum teleportation protocols implemented using two-mode Gaussian states with a limited degree of entanglement and energy. We first characterize the class of single-mode phase-insensitive Gaussian channels that can be simulated via a Braunstein-Kimble protocol with nonunit gain and minimum shared entanglement, showing that infinite energy is not necessary apart from the special case of the quantum limited attenuator. We also find that apart from the identity, all phase-insensitive Gaussian channels can be simulated through a two-mode squeezed state with finite energy, albeit with a larger entanglement. We then consider the problem of teleporting single-mode coherent states with Gaussian-distributed displacement in phase space. Performing a geometrical optimization over phase-insensitive Gaussian channels, we determine the maximum average teleportation fidelity achievable with any finite entanglement and for any realistically finite variance of the input distribution.

Journal Article Type Article
Publication Date Sep 21, 2017
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 119
Issue 12
Article Number 120503
APA6 Citation Liuzzo-Scorpo, P., Mari, A., Giovannetti, V., & Adesso, G. (2017). Optimal continuous variable quantum teleportation with limited resources. Physical Review Letters, 119(12), doi:10.1103/PhysRevLett.119.120503
DOI https://doi.org/10.1103/PhysRevLett.119.120503
Publisher URL https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.119.120503
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information Pietro Liuzzo-Scorpo, Andrea Mari, Vittorio Giovannetti, and Gerardo Adesso, Optimal continuous variable quantum teleportation with limited resources, Phys. Rev. Lett. 119, 120503.

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1705.03017 Adesso.pdf (648 Kb)
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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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