Optimal continuous variable quantum teleportation with limited resources

Liuzzo-Scorpo, Pietro, Mari, Andrea, Giovannetti, Vittorio and Adesso, Gerardo (2017) Optimal continuous variable quantum teleportation with limited resources. Physical Review Letters, 119 (12). 120503/1-120503/6. ISSN 1079-7114

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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.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/883646
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.
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1103/PhysRevLett.119.120503
Depositing User: Eprints, Support
Date Deposited: 02 Oct 2017 13:09
Last Modified: 04 May 2020 19:07
URI: https://eprints.nottingham.ac.uk/id/eprint/46919

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