Optimal continuous variable quantum teleportation with limited resources

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

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.

Citation

Liuzzo-Scorpo, P., Mari, A., Giovannetti, V., & Adesso, G. (2017). Optimal continuous variable quantum teleportation with limited resources. Physical Review Letters, 119(12), Article 120503. https://doi.org/10.1103/PhysRevLett.119.120503

• Journal Article Type: Article
• Acceptance Date: Aug 24, 2017
• Publication Date: Sep 21, 2017
• Deposit Date: Oct 2, 2017
• Publicly Available Date: Oct 2, 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
• DOI: https://doi.org/10.1103/PhysRevLett.119.120503
• Public URL: https://nottingham-repository.worktribe.com/output/883646
• Publisher URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.119.120503
• 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.
• Contract Date: Oct 2, 2017