Optimal continuous variable quantum teleportation with limited resources
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 entang...
| Main Authors: | , , , |
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| Format: | Article |
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American Physical Society
2017
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| Online Access: | https://eprints.nottingham.ac.uk/46919/ |
| _version_ | 1848797427879903232 |
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| author | Liuzzo-Scorpo, Pietro Mari, Andrea Giovannetti, Vittorio Adesso, Gerardo |
| author_facet | Liuzzo-Scorpo, Pietro Mari, Andrea Giovannetti, Vittorio Adesso, Gerardo |
| author_sort | Liuzzo-Scorpo, Pietro |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:03:43Z |
| format | Article |
| id | nottingham-46919 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:03:43Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-469192020-05-04T19:07:50Z https://eprints.nottingham.ac.uk/46919/ Optimal continuous variable quantum teleportation with limited resources Liuzzo-Scorpo, Pietro Mari, Andrea Giovannetti, Vittorio Adesso, Gerardo 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. American Physical Society 2017-09-21 Article PeerReviewed 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 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.119.120503 doi:10.1103/PhysRevLett.119.120503 doi:10.1103/PhysRevLett.119.120503 |
| spellingShingle | Liuzzo-Scorpo, Pietro Mari, Andrea Giovannetti, Vittorio Adesso, Gerardo Optimal continuous variable quantum teleportation with limited resources |
| title | Optimal continuous variable quantum teleportation with limited resources |
| title_full | Optimal continuous variable quantum teleportation with limited resources |
| title_fullStr | Optimal continuous variable quantum teleportation with limited resources |
| title_full_unstemmed | Optimal continuous variable quantum teleportation with limited resources |
| title_short | Optimal continuous variable quantum teleportation with limited resources |
| title_sort | optimal continuous variable quantum teleportation with limited resources |
| url | https://eprints.nottingham.ac.uk/46919/ https://eprints.nottingham.ac.uk/46919/ https://eprints.nottingham.ac.uk/46919/ |