Entanglement recycling in two-step port-based teleportation
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915884540362752 |
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| author | Kopszak, Piotr Grinko, Dmitry Burchardt, Adam Ozols, Maris Studziński, Michał Mozrzymas, Marek |
| author_facet | Kopszak, Piotr Grinko, Dmitry Burchardt, Adam Ozols, Maris Studziński, Michał Mozrzymas, Marek |
| contents | A protocol involving the repetitive (twofold, to be precise) application of PBT protocol to the same resource is studied. The quantities characterizing the resulting protocol, so-called \textit{two-step PBT}, namely \textit{enatnglement fidelity} and \textit{success probability} are provided for two scenarios, relying on application of pretty-good measurement, i.e. deterministic and probabilistic PBT with non-EPR resource. This results show that two-step PBT is an accurate protocol, provided the resource is sufficiently large. In particular, the deterministic two-step PBT obtains fidelity that is remarkably close to the optimal MPBT fidelity for teleportation of two quantum states. Additionally, the \textit{recycling fidelity}, i.e. the quantity characterizing the degradation of the resource state is calculated for repetitive application of probabilistic protocol, for both EPR and optimized resource, showing that entanglement recycling with two-step PBT is possible in the former case as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00710 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entanglement recycling in two-step port-based teleportation Kopszak, Piotr Grinko, Dmitry Burchardt, Adam Ozols, Maris Studziński, Michał Mozrzymas, Marek Quantum Physics Mathematical Physics A protocol involving the repetitive (twofold, to be precise) application of PBT protocol to the same resource is studied. The quantities characterizing the resulting protocol, so-called \textit{two-step PBT}, namely \textit{enatnglement fidelity} and \textit{success probability} are provided for two scenarios, relying on application of pretty-good measurement, i.e. deterministic and probabilistic PBT with non-EPR resource. This results show that two-step PBT is an accurate protocol, provided the resource is sufficiently large. In particular, the deterministic two-step PBT obtains fidelity that is remarkably close to the optimal MPBT fidelity for teleportation of two quantum states. Additionally, the \textit{recycling fidelity}, i.e. the quantity characterizing the degradation of the resource state is calculated for repetitive application of probabilistic protocol, for both EPR and optimized resource, showing that entanglement recycling with two-step PBT is possible in the former case as well. |
| title | Entanglement recycling in two-step port-based teleportation |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2504.00710 |