Gorde:
| Egile Nagusiak: | , , |
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| Formatua: | Preprint |
| Argitaratua: |
2024
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| Gaiak: | |
| Sarrera elektronikoa: | https://arxiv.org/abs/2407.09921 |
| Etiketak: |
Etiketa erantsi
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| _version_ | 1866915688886566912 |
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| author | Fierro, Julio Abraham Mendoza Aguilar, Luis Manuel Arévalo Otero, Marcela Maribel Méndez |
| author_facet | Fierro, Julio Abraham Mendoza Aguilar, Luis Manuel Arévalo Otero, Marcela Maribel Méndez |
| contents | Continuous-variable projective measurements can not select individual measurement results as in the discrete case; instead, the possible outcomes are bounded by the selectivity interval of the measurement; then, it is say that continuous-variable measurement devices are insufficiently selective. By utilizing this concept we show that the probability and fidelity of teleportation in a two-mode cluster state can be handled by the localization of the selectivity interval of the measurement apparatus. Besides, we provide a mathematical expression describing the probability distribution of the measurement outcomes in the two-mode cluster, which is a fundamental solution of the heat equation. In addition, we show that the fidelity of teleportation in the two mode cluster is given by the quotient between the squared solution of a non-homogeneous heat equation and the solution of the conventional heat equation. Furthermore, we extend our approach to a configuration involving successive clusters with intermediate corrections between each teleportation step. To exemplify our proposal, we consider the specific case of a squeezed-coherent state as the quantum state under teleportation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09921 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Probability and fidelity of teleportation in a two-mode continuous variable cluster state via an insufficiently selective measurement Fierro, Julio Abraham Mendoza Aguilar, Luis Manuel Arévalo Otero, Marcela Maribel Méndez Quantum Physics Continuous-variable projective measurements can not select individual measurement results as in the discrete case; instead, the possible outcomes are bounded by the selectivity interval of the measurement; then, it is say that continuous-variable measurement devices are insufficiently selective. By utilizing this concept we show that the probability and fidelity of teleportation in a two-mode cluster state can be handled by the localization of the selectivity interval of the measurement apparatus. Besides, we provide a mathematical expression describing the probability distribution of the measurement outcomes in the two-mode cluster, which is a fundamental solution of the heat equation. In addition, we show that the fidelity of teleportation in the two mode cluster is given by the quotient between the squared solution of a non-homogeneous heat equation and the solution of the conventional heat equation. Furthermore, we extend our approach to a configuration involving successive clusters with intermediate corrections between each teleportation step. To exemplify our proposal, we consider the specific case of a squeezed-coherent state as the quantum state under teleportation. |
| title | Probability and fidelity of teleportation in a two-mode continuous variable cluster state via an insufficiently selective measurement |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2407.09921 |