Quantum Entanglement, Quantum Teleportation, Multilinear Polynomials and Geometry
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914427849146368 |
|---|---|
| author | Romero, Juan M. Montoya-Gonzalez, Emiliano Velazquez-Alvarado, Oscar |
| author_facet | Romero, Juan M. Montoya-Gonzalez, Emiliano Velazquez-Alvarado, Oscar |
| contents | We show that quantum entanglement states are associated with multilinear polynomials that cannot be factored. By using these multilinear polynomials, we propose a geometric representation for entanglement states. In particular, we show that the Bell's states are associated with non-factorable real multilinear polynomial, which can be represented geometrically by three-dimensional surfaces. Furthermore, in this framework, we show that a quantum circuit can be seen as a geometric transformations of plane geometry. This phenomenon is analogous to gravity, where matter curves space-time. In addition, we show an analogy between quantum teleportation and operations involving multilinear polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17621 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Entanglement, Quantum Teleportation, Multilinear Polynomials and Geometry Romero, Juan M. Montoya-Gonzalez, Emiliano Velazquez-Alvarado, Oscar Quantum Physics We show that quantum entanglement states are associated with multilinear polynomials that cannot be factored. By using these multilinear polynomials, we propose a geometric representation for entanglement states. In particular, we show that the Bell's states are associated with non-factorable real multilinear polynomial, which can be represented geometrically by three-dimensional surfaces. Furthermore, in this framework, we show that a quantum circuit can be seen as a geometric transformations of plane geometry. This phenomenon is analogous to gravity, where matter curves space-time. In addition, we show an analogy between quantum teleportation and operations involving multilinear polynomials. |
| title | Quantum Entanglement, Quantum Teleportation, Multilinear Polynomials and Geometry |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2407.17621 |