Quantum Entanglement, Quantum Teleportation, Multilinear Polynomials and Geometry
Autor: | Romero, Juan M., Montoya-Gonzalez, Emiliano, Velazquez-Alvarado, Oscar |
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Rok vydání: | 2024 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: 16 pages, 2 figures. Comments welcome |
Databáze: | arXiv |
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