Quantum Entanglement, Quantum Teleportation, Multilinear Polynomials and Geometry

• URL: http://arxiv.org/abs/2407.17621v3
• Date: Fri, 18 Oct 2024 20:47:44 GMT
• Title: Quantum Entanglement, Quantum Teleportation, Multilinear Polynomials and Geometry
• Authors: Juan M. Romero, Emiliano Montoya-Gonzalez, Oscar Velazquez-Alvarado,
• Abstract summary: We show that quantum states are associated with multilinear entanglements that cannot be factored. In particular, we show that the Bell's states are associated with non-linear real multilinear framework.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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