Cloning Fidelity Derived from the Quantum Channel Representation of the Cloner

Undergraduate thesis in physics, Universidad de los Andes (2025)

In quantum information theory, one of the central goals is to understand how the information contained in physical systems can be represented, transformed, and transmitted under the laws of quantum mechanics. Unlike the classical framework, where states can be freely copied and distributed, quantum states obey fundamental constraints that completely alter our intuition about the duplication and processing of information. Among these limitations is the no-cloning theorem, which states that it is impossible to construct a unitary procedure that exactly reproduces an unknown quantum state without degrading or destroying it. Far from being a technical obstacle, this result constitutes a structural principle that defines the boundaries of physically realizable operations and shapes the behavior of quantum channels, cryptographic protocols, and communication tasks.


Grupo de Física Estadística

Departamento de Física

Edificio Ip

Carrera 1E # 18A-10

Bogotá, Colombia

Universidad de los Andes | Vigilada Mineducación
Reconocimiento como Universidad: Decreto 1297 del 30 de mayo de 1964.
Reconocimiento personería jurídica: Resolución 28 del 23 de febrero de 1949 Minjusticia.

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