Quantifying Entanglement
Vincenzo Maria Pianese
Quantifying Entanglement.
Rel. Davide Girolami. Politecnico di Torino, Corso di laurea magistrale in Physics Of Complex Systems (Fisica Dei Sistemi Complessi), 2024
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Abstract
As a relevant concept in Physics, the role played by entanglement in quantum information processing is paramount, as it is the main resource enabling considerable technological achievements, such as quantum communication, quantum cryptography, quantum computational speed-up and so on. Mathematically, Quantum entanglement is the most unbelievable non-classical property of compound states that cannot be decomposed as a statistical mixtures of product states over subsystems, and it has a very complex structure, encasing many features described by just as much entanglement measures. Among all of them, the Quantum Conditional Mutual Information is a particularly interesting one and represents the object this thesis is devoted to.
The exact quantification of many information measures is generally a daunting problem because it would involve a huge amount of computational resources that outstrip the capability on any existing computer: since the eigenvalues and relevant entropies of a density matrix operator and its subsystems are expected to be known, this task becomes quickly computationally demanding for large enough systems, setting itself as seemingly unsolvable
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