Document Type

Honors Thesis

Publication Date

5-15-2025

Abstract

Szab`o et al. [4] show that universal quantum cloning machines may be used to manipulate entanglement between bipartite states. Entanglement is measured with concurrence, C, and it is shown that as the fidelity of the cloner improves, more entanglement transfers from the reference to the cloned state. This thesis characterizes the nature of this entanglement transfer by analyzing the entanglement distribution of the cloner. In this analysis we will show that entanglement is generally destroyed after cloning except in cases where there is no cloning, two identical qubits are created, or there is complete qubit transfer. Along with a proof of this claim this thesis covers entanglement measures, a class of functions which quantify entanglement and entanglement distribution, a scheme for analyzing how quantum circuits transfer entanglement.

Included in

Mathematics Commons

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