Simulating and Analyzing Two Protocols for the Concentration of Entanglement

Many applications of quantum communication require a high amount of entanglement between the states of two separated parties, for example quantum teleportation or superdense coding. However, when states are locally entangled and then separated, errors arise during transportation of the qubits. This results in a lower amount of entanglement...

Inequalities and Quantum Entanglement: From the Cauchy-Schwarz Inequality to Non-linear Entanglement Witnesses

In this thesis, two topics are studied: mathematical inequalities and non-linear quantum entanglement witnesses. First, various inequalities, like the Cauchy-Schwarz inequality (on finite dimensional vector spaces) and Jensen's inequality, along with their extensions and generalisations, are proved and discussed. The intimate relationship...