Unit:
Κατεύθυνση Πυρηνική Φυσική και Φυσική Στοιχειωδών Σωματιδίων (ΒΑΣΙΚΗ ΦΥΣΙΚΗ)Library of the School of Science
Author:
Anastasiadis Adamantios
Supervisors info:
Φ. Διάκονος, Αναπληρωτής Καθηγητής, Τμήμα Φυσικής,ΕΚΠΑ
Α. Καρανίκας, Αναπληρωτής Καθηγητής Τμήμα Φυσικής ΕΚΠΑ
Ε. Φλωράτος, Ομότιμος Καθηγητής, Τμήμα Φυσικής, ΕΚΠΑ
Original Title:
ΓΝΗΣΙΑ ΚΒΑΝΤΙΚΗ ΔΙΕΜΠΛΟΚΗ ΤΡΙΩΝ QUBITS
Translated title:
GENUINE ENTANGLEMENT OF THREE QUBITS
Summary:
This master thesis is about quantum entanglement of three qubits. Quantum entanglement for n>2 qubits is an open scientific question with important consequences for quantum computing and quantum technologies. No adequate measures for n partite
entanglement exist. Furthermore the only know separability criterion in our
disposal is the Horodecki-Peres criterion which is capable of distinguishing separable
states for 2X2 and 2X3 Hilbert spaces (qubits and qutrits). Our goal is to present
the standard definition of quantum entanglement and two entanglement measures - von Neumann entropy and Concurrence. We investigate these measures for the case of a dynamical system of two and three qubits. Furthermore we present Schmidt Decomposition and elaborate on the case for the three qubits where we can't implement this useful tool. Finally we present a new separability criterion which successfully recognizes separable states in the case of two and three qubits.
Main subject category:
Science
Keywords:
Tripartite quantum entanglement, Separability criterion, Measures of entanglement
