Quantum information and entanglement. Study of entanglement in anisotropic XY model in the presence of magnetic field

Postgraduate Thesis uoadl:1318119 595 Read counter

Unit:
Κατεύθυνση Πυρηνική Φυσική και Φυσική Στοιχειωδών Σωματιδίων (ΒΑΣΙΚΗ ΦΥΣΙΚΗ)
Library of the School of Science
Deposit date:
2016-02-22
Year:
2016
Author:
Ευταξίας Νικόλαος-Γεώργιος
Supervisors info:
Αλέξανδρος Καρανίκας Αναπλ. Καθηγητής (Επιβλέπων), Φώτιος Διάκονος Αναπλ. Καθηγητής, Νικόλαος Τετράδης Καθηγητής
Original Title:
Κβαντική πληροφορία και κβαντική διεμπλοκή. Μελέτη της διεμπλοκής σε ανισοτροπικό ΧΥ μοντέλο παρουσία μαγνητικού πεδίου
Languages:
Greek
Translated title:
Quantum information and entanglement. Study of entanglement in anisotropic XY model in the presence of magnetic field
Summary:
For decades entanglement was a focal issue for the foundations of quantum
physics discussions. In more recent years operations such as quantum
computation, quantum cryptography and quantum teleportation based largely on
entanglement. Both for theoretical and practical reasons the study and the
quantification of entanglement has gained great interest. This work is divided
into four parts. In the first part we formulate axioms of quantum mechanics in
the language of density matrix. In the second, we start from EPR arguments and
we run their disassembly by the conclusion that nature (appear so far that) can
not be described by a local realistic theory. In the third part, we present
definitions and measures for classical correlations and for entanglement.
Finally, in the fourth part, we study a system of two spin qubits which
interact via anisotropic XY chain in an environment of an external magnetic
field and a thermal bath. We conclude that adjusting the anisotropy factor and
the magnetic field we can produce entanglement at any temperature, as opposed
to the isotropic model. The XY model is offered for the theoretical control of
measure "concurrence" and for applications in quantum gates.
Keywords:
Entanglement, XY model, Density matrix, Quantum information, EPR
Index:
No
Number of index pages:
0
Contains images:
Yes
Number of references:
50
Number of pages:
71
File:
File access is restricted.

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