Unit:
Κατεύθυνση Φυσική των Υλικών (ΒΑΣΙΚΗ ΦΥΣΙΚΗ)Library of the School of Science
Supervisors info:
Φώτιος Διάκονος, Αναπληρωτής Καθηγητής, Τμήμα Φυσικής, Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών
Original Title:
Τέλεια μεταβίβαση καταστάσεων σε κβαντικά καλώδια με τοπικές συμμετρίες
Translated title:
Perfect state transfer in quantum wires with local symmetries
Summary:
The management of quantum information is one of the fundamental problems in the implementation of quantum computers. An important stage in this process is the transfer of information in quantum 'wires' that can be simulated with chains of qubits. In this work we studied the perfect transfer of a quantum state in open and closed linear chains of 1/2-spins representing the qubits. We consider exclusively first neighbor interactions without external magnetic field. We also ignore the interaction of the system with the environment. Numerically it is determined when a perfect state transfer is possible, employing the Nelder-Mead minimization method. Interpreting the minimization results, we obtain some strict conditions for perfect transfer of quantum states in both spin chain types. Οptimal solutions usually possess locally symmetric hopping elements. This highlights the role of local symmetries in the perfect transfer of quantum states, however its deeper understanding requires further study.
Main subject category:
Science
Keywords:
State transfer, spin chains, Nelder-Mead method
