Applications of semi-definite optimization in quantum information protocols - Publication - MOST Wiedzy

Search

Applications of semi-definite optimization in quantum information protocols

Abstract

This work is concerned with the issue of applications of the semi-definite programming (SDP) in the field of quantum information sci- ence. Our results of the analysis of certain quantum information protocols using this optimization technique are presented, and an implementation of a relevant numerical tool is introduced. The key method used is NPA discovered by Navascues et al. [Phys. Rev. Lett. 98, 010401 (2007)]. In chapter 1 a brief overview of mathematical methods used in this work is presented. In chapter 2 an introduction to quantum information science is given. Chapter 3 concerns the device-independent (DI) and semi-device-independent (SDI) approaches in quantum cryptography. In chapter 4 our results regarding quantum information protocols which we developed using SDP are described. The results include a new type of quantum key distribution protocol based on Hardy's paradox; several pro- tocols for quantum random number expansion; a method of formulation of SDP relaxations of SDI protocols; and a DI Santha-Vazirani source of randomness amplification protocol. In chapter 5 an introduction to in- terior point methods is given. In chapter 6 the implementation of our numerical tool dedicated to problems occurring in chapter 4 are discussed and compared with other solutions.

Details

Category:
Thesis, nostrification
Type:
praca doktorska pracowników zatrudnionych w PG oraz studentów studium doktoranckiego
Language:
English
Publication year:
2016
Verified by:
Gdańsk University of Technology

seen 31 times

Recommended for you

Meta Tags