Degree Type

Creative Component

Semester of Graduation

Summer 2019

Department

Mathematics

First Major Professor

Yiu Tung Poon

Degree(s)

Master of Science (MS)

Major(s)

Mathematics

Abstract

This article is a 50-page study of entanglement theory. First, the basic of quantum mechanics and mathematical definition of entanglement is presented. Second, entanglement is described as a physical phenomenon that set Quantum Mechanics distinct from Classical Physics. Third, entanglement as a physical resource for quantum communication is discussed with applications, the distillation process, and quantification problem. Fourth, several methods to detect entanglement are addressed. Detecting entanglement is shown to have a closed connection with positive maps in operator theory.

Copyright Owner

Thang Tran

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

File Format

PDF

Included in

Algebra Commons

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