# Teleportation of Entanglement.

## Date of Submission

December 2003

## Date of Award

Winter 12-12-2004

## Institute Name (Publisher)

Indian Statistical Institute

## Document Type

Master's Dissertation

## Degree Name

Master of Technology

## Subject Name

Computer Science

## Department

Physics and Applied Mathematics Unit (PAMU-Kolkata)

## Supervisor

Kar, Guruprasad (PAMU-Kolkata; ISI)

## Abstract (Summary of the Work)

Quantum computation and quantun information is the study of information processing task that can be accomplished using quantum mechanical laws.Like many simple but profound ideas it was a long time before anybody thought of doing information processing using quantum mechanical system.The story began at the turn of the twentietlh century when a revolution was going in science. Several problen arisen in physics. To explain those problems the modern theory of Quantum mechanics was introduced . Since then quantum mechanics has been an indispensable part of Science, and has been applied with enormous success to everything under and inside Sun, including the structure of the atom, superconductors, the structure of DNA, and the elementary particles of Nature.What is Quantum mechanics? In a word quantum mechanics is a mathemat- ical framework for the construction of physical theory. For example Qua electrodynamics can describe the interaction of atoms and light with acct. Quantum electrodynamics is built under the framework of quantum mechanies. The relation of a particular physical theory like Quantum electrodynamics h quantum mechanics is just as computer operating system is related to a sp application software.The rules of quantum mechanics are simple but even the experts find them counterintuitive. One of the major goals of quantum information and quantum computation is to develop tools which sharpen our intuition about quantum me- chanics. In the early 1980 the interest arose whether it is possible to signal faster than light using quantum mechanics which is a big no-no according to Einsteins theory of relativity. This problem has a nice implication towards.another famous problem of quantum mechanics - can we clone an unknown quantum state?: If the answer is yes then it is possible to signal faster than light! Fortunately it. was proved that unknown quantum state can not be cloned in general - a land- mark result of quantum mechanics which effectively supports Einsteins theory of relativity. Another related historical strand contributing to the development of quantum computation and quantum information is the interest dating to the 1970s, of obtaining complete control over single quantum system. Since the 1970s many technique for controlling single quantum state has been developet. Quan- tum computationn and Quantum information naturally fits into this problem. Despite this intense interest, efforts to build quantum information processing systems have resulted in modest success to date. Small quantum computers, ca- pable of doing dozen of operations on a few qubits ( state of a two level quantum mechanical system) represent the current art of practical quantum computing. Experimental prototype of quantum cryptography has been denonstrated and has reached in the level of real world application. We may think of classical information as being cinbodied in a physical system which has been prepared in a state unknown to us. By performing a measurement to identify the state we acquire the information. We know that the fundamental unit of classical information, a bit, can have value either 0 or 1. We often allows the receiver to have some prior knowledge about the values, say 0 will be received with probability po(respectively p1). Shannons theory in this scenario gives a precise mathematical quantification of information and leads to great practical interest.

## Control Number

ISI-DISS-2003-104

## Creative Commons License

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

## DOI

http://dspace.isical.ac.in:8080/jspui/handle/10263/6276

## Recommended Citation

Nair, Ajay, "Teleportation of Entanglement." (2004). *Master’s Dissertations*. 177.

https://digitalcommons.isical.ac.in/masters-dissertations/177

## Comments

ProQuest Collection ID: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:28843198