# Quantum Secret Sharing in a Distributed Quantum Network.

## Date of Submission

December 2002

## Date of Award

Winter 12-12-2003

## 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 quantum information is the study of information procensing task that can be accomplished using quantum mechanical system.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 twentieth century when a revolution was guing in science. Several problem 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 suceess to everything under and inside Sun, including the structure of the atom, superconductors, the structure of DNA , and the clementary particles of Nature.What is Quantum mechanics ? in a word quantum mechanics is a mathe- matical framework for the construction of physical thcory.For example Quantum electrodynamics can describe the interaction of atoms and light with accuracy. Quantum electrodynanics is built under the framework of quantum mechanies. The relation of a particular physical theory like Quantum electrodynamics with quantum mechanics is just as computer operating system is related to a specific application software.The rules of quantum mechanics are simple but even the experts find them connterintuitive. One of the major goals of quantum information and quantum computation in to develop tools which sharpen our intuition about quantum me- ehanies. 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 1leory of relativity. This problem has a nice implication towarcds 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 197ls , of obtaining complete control over single quautn Nysten.Sinee the 1974ls many techuique for controlling single quantam state has been developed. Quan- tum computation and Quantiun information naturally fits into this problem. Despite this intense interest , efforts to build quantum information processing Nystes have resulted in modest success to date. Small quantum computers, a-jualble of doiug dozen of operations on a few qubits( state of a two lewel qunntam inechnnienl syntem) represent the current nrt of praetical qunstism compating. Experimental prototype of quantun cryptography has been demonstrated and Ihna reached in the level of real world application.So far we have been talking about rules and power of quant um merhanies. But what this has to do with computer science? Let us now turn our attention to computer science - another triumph of twentieth century. The modern incarnation of computer science was announced by Alan Turing in a remarkable pajer in 1936. Turing developed a imodel of computation known an Turing machine, which now we know as programmable computer.

## Control Number

ISI-DISS-2002-100

## 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/10263/6272

## Recommended Citation

Mukhopadhyay, Partha, "Quantum Secret Sharing in a Distributed Quantum Network." (2003). *Master’s Dissertations*. 192.

https://digitalcommons.isical.ac.in/masters-dissertations/192

## 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:28843213