Study on Entanglement and its Utility in Information Processing

TL;DR

This paper investigates the effectiveness of various entangled states in quantum information tasks like teleportation, dense coding, and secret sharing, introducing new states and protocols, and analyzing their advantages and security features.

Contribution

It proposes a new class of non-maximally entangled mixed states, explores their generation via quantum cloning, and develops a novel secret sharing protocol involving dishonest parties.

Findings

New non-maximally entangled mixed states outperform existing states in teleportation.

Quantum cloning machines can generate useful entangled states for communication tasks.

A secure secret sharing protocol involving dishonest parties is demonstrated.

Abstract

The efficacies of maximally and that of non-maximally entangled mixed states as teleportation channels have been studied. A new class of non-maximally entangled mixed states have been proposed also. Their advantages as quantum teleportation channels over existing non-maximally entangled mixed states have been verified. The mixed states can also be generated using quantum cloning machines. We have also studied how one can utilize the mixed entangled states obtained as output from a state independent quantum cloning machine in teleportation and dense coding. Mixed states can also be used in secret sharing. A new protocol of secret sharing has been devised where four parties are involved. One of them is honest by nature and the other is dishonest. The dishonest one has two associates who are also involved in the protocol. It has been shown how the honest party, by using quantum cloning machine, can prevent the dishonest party from communicating the secret message to his accomplices. A relation has been established among entanglement of the initially prepared state, entanglement of the mixed state received by the recipients of the dishonest one after honest party applies the cloning scheme and the cloning parameters of the cloning machine. The usefulness of tri-partite and four-partite entangled states in controlled dense coding has been discussed. The thesis concludes with the summary and possible courses of future works.