Effect of Quantum correlation on Perfect K pair Quantum Network Coding

TL;DR

This paper presents a protocol for transmitting multiple quantum states across a network with a single bottleneck, utilizing quantum correlations like entanglement and discord to achieve perfect fidelity.

Contribution

It introduces a novel quantum network coding protocol that leverages quantum correlations, including discord, to enable perfect transmission of multiple quantum states.

Findings

Maximum entangled states enable perfect quantum state teleportation.

Quantum discord can facilitate perfect transmission in specific network configurations.

No difference in classical bits required when sharing different types of entangled states.

Abstract

We find a protocol transmitting K quantum states crossly in the quantum networks with K pair sender-receiver and one bottleneck channels only with sharing quantum correlations between senders. In these networks senders want to multi cast perfect quantum states to receivers. Perfect send on the quantum networks is impossible just using some additional resources like quantum correlation. This protocol has been used maximum entangled states and Quantum Discord which is best indicator of the quantum nature of the correlation to sharing between senders. At first, to send perfect K states in quantum network applied some maximum entanglement states to teleport quantum states, Enistein - Podolsky - Rosen (EPR) states as simple and two qubit states and Grrenberger- Horne - Zeilinger (GHZ) states and W states as kinds of three qubit states. Then reached that there is no difference between sharing these maximum entanglement states and must send same amount of classical bits in bottleneck channel. In the second part of this paper of sharing Quantum Correlation (quantum discord) perfect send of two quantum states is possible in the Butterfly network with fidelity equal one.