We propose a simple scheme to create entangled states and realize information transmission between qubits with non-direct interactions on the basis of quantum superdense coding and swap operations.This may offer the possibility of applications in scalable quantum computers.
Superdense coding is a quantum communication protocol that enables the transmission of more than one classical bit of information per qubit, using entangled states. While superdense coding with 2-qubits is well understood and directly maps to the Bell states, the same cannot be said for higher numbers of qubits. This project aims to develop an algorithm for superdense coding using a larger number of qubits, while analyzing how the capacity for information transmission scales with qubit count. Additionally, we will determine the error thresholds for accurately reconstructing the encoded information and investigate how error scales as the number of qubits increases. Gaining a deeper understanding of superdense coding has significant applications in quantum cryptography, as superdense coding schemes can be used to set up quantum secure direct communication (QSDC) protocols.
This paper investigates a novel approach to information encoding and error correction leveraging the unique properties of quantum entanglement. The core claim is to construct an information encoding scheme based on entangled states, complemented by quantum error correction codes, to achieve high-efficiency information transmission and storage. The proposed mechanism utilizes multi-body quantum entanglement for encoding, exploiting the correlated nature of entangled states, alongside the development of a specialized quantum error correction code designed to specifically address errors within entangled states. The research demonstrates a potential pathway exceeding the limitations of classical encoding, offering the possibility of superluminal information transfer by directly utilizing the correlations inherent in entanglement and implementing targeted error correction. The theoretical framework presented provides a foundation for future research into scalable quantum communication and data storage systems. The key mathematical components explored include the density matrix formalism, Pauli operators, and the concepts of quantum error correction codes, specifically focusing on their application to entangled states. The primary objective is to establish a robust and efficient method for encoding and correcting information using quantum entanglement, a crucial step towards realizing practical quantum communication networks.