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EURAS Journal of Engineering and Applied Sciences

New Three-Pass Protocol for Time Dependent Information

Mukhayo Yunusovna Rasulova

Published Jan 1, 2021• 0 citations
Publisher

Abstract

In this paper, a new encryption method based on statistical mechanics is proposed, which enables transmitting information without transmitting the encryption key after sending the information, and also makes it possible to determine its own transformation for each information cell.For these purposes, solutions of the Schrödinger equation (Lieb -Liniger Model) and a hierarchy of quantum kinetic BBGKY equations with the delta function potential are used.

DOI
10.17932/ejeas.2021.024/ejeas_v02i1003

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In this paper, a new encryption method based on statistical mechanics is proposed, which enables transmitting information without transmitting the encryption key after sending the information, and also makes it possible to determine its own transformation for each information cell.For these purposes, solutions of the Schrödinger equation (Lieb -Liniger Model) and a hierarchy of quantum kinetic BBGKY equations with the delta function potential are used.
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Exact solutions of the Schrödinger equation describing a freely expanding Lieb-Liniger gas of delta-interacting bosons in one spatial dimension are constructed. We demonstrate that for any interaction strength the system enters a strongly correlated regime during such expansion. The asymptotic form of the wave function is shown to have the form characteristic for "impenetrable-core" bosons. Exact solutions are obtained by transforming a fully antisymmetric (fermionic) time-dependent wave function that obeys the Schrödinger equation for a free gas. This transformation employs a differential Fermi-Bose mapping operator that depends on the strength of the interaction and the number of particles.
This paper explores a novel quantum entanglement information transfer protocol, designed to surpass the limitations of classical information transmission. The core concept centers around utilizing quantum entanglement to establish a secure and potentially faster information transfer mechanism. We present a mathematical framework detailing the protocol's key components – including the creation of entangled states, the implementation of a specific encoding scheme, and the design of a quantum computation protocol. The paper focuses on the mathematical underpinnings of this protocol, including the entanglement generation process, the encryption/decryption algorithms, and the quantum computation steps. The goal is to provide a mathematically rigorous basis for this advanced information transfer technique.
This article proposes a new encryption algorithm based on two cryptographic techniques which are the three-pass protocol and the Paillier cryptosystem. Using the three-pass protocol makes it possible for one party to safely send a message to another party without exchanging or distributing encryption secrets. In each pass in the proposed algorithm, each party uses their private pair of prime numbers to calculate the modular number. That means they use their public and private keys to perform the encryption and decryption. Moreover, the encryption and the decryption on the sender side are performed by the Paillier cryptosystem which is based on the difficulty of finding the inverse modular of the public key. In the proposed algorithm, less information is shared between the two parties and that makes it more secure against attacks. The results show that the proposed algorithm needs less time to perform the encryption and decryption compared with the classic algorithm. Therefore, the proposed algorithm is more secure, fast and reliable for sending and receiving data compared with the classic algorithm.
Contemporarily, the quantum world is a new area in physics which has been widely explored. With the contributions of the scholars, the whole structure of the quantum world might cause great revolution on all the knowledge in various fields including teleportation, computing etc. Among various applications, quantum teleportation has attracted plenty of researchers, where remarkable results have been achieved based on the advanced facilities and proposed concepts. For quantum teleportation. The encryption is the key of the process. On this basis, the main topic of the whole paper will demonstrate the possible encryption concluded from two main communication methods. To be specific, the history and basic notes of quantum physics will be recalled primarily. In addition, the principle of encryption and applications of quantum communication will be discussed. Moreover, the state-of-art applications and implementations for encryption of quantum communication will be clarified. These results shed light on guiding further exploration of the encryption process of quantum communication.