Quantum Harmonic Oscillator and Schrodinger Paradox Based Nonlinear Confusion Component

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Quantum Harmonic Oscillator and Schrodinger Paradox Based Nonlinear Confusion Component Sundas Tariq 1 & Ahmed Elmoasry 2 & Syeda Iram Batool 1,3 & Majid Khan 1 Received: 20 February 2020 / Accepted: 29 September 2020/ # Springer Science+Business Media, LLC, part of Springer Nature 2020

Abstract

Modern ciphers utilized both confusion and diffusion components. Confusion component is fundamentally responsible to make the relation among cipher and key as much as strong in a qualitatively. The substitution is utilized to ensure the confusion in any block cipher. The confusion component is one of the most vital nonlinear part whereas diffusion is done through permutation which is linear component in any modern block ciphers schemes. Our aim in this article is to suggest a novel confusion component scheme based on quantum harmonic oscillator relation. We have authenticated our anticipated construction technique through standard cryptographic benchmarks and compared with already available results. Our proposed construction scheme for nonlinear component of block cipher is quite competent and can be utilized in different one confusion component-based block ciphers techniques. Keywords Confusion component . Quantum harmonic oscillator . Schrodinger paradox relation

1 Introduction Digital information travels in a high speed never before, due to today’s advancement in communication. Security of digital information which is in different forms is one of the fundamental problem of the existing world. To secure these digital information that travels through different communication line/channels and medium, information security techniques were utilized at a large scale nowadays. These information confidentiality techniques are fundamentally falls in cryptography. Cryptography is study to secure information from

* Syeda Iram Batool [email protected]

1

Cyber and Information Security Lab, Institute of Space Technology, Islamabad, Pakistan

2

Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Zulfi, Saudi Arabia

3

Department of Avionics Engineering, Institute of Space Technology, Islamabad, Pakistan

International Journal of Theoretical Physics

eavesdropping. In cryptography, encryption algorithms and modern cryptographic structures play a vital role. And in quantum cryptography, quantum mechanic’s principles play their vital role to ensure the security of the information and communication. Cryptography is divided mainly into two branches. One is known as symmetric/private key system and other one is asymmetric/public key system. Symmetric/private key system are further divided into two categories. These categories are known as stream ciphers and block ciphers. In symmetric/private key encryption system block ciphers are used. Substitution box (Sbox) and permutation box (P-box) are used in the block ciphers. Substitution box is used as a non-linear and confusion component. Main purpose of S-box is to create the confusion between cipher text and private key. But P-box is used to create dif