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IEEE International Conference on Recent Trends in Electronics, Information & Communication Technology

One time pad generation using quantum superposition states

Gaurav K. Upadhyay, Manisha J. Nene

Published May 1, 2016• 28 citations
Publisher

Abstract

Modern cryptography offers three goals of Confidentiality, Integrity and Availability, known as CIA triad. Confidentiality of any message or communication is secrecy of its content. All the modern cryptosystems provide cryptographic secrecy and not perfect secrecy. Two ingredients of perfect secrecy are truly random source and secure communication channel. Both are available in quantum computing paradigm. However, Quantum Computers are not yet commercially available. Certain time-tested cryptographic techniques in classical computing can be combined with principles of quantum computing to to achieve the goal of perfect secrecy. Theoretically, One Time Pad (OTP) is proven to be unconditionally secure. The paper suggests an hybrid approach to cryptography by generating OTP using quantum superposition states. The results of OTP generation are corroborated with theoretical values. The OTP so generated by realization of the suggested approach on a classical system is found to pass the test for randomness.

DOI
10.1109/rteict.2016.7808162

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Modern cryptography offers three goals of Confidentiality, Integrity and Availability, known as CIA triad. Confidentiality of any message or communication is secrecy of its content. All the modern cryptosystems provide cryptographic secrecy and not perfect secrecy. Two ingredients of perfect secrecy are truly random source and secure communication channel. Both are available in quantum computing paradigm. However, Quantum Computers are not yet commercially available. Certain time-tested cryptographic techniques in classical computing can be combined with principles of quantum computing to to achieve the goal of perfect secrecy. Theoretically, One Time Pad (OTP) is proven to be unconditionally secure. The paper suggests an hybrid approach to cryptography by generating OTP using quantum superposition states. The results of OTP generation are corroborated with theoretical values. The OTP so generated by realization of the suggested approach on a classical system is found to pass the test for randomness.
Currently many symmetric key cryptographic tools which are known to be quantum-safe. They all share Secret symmetric keys through an untrusted medium which is usually done with public key methods which are prone to quantum attacks. One among the recommended solutions to the key distribution problem is Quantum Key Distribution (QKD). QKD utilizes an authenticated Communication channel along with a quantum communication channel so that a secret key is generated. Whatever may be the protocol to implement proposed QKD, they all need both a quantum channel, and an authenticated classical. OTP (One Time Pad) is used when two parties wish to communications have to share a key called pad. This pad is a randomly generated key and the length of the key should be equal to the message so it can be sent. The proposed QKD parameters that result in almost 35.67% smaller keys for quantum security and an implementation of QKD in network which is publicly available and usable in practice.
In this thesis, a new practical method to realize one-time pad perfect secrecy for wireless \ncommunication is presented. Most commonly used security methods are based on cryp- tographic \ntechniques employed at the upper layers of a wireless network. These methods basically rely on the \ncomputational hardness of some mathematical problems. This com- putational complexity is vulnerable \nin nature due to fast-growing computational power of hardware technology, yet not taking into \naccount the revolution of Quantum computing in further future. Another core problematic issue \nexists in symmetric security systems; there is a deadlock between securing the channel and \nestablishing the shared key. We need the key for securing the channel, on the other hand, for \nsharing the key we need a secure channel. \n \nTo address such vulnerabilities, Physical Layer Security (PLS) has been widely studied in recent \nyears. PLS schemes build on the idea of turning unpredictable and random wire- less channel \ncharacteristics into a source for information-theoretic security. Information- theoretic security \nitself, relies on Shannon’s pioneer work . Shannon, inspired by one-time pad, also known as Vernam \ncipher, theoretically showed that the only unconditional per- fect secrecy system is a one-time pad \nwith a key at least as random as the plaintext, i.e., a system that uses a different random key to \ncipher any new plaintext. In PLS key genera- tion methods, legitimate parties alternately send \nprobe signals and estimate Channel State Information (CSI) of common random channel and then \nconvert enough amount of these estimates to secure shared keys. To achieve perfect secrecy, the key \ngeneration methods must meet the key randomness and Key Generation Rate (KGR) requirements of \ntheir specific cryptographic applications. \n \nIn this research a new practical system for achieving unconditional perfect secrecy is presented. \nOur system uses channel phase as the probing parameter to fully benefit from its uniform \ndistribution over [0, 2π]. It also uses an encryption method based on modulo- \n2π addition of phase values which is the perfect counterpart of XOR addition in binary one-time \npad. Moreover, by intentionally perturbing the wireless channel in vicinity of the transceiver \nantenna based on RF-mirrors structure, it produces different random phase values in each channel \nprobing, much faster than the inherent channel variation would do, resulting in dramatically higher \nKGR than any wide-band PLS scheme presented so far and realizing true perfect secrecy. Most \nimportantly, the focus of this research is a detailed practical algorithm for implementing the \nsystem as well as empirical results which makes \nour system the first channel-phase-based PLS scheme implementation, reported so far.
As we move further into the era of digital transformation, cloud services are becoming a cornerstone across industries such as healthcare, agriculture, and Industry 4.0. These sectors increasingly rely on cloud environments to collect, process, and store vast amounts of data, often integrated with smart devices. While ensuring high availability and efficiency remains vital, the paramount concern is maintaining data security. This challenge becomes even more pressing in a world where quantum computers pose a serious threat to traditional cryptographic methods. Classical encryption schemes, particularly those relying on computational hardness assumptions, are susceptible to quantum attacks. This paper proposes a solution by combining the theoretically unbreakable One-Time Pad (OTP) encryption with quantum-safe key exchange protocols. Through the integration of Quantum Key Distribution (QKD) and post-quantum cryptographic techniques, we outline a robust framework designed to secure communication in the coming quantum era.
Shannon's perfect-secrecy theorem states that a perfect encryption system that yields zero information to the adversary must be a one-time pad (OTP) with the keys randomly generated and never reused. In this work we design the first encryption method (classical or quantum) that overcomes Shannon's theorem to achieve perfect secrecy with reusable keys. Because the mechanisms used are fundamentally quantum, Shannon's theorem remains true in the classical regime. Consequently, the quantum encryption design demonstrates decisive quantum advantage by achieving a goal impossible for classical systems. Finally, the design has major practical advantages by not requiring authentication and having silent tampering detection.
A double precision security based application is presented on one-time pad (OTP) technique cryptography using quantum three-pass protocol (QTPP) for subsequent encoding and decoding of plaintext(s).The encoding message first transformed to quantum state, called photon particles, used as qubit, and after encoding that quantum state is rotated randomly by an angle for each quantum bits.For the same, both parties agree over a random shared secret key generated by the system that are specific to the security services and works as hidden agents for the next session to establish.The encryption and decryption utilizes the quantum three-pass protocol for the OTP, and finally detailed analysis is presented.
The One-time-pad (OTP) was mathematically proven to be perfectly secure by Shannon in 1949. We propose to extend the classical OTP from an n-bit finite field to the entire symmetric group over the finite field. Within this context the symmetric group can be represented by a discrete Hilbert sphere (DHS) over an n-bit computational basis. Unlike the continuous Hilbert space defined over a complex field in quantum computing, a DHS is defined over the finite field GF(2). Within this DHS, the entire symmetric group can be completely described by the complete set of n-bit binary permutation matrices. Encoding of a plaintext can be done by randomly selecting a permutation matrix from the symmetric group to multiply with the computational basis vector associated with the state corresponding to the data to be encoded. Then, the resulting vector is converted to an output state as the ciphertext. The decoding is the same procedure but with the transpose of the pre-shared permutation matrix. We demonstrate that under this extension, the 1-to-1 mapping in the classical OTP is equally likely decoupled in Discrete Hilbert Space. The uncertainty relationship between permutation matrices protects the selected pad, consisting of M permutation matrices (also called Quantum permutation pad, or QPP). QPP not only maintains the perfect secrecy feature of the classical formulation but is also reusable without invalidating the perfect secrecy property. The extended Shannon perfect secrecy is then stated such that the ciphertext C gives absolutely no information about the plaintext P and the pad.