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CRC Press eBooks

Quantum Phase Parameterized True Random Number Generation for Secure Communication

T. S. Gururaja, Padmapriya Praveenkumar

Published Jun 2, 2026• 0 citations
Publisher

Abstract

This chapter introduces a quantum phase-parameterized approach to true random number generation, utilizing a natural superposition of quantum gates. The method employs a scalable quantum circuit architecture, using the RY(π/2) gate followed by the S gate across multiple qubits to generate maximally unpredictable quantum states. The proposed circuit was implemented on the IBM Quantum platform, where it generates bitstrings from quantum measurements that form the basis of the QTRNG output. To validate the randomness and cryptographic strength, extensive statistical testing was performed. These include restart experiments to verify non-reproducibility, autocorrelation analysis for temporal independence, and evaluations using NIST SP 800-22, SP 800-90B, Dieharder, and ENT test suites. These tests evaluate frequency, runs, entropy, chi-square distribution, and serial correlation to ensure high entropy and strong randomness quality. Results confirm that the proposed QTRNG consistently passes all tests, generating unbiased, high-quality random numbers. The approach is suitable for applications in post-quantum cryptography, secure key generation, and communication protocols, establishing a robust framework for safe and scalable quantum-based randomness.

DOI
10.1201/9781003641650-9

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True randomness is a basic necessity of secure cryptography. This secures the reliability of encryption keys, digital signatures and authentication mechanisms. Classical random number generators based on deterministic algorithms can introduce patterns and decrease reliability. This paper introduces a Quantum True Random Number Generator (QTRNG) takes advantage of the intrinsic unpredictability of quantum mechanics. The proposed quantum circuit usesRY(π/2)R Y(\pi / 2)RY(π/2)andRZ(π/2)R Z(\pi / 2)RZ(π/2)rotations to create superposition states like Hadamard operation. These gates control the phase and orientation of qubits on the Bloch sphere yields measurement outcomes are inherently random. The resulting distributions are unbiased and balanced offers a source of true randomness. The quality of the generated bitstrings is verified using statistical tests such as the NIST SP 800-22, SP 800-90 test suites and autocorrelation tests. The measurements show high entropy, uniform distribution and low bias satisfy the basic requirements for cryptographic security. Phase-based quantum operations provide an efficient for producing high-quality quantum randomness facilitates the construction of effective quantum-secure cryptographic systems.
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Random numbers are the foundation for cryptographic protocols including encryption and key generation This work presents the design and evaluation of a Quantum Random Number Generator (QRNG) leveraging quantum phase gates in IBM Qiskit, specifically S†(S-dagger), Rx(θ) and S gates. These gates exploit quantum phenomena such as superposition and entanglement to generate high-quality random numbers. By optimizing resource utilization through qubit reuse by measurement operations, the generated binary outcomes form a random number sequence. The quality and unpredictability of the numbers are validated using statistical tests including NIST SP 800-90, SP 800-22 and other preliminary tests. The QRNG has significant potential for enhancing cryptographic protocols, secure data transmission and network authentication particularly in the context of emerging 6G communication systems.
Random numbers are used in various domains, including quantum communication and cryptography applications such as key generation and authentication. Quantum mechanics has the intrinsic ability to generate truly random numbers, making it an ideal alternative for scientific applications that require randomness. Quantum wireless communication is proposed as a new means of communication that is safe, secure, and efficient. The simplicity of our source rotation gate, combined with its independently verifiable solitary unpredictability, is essential to obtain quantum random number generators without spending any money. In this chapter, we explore and study the 24-qubit random number. The worst-case entropy value for such randomly produced integers is 0.999445, with the min-entropy of such numbers being 0.0008. Additionally, steering restart tests were used to validate later verification of true randomness, and the statistical characteristics of the True Random Number Generation (TRNG) were assessed using an autocorrelation study and the statistical test suites.
Quantum True Random Number Generators (QTRNGs) utilizes the inherent probabilistic nature of quantum mechanics to produce non-deterministic randomness. This paper presents a rotational random number generator that utilizes a two-axis rotation approach combiningRX(π/2)R X(\pi / 2)RX(π/2)andRY(π/2)R Y(\pi / 2)RY(π/2)gates for enhanced quantum state diversity. Unlike conventional single-axis architectures, the proposed model explores a larger region of the Bloch sphere enriches phase dynamics and increasing entropy per qubit. Each qubit undergoes sequential RX-RY transformations followed by Z-basis measurement produces unbiased and statistically random bit sequences. The proposed architecture demonstrates high isotropy, strong phase uniformity and robustness under noisy quantum backends. Simulation results using Qiskit confirm a measured collapse state of\vert 1010\vert with a global phase of2π2 \pi2π, validates genuine quantum randomness. Statistical evaluation using NIST, Dieharder and ENT benchmarks show >99% uniformity and high min-entropy, positioning dual-axis quantum system as a scalable, hardware-efficient quantum entropy source for cryptographic and post-quantum security applications.
Cryptography is evolving to meet the demands of future cyber technologies, but classical cryptographic methods remain vulnerable to interception. Cryptographic techniques struggle to address the evolving landscape of cybersecurity threats, Quantum Key Distribution (QKD) emerges as a superior alternative, leveraging quantum mechanics principles such as superposition and entanglement for secure key exchanges. This chapter details the implementation of a Quantum True Random Number Generator (QTRNG) using fundamental single-qubit operation including Hadamard (H), Rotation (RZ) and square-root NOT (SX) gates using IBM Quantum Platform. We evaluate the integration of this QTRNG across several discrete variable QKD protocols: BB84, B92, E91, T22, Differential Phase Shift, and SARG04. The study focuses on how the QTRNG contributes to the randomness and security of these protocols, demonstrating its effectiveness in producing high-quality quantum keys that meet rigorous cryptographic standards.