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This book focuses on Quantum True Random Number Generators (QTRNGs), presenting a comprehensive and critical treatment of randomness generation and the certification of quantumness. A central objective is to address the widespread misconception that passing classical statistical randomness tests is sufficient to certify the quantum nature of a random number generator. The primary purpose of the book is to establish a rigorous framework for evaluating and certifying QRNGs. A central goal is to correct the misconception that standard statistical tests are sufficient to prove a device is 'quantum'. The authors demonstrate that classical PRNGs and quantum sources often produce statistically indistinguishable outputs, meaning standard tests cannot certify the source of randomness, only its quality. This book aims to bridge the gap between theoretical quantum physics and practical cryptographic engineering by proposing robust certification methodologies.
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