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Generating secure random numbers is a central problem in cryptography that needs a reliable source of enough computing entropy. Without enough entropy available - meaning no good source of secure random numbers - a device is susceptible to…

Cryptography and Security · Computer Science 2018-10-02 JV Roig

Quantum random number generators are becoming mandatory in a demanding technology world of high performing learning algorithms and security guidelines. Our implementation based on principles of quantum mechanics enable us to achieve the…

Quantum Physics · Physics 2021-07-19 Anindita Banerjee , Deepika Aggarwal , Ankush Sharma , Ganesh Yadav

The operational characterization of quantum coherence is the corner stone in the development of resource theory of coherence. We introduce a new coherence quantifier based on max-relative entropy. We prove that max-relative entropy of…

Quantum Physics · Physics 2018-01-17 Kaifeng Bu , Uttam Singh , Shao-Ming Fei , Arun Kumar Pati , Junde Wu

Randomness, mainly in the form of random numbers, is the fundamental prerequisite for the security of many cryptographic tasks. Quantum randomness can be extracted even if adversaries are fully aware of the protocol and even control the…

Quantum Physics · Physics 2023-03-24 Wen-Bo Liu , Yu-Shuo Lu , Yao Fu , Si-Cheng Huang , Ze-Jie Yin , Kun Jiang , Hua-Lei Yin , Zeng-Bing Chen

Random numbers are commonly used in many different fields, ranging from simulations in fundamental science to security applications. In some critical cases, as Bell's tests and cryptography, the random numbers are required to be both secure…

Quantum Physics · Physics 2019-01-14 Marco Avesani , Davide G. Marangon , Giuseppe Vallone , Paolo Villoresi

We analyze the optimal basis for generating the maximum relative entropy of quantum coherence by an arbitrary gate on a two-qubit system. The optimal basis is not unique, and the high quantum coherence generating gates are also typically…

Quantum Physics · Physics 2023-03-14 Aparajita Bhattacharyya , Ahana Ghoshal , Ujjwal Sen

Ultrafast physical random bit generation at hundreds of Gb/s rates, with verified randomness, is a crucial ingredient in secure communication and have recently emerged using optics based physical systems. Here we examine the inverse problem…

Signal Processing · Electrical Eng. & Systems 2019-11-05 Shira Sardi , Herut Uzan , Shiri Otmazgin , Yaara Aviad , Michael Rosenbluh , Ido Kanter

Decoy state method quantum key distribution (QKD) is one of the promising practical solutions to BB84 QKD with coherent light pulses. In the real world, however, statistical fluctuations with the finite code length cannot be negligible, and…

Quantum Physics · Physics 2007-07-25 Jun Hasegawa , Masahito Hayashi , Tohya Hiroshima , Akihisa Tomita

Computational entropies provide a framework for quantifying uncertainty and randomness under computational constraints. They play a central role in classical cryptography, underpinning the analysis and construction of primitives such as…

Quantum Physics · Physics 2026-02-03 Noam Avidan , Rotem Arnon

Intrinsic quantum randomness is produced when a projective measurement on a given basis is implemented on a pure state that is not an element of the basis. The prepared state and implemented measurement are perfectly known, yet the measured…

Quantum Physics · Physics 2023-11-06 Gabriel Senno , Thomas Strohm , Antonio Acín

We establish an operational theory of coherence (or of superposition) in quantum systems, by focusing on the optimal rate of performance of certain tasks. Namely, we introduce the two basic concepts - "coherence distillation" and "coherence…

Quantum Physics · Physics 2016-03-25 Andreas Winter , Dong Yang

A remarkable aspect of quantum theory is that certain measurement outcomes are entirely unpredictable to all possible observers. Such quantum events can be harnessed to generate numbers whose randomness is asserted based upon the underlying…

We describe a methodology and standard of proof for experimental claims of quantum random number generation (QRNG), analogous to well-established methods from precision measurement. For appropriately constructed physical implementations,…

Quantum Physics · Physics 2015-01-14 Morgan W. Mitchell , Carlos Abellan , Waldimar Amaya

We present security proofs for a protocol for Quantum Key Distribution (QKD) based on encoding in finite high-dimensional Hilbert spaces. This protocol is an extension of Bennett's and Brassard's basic protocol from two bases, two state…

Quantum Physics · Physics 2009-11-07 Mohamed Bourennane , Anders Karlsson , Gunnar Bjork , Nicolas Gisin , Nicolas Cerf

This is a study of the security of the Coherent One-Way (COW) protocol for quantum cryptography, proposed recently as a simple and fast experimental scheme. In the zero-error regime, the eavesdropper Eve can only take advantage of the…

Quantum Physics · Physics 2008-02-05 Cyril Branciard , Nicolas Gisin , Norbert Lutkenhaus , Valerio Scarani

The goal of randomness extraction is to distill (almost) perfect randomness from a weak source of randomness. When the source yields a classical string X, many extractor constructions are known. Yet, when considering a physical randomness…

Quantum Physics · Physics 2014-05-14 Mario Berta , Omar Fawzi , Stephanie Wehner

Entanglement and coherence are fundamental properties of quantum systems, promising to power near future quantum technologies, such as quantum computation, quantum communication and quantum metrology. Yet, their quantification, rather than…

The entropy or randomness source is an essential ingredient in random number generation. Quantum random number generators generally require well modeled and calibrated light sources, such as a laser, to generate randomness. With…

Randomness extraction against side information is the art of distilling from a given source a key which is almost uniform conditioned on the side information. This paper provides randomness extraction against quantum side information whose…

Information Theory · Computer Science 2019-11-11 Yodai Watanabe

We develop techniques to analyse the statistics of completion times of non-deterministic elements in quantum entanglement generation, and how they affect the overall performance as measured by the secret key rate. By considering such…

Quantum Physics · Physics 2019-04-10 Scott E. Vinay , Pieter Kok