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Quantum Random Number Generators provide true physical randomness based on quantum processes, essential for cryptographic and scientific applications. However, practical implementations face challenges in robustness and verifiability:…

Quantum Physics · Physics 2025-10-31 Rodrigo Piera , Gianluca De Santis , Agustin Sanchez , Yury Kurochkin , James A. Grieve

In order to perform Quantum Cryptography procedures it is often essencial to ensure that the parties of the communication are authentic. Such task is accomplished by quantum authentication protocols which are distributed algorithms based on…

Information Theory · Computer Science 2011-05-27 Elloá B. Guedes , Francisco Marcos de Assis

Purity testing protocols (PTPs), i.e., protocols that decide with high probability whether or not a distributed bipartite quantum state is maximally entangled, have been proven to be a useful tool in many quantum communication applications.…

Quantum Physics · Physics 2026-05-13 Róbert Trényi , Simeon Ball , David G. Glynn , Marcos Curty

Quantum computer is no longer a hypothetical idea. It is the worlds most important technology and there is a race among countries to get supremacy in quantum technology. Its the technology that will reduce the computing time from years to…

Cryptography and Security · Computer Science 2022-04-07 Manish Kumar

We prove direct quantum coding theorem for random quantum codes. The problem is separated into two parts: proof of distinguishability of codewords by receiver, and that of indistinguishability of codewords by environment (privacy). For a…

Quantum Physics · Physics 2008-04-03 Michal Horodecki , Seth Lloyd , Andreas Winter

We propose a new Quantum Key Recycling (QKR) protocol, which can tolerate the noise in the quantum channel. Our QKR protocol recycles the used keys according to the error rate. The key recycling rate of the pre-shared keys in our QKR…

Quantum Physics · Physics 2020-06-15 Yu-Chin Lu , Chia-Wei Tsai , Tzonelih Hwang

Quantum states are very delicate, so it is likely some sort of quantum error correction will be necessary to build reliable quantum computers. The theory of quantum error-correcting codes has some close ties to and some striking differences…

Quantum Physics · Physics 2009-04-17 Daniel Gottesman

We prove the security of a high-capacity quantum key distribution protocol over noisy channels. By using entanglement purification protocol, we construct a modified version of the protocol in which we separate it into two consecutive…

Quantum Physics · Physics 2007-05-23 Xiao-Wei Zhang , Kai Wen , Gui Lu Long

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…

Quantum Physics · Physics 2025-01-23 Zixuan Hu , Zhenyu Li

Fully homomorphic encryption is an encryption method with the property that any computation on the plaintext can be performed by a party having access to the ciphertext only. Here, we formally define and give schemes for quantum homomorphic…

Quantum Physics · Physics 2016-01-11 Anne Broadbent , Stacey Jeffery

Authentication provides the trust people need to engage in transactions. The advent of physical keys that are impossible to copy promises to revolutionize this field. Up to now, such keys have been verified by classical challenge-response…

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…

Quantum Key Distribution (QKD) protocols require Information-Theoretically Secure (ITS) authentication of the classical channel to preserve the unconditional security of the distilled key. Standard ITS schemes are based on one-time keys:…

A number of questions associated with practical implementations of quantum cryptography systems having to do with unconditional secrecy, computational loads and effective secrecy rates in the presence of perfect and imperfect sources are…

Quantum Physics · Physics 2007-05-23 G. Gilbert , M. Hamrick

E-commerce, a type of trading that occurs at a high frequency on the Internet, requires guaranteeing the integrity, authentication and non-repudiation of messages through long distance. As current e-commerce schemes are vulnerable to…

Quantum Physics · Physics 2024-01-17 Xiao-Yu Cao , Bing-Hong Li , Yang Wang , Yao Fu , Hua-Lei Yin , Zeng-Bing Chen

Quantum Error Correction (QEC) is an essential field of research towards the realization of large-scale quantum computers. On the theoretical side, a lot of effort is put into designing error-correcting codes that protect quantum data from…

Quantum Physics · Physics 2023-02-10 Lucas Berent , Lukas Burgholzer , Robert Wille

Quantum teleportation is a foundational protocol for sending quantum information through entanglement distribution and classical communication. Assuming ideal classical communication, the reliability of quantum teleportation is limited by…

In conventional cryptography, information-theoretically secure message authentication can be achieved by means of universal hash functions, and requires that the two legitimate users share a random secret key, which is twice as long as the…

Quantum Physics · Physics 2020-11-16 Georgios M. Nikolopoulos , Marc Fischlin

Certified randomness guaranteed to be unpredictable by adversaries is central to information security. The fundamental randomness inherent in quantum physics makes certification possible from devices that are only weakly characterised, i.e.…

We had recently shown that every positive integer can be represented uniquely using a recurrence sequence, when certain restrictions on the digit strings are satisfied. We present the details of how such representations can be used to build…

Number Theory · Mathematics 2015-03-17 Nathan Hamlin , Bala Krishnamoorthy , William Webb