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In this paper, we intend to study the geometric meaning of the discrete logarithm problem defined over an Elliptic Curve. The key idea is to reduce the Elliptic Curve Discrete Logarithm Problem (EC-DLP) into a system of equations. These…

Cryptography and Security · Computer Science 2019-09-20 Daniele Di Tullio , Ankan Pal

We present a simple and practical protocol for the solution of a secure multiparty communication task, the secret sharing, and its experimental realization. In this protocol, a secret message is split among several parties in a way that its…

Quantum secret sharing schemes are a family of quantum cryptographic protocols which provide secure quantum encodings, mapping one secret to multiple shares of information such that the original secret cannot be accessed without an…

Quantum Physics · Physics 2026-05-01 Varin Sikand , Andrew Nemec

Quantum key distribution (QKD) allows two spatially separated parties to securely generate a cryptographic key. The first QKD protocol, published by C. H. Bennett and G. Brassard in 1984 (BB84), describes how this is achieved by…

Quantum Physics · Physics 2009-03-13 Olli Ahonen

A ($t$, $n$) threshold quantum secret sharing (QSS) is proposed based on a single $d$-level quantum system. It enables the ($t$, $n$) threshold structure based on Shamir's secret sharing and simply requires sequential communication in…

Quantum Physics · Physics 2018-10-10 Changbin Lu , Fuyou Miao , Junpeng Hou , Keju Meng

Quantum algorithms for factoring and discrete logarithm have previously been generalized to finding hidden subgroups of finite Abelian groups. This paper explores the possibility of extending this general viewpoint to finding hidden…

Quantum Physics · Physics 2015-06-02 Mark Ettinger , Peter Hoyer

Centralized differential privacy has been successfully applied to quantum computing and information processing to protect privacy and avoid leaks in the connections between neighboring quantum states. Consequently, quantum local…

Quantum Physics · Physics 2025-09-17 Ji Guan

In contrast to classical public-key cryptosystems, where the security of encoded messages relies on on computational assumptions, Quantum Key Distribution (QKD) enables two distant parties to establish a shared secret key that, when…

The need for secrecy and security is essential in communication. Secret sharing is a conventional protocol to distribute a secret message to a group of parties, who cannot access it individually but need to cooperate in order to decode it.…

Quantum Physics · Physics 2017-01-16 Ioannis Kogias , Yu Xiang , Qiongyi He , Gerardo Adesso

Practical implementations of quantum cryptography use attenuated laser pulses as the signal source rather than single photons. The channels used to transmit are also lossy. Here we give a simple derivation of two beam-splitting attacks on…

Quantum Physics · Physics 2015-06-26 Mark Williamson , Vlatko Vedral

Existing quantum computers can only operate with hundreds of qubits in the Noisy Intermediate-Scale Quantum (NISQ) state, while quantum distributed computing (QDC) is regarded as a reliable way to address this limitation, allowing quantum…

Quantum Physics · Physics 2025-01-07 Hui Zhong , Keyi Ju , Jiachen Shen , Xinyue Zhang , Xiaoqi Qin , Tomoaki Ohtsuki , Miao Pan , Zhu Han

In contemporary cryptographic systems, secret keys are usually exchanged by means of methods, which suffer from mathematical and technology inherent drawbacks. That could lead to unnoticed complete compromise of cryptographic systems,…

Quantum Physics · Physics 2009-04-28 Solange Ghernaouti-Helie , Igli Tashi , Thomas Laenger , Christian Monyk

This study proposes a quantum secret authentication code for protecting the integrity of secret quantum states. Since BB84[1] was first proposed, the eavesdropper detection strategy in almost all quantum cryptographic protocols is based on…

Quantum Physics · Physics 2011-08-18 Tong-Xuan Wei , Tzonelih Hwang , Chia-Wei Tsai

We present a quantum version of a cipher used in cryptography where the message to be communicated is encoded into the relative phase of a quantum state using the shared key. The encoded quantum information carrying the message is actually…

Quantum Physics · Physics 2018-11-07 Vikram Menon , Ayan Chattopadhyay

A secret key shared through quantum key distribution between two cooperative players is secure against any eavesdropping attack allowed by the laws of physics. Yet, such a key can be established only when the quantum channel error rate due…

Quantum Physics · Physics 2007-05-23 H. F. Chau

Oblivious transfer protocol is a basic building block in cryptography and is used to transfer information from a sender to a receiver in such a way that, at the end of the protocol, the sender does not know if the receiver got the message…

Quantum Physics · Physics 2015-06-19 A. Souto , P. Mateus , P. Adão , N. Paunković

Quantum key distribution (QKD) is the first quantum information task to reach the level of mature technology, already fit for commercialization. It aims at the creation of a secret key between authorized partners connected by a quantum…

Quantum computing offers unparalleled processing power but raises significant data privacy challenges. Quantum Differential Privacy (QDP) leverages inherent quantum noise to safeguard privacy, surpassing traditional DP. This paper develops…

Quantum Physics · Physics 2025-01-16 Baobao Song , Shiva Raj Pokhrel , Athanasios V. Vasilakos , Tianqing Zhu , Gang Li

This paper investigates a reconciliation method in order to establish an errorless secret key in a QKD protocol. Classical key distribution protocols are no longer unconditionally secure because computational complexity of mathematical…

Quantum Physics · Physics 2020-02-19 Nedra Benletaief , Houria Rezig , Ammar Bouallegue

Precise suites of benchmarks are required to assess the progress of early fault-tolerant quantum computers at economically impactful applications such as cryptanalysis. Appropriate challenges exist for factoring but those for elliptic curve…

Quantum Physics · Physics 2026-03-27 Pierre-Luc Dallaire-Demers , William Doyle , Timothy Foo
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