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We consider two quantum cryptographic schemes relying on encoding the key into qudits, i.e. quantum states in a d-dimensional Hilbert space. The first cryptosystem uses two mutually unbiased bases (thereby extending the BB84 scheme), while…

Quantum Physics · Physics 2009-11-07 Nicolas J. Cerf , Mohamed Bourennane , Anders Karlsson , Nicolas Gisin

In this paper, we present secure distributed matrix multiplication (SDMM) schemes over the complex numbers with good numerical stability and small mutual information leakage by utilizing polynomial interpolation with roots of unity.…

Information Theory · Computer Science 2025-08-26 Okko Makkonen , Camilla Hollanti

I review the ideas and main results in the derivation of security bounds in quantum key distribution for keys of finite length. In particular, all the detailed studies on specific protocols and implementations indicate that no secret key…

Quantum Physics · Physics 2010-10-05 Valerio Scarani

We address a cryptanalysis of two protocols based on the supposed difficulty of discrete logarithm problem on (semi) groups of matrices over a group ring. We can find the secret key and break entirely the protocols.

Cryptography and Security · Computer Science 2015-03-17 Mohammad Eftekhari

Machine learning on encrypted data has received a lot of attention thanks to recent breakthroughs in homomorphic encryption and secure multi-party computation. It allows outsourcing computation to untrusted servers without sacrificing…

Machine Learning · Computer Science 2021-09-24 Theo Ryffel , Edouard Dufour-Sans , Romain Gay , Francis Bach , David Pointcheval

This paper reviews and highlights how coding schemes have been used to solve various problems in blockchain systems. Specifically, these problems relate to scaling blockchains in terms of their data storage, computation and communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-22 Changlin Yang , Kwan-Wu Chin , Jiguang Wang , Xiaodong Wang , Ying Liu , Zibin Zheng

The Shapley value has been proposed as a solution to many applications in machine learning, including for equitable valuation of data. Shapley values are computationally expensive and involve the entire dataset. The query for a point's…

Machine Learning · Computer Science 2022-06-02 Lauren Watson , Rayna Andreeva , Hao-Tsung Yang , Rik Sarkar

In this paper, we solve a maximization problem where the objective function is quadratic and the constraints set is the reachable values set of a stable discrete-time affine system. This problem is equivalent to solve an infinite number of…

Optimization and Control · Mathematics 2023-09-04 Assalé Adjé

We perform a comprehensive analysis of practical quantum cryptography (QC) systems implemented in actual physical environments via either free-space or fiber-optic cable quantum channels for ground-ground, ground-satellite, air-satellite…

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

In this paper we propose the federated learning algorithm Fed-PLT to overcome the challenges of (i) expensive communications and (ii) privacy preservation. We address (i) by allowing for both partial participation and local training, which…

Machine Learning · Computer Science 2024-12-02 Nicola Bastianello , Changxin Liu , Karl H. Johansson

We analyze the security and reliability of a recently proposed class of public-key cryptosystems against attacks by unauthorized parties who have acquired partial knowledge of one or more of the private key components and/or of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 N. S. Skantzos , D. Saad , Y. Kabashima

We establish a lower bound on the asymptotic secret key rate of continuous-variable quantum key distribution with a discrete modulation of coherent states. The bound is valid against collective attacks and is obtained by formulating the…

Quantum Physics · Physics 2019-06-27 Shouvik Ghorai , Philippe Grangier , Eleni Diamanti , Anthony Leverrier

Quantum cryptography uses techniques and ideas from physics and computer science. The combination of these ideas makes the security proofs of quantum cryptography a complicated task. To prove that a quantum-cryptography protocol is secure,…

Quantum Physics · Physics 2015-05-13 Normand J. Beaudry

Finding low-weight multiples of a binary polynomial is a difficult problem arising in the context of stream ciphers cryptanalysis. The classical algorithm to solve this problem is based on a time memory trade-off. We will present an…

Cryptography and Security · Computer Science 2007-07-12 Frédéric Didier , Yann Laigle-Chapuy

Privacy estimation techniques for differentially private (DP) algorithms are useful for comparing against analytical bounds, or to empirically measure privacy loss in settings where known analytical bounds are not tight. However, existing…

Machine Learning · Computer Science 2024-04-19 Galen Andrew , Peter Kairouz , Sewoong Oh , Alina Oprea , H. Brendan McMahan , Vinith M. Suriyakumar

We present a rank metric code-based encryption scheme with key and ciphertext sizes comparable to that of isogeny-based cryptography for an equivalent security level. The system also benefits from efficient encryption and decryption…

Cryptography and Security · Computer Science 2019-12-02 Julien Lavauzelle , Pierre Loidreau , Ba-Duc Pham

The semidirect discrete logarithm problem (SDLP) is the following analogue of the standard discrete logarithm problem in the semidirect product semigroup $G\rtimes \mathrm{End}(G)$ for a finite semigroup $G$. Given $g\in G, \sigma\in…

Cryptography and Security · Computer Science 2023-12-22 Muhammad Imran , Gábor Ivanyos

Quantum computing poses significant threats to conventional cryptographic techniques such as RSA and AES, motivating the need for quantum secure communication methods. Quantum Key Distribution (QKD) offers information theoretic security…

This paper provides a formula for the sacrifice bit-length for privacy amplification with the Bennett-Brassard 1984 protocol for finite key lengths when we employ the decoy method. Using the formula, we can guarantee the security parameter…

Quantum Physics · Physics 2014-08-26 Masahito Hayashi , Ryota Nakayama

There is no doubt that quantum key distribution is an excellent result as a science. However, this paper presents a view on quantum key distribution (QKD) wherein QKD may have a difficulty to provide a sufficient security and good…

Quantum Physics · Physics 2014-09-23 Osamu Hirota