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We prove that the equivalence of two fundamental problems in the theory of computing. For every polynomial $t(n)\geq (1+\varepsilon)n, \varepsilon>0$, the following are equivalent: - One-way functions exists (which in turn is equivalent to…

计算复杂性 · 计算机科学 2020-09-25 Yanyi Liu , Rafael Pass

In this paper, we present a simple bare-bones solution of a Zero-Knowledge authentication protocol which uses non-commutative algebra and a variation of the generalized symmetric decomposition problem (GSDP) as a one-way function. The…

密码学与安全 · 计算机科学 2017-03-28 Pedro Hecht

This article presents the application of homomorphic authenticators, replication encodings to be precise, to multigroup fully homomorphic encryption schemes. Following the works of Gennaro and Wichs on homomorphic authenticators in…

密码学与安全 · 计算机科学 2023-03-16 Ramsès Fernàndez-València

We give new proofs for the hardness amplification of efficiently samplable predicates and of weakly verifiable puzzles which generalize to new settings. More concretely, in the first part of the paper, we give a new proof of Yao's XOR-Lemma…

密码学与安全 · 计算机科学 2010-12-30 Thomas Holenstein , Grant Schoenebeck

There is a large body of work studying what forms of computational hardness are needed to realize classical cryptography. In particular, one-way functions and pseudorandom generators can be built from each other, and thus require equivalent…

密码学与安全 · 计算机科学 2025-04-02 Bruno Cavalar , Eli Goldin , Matthew Gray , Peter Hall , Yanyi Liu , Angelos Pelecanos

With today's quantum processors venturing into regimes beyond the capabilities of classical devices [1-3], we face the challenge to verify that these devices perform as intended, even when we cannot check their results on classical…

With the advent of quantum cloud computing, the security of delegated quantum computation has become of utmost importance. While multiple statistically secure blind verification schemes in the prepare-and-send model have been proposed, none…

量子物理 · 物理学 2026-04-16 Theodoros Kapourniotis , Dominik Leichtle , Luka Music , Harold Ollivier

We give a meta-complexity characterization of EFI pairs, which are considered the "minimal" primitive in quantum cryptography (and are equivalent to quantum commitments). More precisely, we show that the existence of EFI pairs is equivalent…

量子物理 · 物理学 2025-10-10 Bruno Cavalar , Boyang Chen , Andrea Coladangelo , Matthew Gray , Zihan Hu , Zhengfeng Ji , Xingjian Li

Computing the copositive minimum of a strictly copositive quadratic form is a natural generalization of computing the arithmetical minimum of a positive definite one. In this paper we show that this generalized problem is NP-complete.…

数论 · 数学 2025-09-30 Alexander Oertel , Achill Schürmann

The no-cloning theorem can be used as a basis for quantum money constructions which guarantee unconditionally unforgeable currency. Existing schemes, however, either (i) require long-term quantum memory and quantum communication between the…

量子物理 · 物理学 2025-10-22 Dmytro Gavinsky , Dar Gilboa , Siddhartha Jain , Dmitri Maslov , Jarrod R. McClean

Motivated by the applications of secure multiparty computation as a privacy-protecting data analysis tool, and identifying oblivious transfer as one of its main practical enablers, we propose a practical realization of randomized quantum…

Traditional methods in public key cryptography are based on number theory, and suffer from problems such as dealing with very large numbers, making key creation cumbersome. Here, we propose a new public key cryptosystem based on strings…

密码学与安全 · 计算机科学 2015-01-20 M. Andrecut

In the absence of any efficient classical schemes for verifying a universal quantum computer, the importance of limiting the required quantum resources for this task has been highlighted recently. Currently, most of efficient quantum…

量子物理 · 物理学 2015-06-24 Theodoros Kapourniotis , Vedran Dunjko , Elham Kashefi

Compartmentalization is good security-engineering practice. By breaking a large software system into mutually distrustful components that run with minimal privileges, restricting their interactions to conform to well-defined interfaces, we…

密码学与安全 · 计算机科学 2017-04-18 Yannis Juglaret , Catalin Hritcu , Arthur Azevedo de Amorim , Boris Eng , Benjamin C. Pierce

Suppose we are given two identical copies of an unknown quantum state and we wish to delete one copy from among the given two copies. The quantum no-deletion principle restricts us from perfectly deleting a copy but it does not prohibit us…

量子物理 · 物理学 2009-11-11 Satyabrata Adhikari

Bhat et al. developed an inductive compiler that computes density functions for probability spaces described by programs in a simple probabilistic functional language. In this work, we implement such a compiler for a modified version of…

编程语言 · 计算机科学 2017-07-24 Manuel Eberl , Johannes Hölzl , Tobias Nipkow

In applications involving sensitive data, such as finance and healthcare, the necessity for preserving data privacy can be a significant barrier to machine learning model development. Differential privacy (DP) has emerged as one canonical…

机器学习 · 计算机科学 2022-11-15 Zachary Izzo , Jinsung Yoon , Sercan O. Arik , James Zou

Hidden variables are extra components added to try to banish counterintuitive features of quantum mechanics. We start with a quantum-mechanical model and describe various properties that can be asked of a hidden-variable model. We present…

量子物理 · 物理学 2008-12-03 Adam Brandenburger , Noson Yanofsky

Quantum cryptographic definitions are often sensitive to the number of copies of the cryptographic states revealed to an adversary. Making definitional changes to the number of copies accessible to an adversary can drastically affect…

量子物理 · 物理学 2026-03-10 Prabhanjan Ananth , Eli Goldin

This article describes a lightweight additive homomorphic algorithm with the same encryption and decryption keys. Compared to standard additive homomorphic algorithms like Paillier, this algorithm reduces the computational cost of…

密码学与安全 · 计算机科学 2024-04-03 Wuqiong Pan , Hongliang Gu