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Quantum key distribution (QKD) protocols make it possible for two parties to generate a secret shared key. One of the most important QKD protocols, BB84, was suggested by Bennett and Brassard in 1984. Various proofs of unconditional…

Quantum Physics · Physics 2022-08-26 Michel Boyer , Rotem Liss , Tal Mor

Blind quantum computing [A. Broadbent, J. Fitzsimons, and E. Kashefi, Proceedings of the 50th Annual IEEE Symposium on Foundations of Computer Science 517 (2009)] is a secure cloud quantum computing protocol which enables a client (who does…

Quantum Physics · Physics 2013-06-11 Tomoyuki Morimae , Takeshi Koshiba

Quantum circuits are the fundamental representation of quantum algorithms and constitute valuable intellectual property (IP). Multiple quantum circuit obfuscation (QCO) techniques have been proposed in prior research to protect quantum…

Quantum Physics · Physics 2025-11-10 Hongyu Zhang , Yuntao Liu

Security is an important facet of integrated circuit design for many applications. IP privacy and Trojan insertion are growing threats as circuit fabrication in advanced nodes almost inevitably relies on untrusted foundries. A proposed…

Cryptography and Security · Computer Science 2020-05-21 Joseph Sweeney , Samuel Pagliarini , Lawrence Pileggi

In this work, we present a novel authenticated Quantum Key Distribution (QKD) protocol employing maximally entangled qubit pairs. In the absence of noise, we securely authenticate the well-known BB84 QKD scheme under two assumptions: first,…

Quantum Physics · Physics 2025-10-22 Pol Julià Farré , Vladlen Galetsky , Soham Ghosh , Janis Nötzel , Christian Deppe

In this paper, we propose a new class of local differential privacy (LDP) schemes based on combinatorial block designs for discrete distribution estimation. This class not only recovers many known LDP schemes in a unified framework of…

Cryptography and Security · Computer Science 2023-10-18 Hyun-Young Park , Seung-Hyun Nam , Si-Hyeon Lee

A set $M$ of nonzero integers is said to split a finite abelian group $G$ if there exists a subset $S\subseteq G$ such that $M\cdot S = G\setminus\{0\}$. Such a splitting is called purely singular if every prime divisor of $|G|$ divides…

Combinatorics · Mathematics 2026-05-12 Ka Hin Leung , Tao Zhang

Writing correct distributed programs is hard. In spite of extensive testing and debugging, software faults persist even in commercial grade software. Many distributed systems, especially those employed in safety-critical environments,…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Neeraj Mittal , Vijay K. Garg

We give explicit constructions for incomplete pairwise balanced designs IPBD$((v;w),K)$, or, equivalently, edge-decompositions of a difference of two cliques $K_v \setminus K_w$ into cliques whose sizes belong to the set $K$. Our…

Combinatorics · Mathematics 2018-09-24 Peter J. Dukes , Esther R. Lamken

Since its inception, Benders Decomposition (BD) has been successfully applied to a wide range of large-scale mixed-integer (linear) problems. The key element of BD is the derivation of Benders cuts, which are often not unique. In this…

Optimization and Control · Mathematics 2024-05-21 Mojtaba Hosseini , John Turner

The main result of this paper is to show that all binomial identities are orderable. This is a natural statement in the combinatorial theory of finite sets, which can also be applied in distributed computing to derive new strong bounds on…

Discrete Mathematics · Computer Science 2016-06-24 Dmitry N. Kozlov

Quantum key distribution (QKD) is a provably secure way for two distant parties to establish a common secret key, which then can be used in a classical cryptographic scheme. Using quantum entanglement, one can reduce the necessary…

Quantum Physics · Physics 2016-08-10 E. A. Aguilar , R. Ramanathan , J. Kofler , M. Pawlowski

Separability for groups refers to the question which subsets of a group can be detected in its finite quotients. Classically, separability is studied in terms of which classes have a certain separability property, and this question is…

Group Theory · Mathematics 2022-02-01 Jonas Deré , Michal Ferov , Mark Pengitore

Secure multi-party quantum computation (MPQC) protocol is a cryptographic primitive allowing error-free distributed quantum computation to a group of $n$ mutually distrustful quantum nodes even when some quantum nodes disobey the…

Quantum Physics · Physics 2024-11-18 Petr A. Mishchenko , Keita Xagawa

In this paper, we propose a new method for constructing $1$-perfect mixed codes in the Cartesian product $\mathbb{F}_{n} \times \mathbb{F}_{q}^n$, where $\mathbb{F}_{n}$ and $\mathbb{F}_{q}$ are finite fields of orders $n = q^m$ and $q$. We…

Information Theory · Computer Science 2023-12-27 Alexander M. Romanov

We pursue the question how integers can be ordered or partitioned according to their divisibility properties. Based on pseudometrics on $\mathbb{Z}$, we investigate induced preorders, associated equivalence relations, and quotient sets. The…

Number Theory · Mathematics 2026-04-16 Mario Ziller

Non-malleable coding, introduced by Dziembowski, Pietrzak and Wichs (ICS 2010), aims for protecting the integrity of information against tampering attacks in situations where error-detection is impossible. Intuitively, information encoded…

Information Theory · Computer Science 2014-09-01 Mahdi Cheraghchi , Venkatesan Guruswami

It has been shown recently that cryptographic trilinear maps are sufficient for achieving indistinguishability obfuscation. In this paper we develop algebraic blinding techniques for constructing such maps. An earlier approach involving…

Cryptography and Security · Computer Science 2020-04-22 Ming-Deh A. Huang

We study the group test for DNA library screening based on probabilistic approach. Group test is a method of detecting a few positive items from among a large number of items, and has wide range of applications. In DNA library screening,…

Computation · Statistics 2010-04-27 Takafumi Kanamori , Hiroaki Uehara , Masakazu Jimbo

We study the task of encryption with certified deletion (ECD) introduced by Broadbent and Islam (2020), but in a device-independent setting: we show that it is possible to achieve this task even when the honest parties do not trust their…

Quantum Physics · Physics 2023-07-12 Srijita Kundu , Ernest Y. -Z. Tan