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We provide the first evidence for the inherent difficulty of finding complex sets with optimal proof systems. For this, we construct oracles $O_1$ and $O_2$ with the following properties, where $\mathrm{RE}$ denotes the class of recursively…

Computational Complexity · Computer Science 2025-07-03 Fabian Egidy , Christian Glaßer

It is shown that an existing method to study ideal individual attacks on the BB84 QKD protocol using error discard can be adapted to reconciliation with error correction, and that an optimal attack can be explicitly found. Moreover, this…

Quantum Physics · Physics 2008-01-23 I. Herbauts , S. Bettelli , H. Hübel , M. Peev

Uncloneable encryption is a cryptographic primitive which encrypts a classical message into a quantum ciphertext, such that two quantum adversaries are limited in their capacity of being able to simultaneously decrypt, given the key and…

Quantum Physics · Physics 2024-10-31 Pierre Botteron , Anne Broadbent , Eric Culf , Ion Nechita , Clément Pellegrini , Denis Rochette

Large-scale quantum computing is a significant threat to classical public-key cryptography. In strong "quantum access" security models, numerous symmetric-key cryptosystems are also vulnerable. We consider classical encryption in a model…

Quantum Physics · Physics 2021-05-14 Gorjan Alagic , Stacey Jeffery , Maris Ozols , Alexander Poremba

Strongly unforgeable signature schemes provide a more stringent security guarantee than the standard existential unforgeability. It requires that not only forging a signature on a new message is hard, it is infeasible as well to produce a…

Quantum Physics · Physics 2015-09-11 Edward Eaton , Fang Song

In this paper, we consider reachability oracles and reachability preservers for directed graphs/networks prone to edge/node failures. Let $G = (V, E)$ be a directed graph on $n$-nodes, and $P\subseteq V\times V$ be a set of vertex pairs in…

Data Structures and Algorithms · Computer Science 2021-10-25 Diptarka Chakraborty , Kushagra Chatterjee , Keerti Choudhary

Secure key distribution among two remote parties is impossible when both are classical, unless some unproven (and arguably unrealistic) computation-complexity assumptions are made, such as the difficulty of factorizing large numbers. On the…

Quantum Physics · Physics 2011-11-01 Michel Boyer , Ran Gelles , Dan Kenigsberg , Tal Mor

Recovering the underlying clustering of a set $U$ of $n$ points by asking pair-wise same-cluster queries has garnered significant interest in the last decade. Given a query $S \subset U$, $|S|=2$, the oracle returns yes if the points are in…

Data Structures and Algorithms · Computer Science 2025-04-16 Hadley Black , Euiwoong Lee , Arya Mazumdar , Barna Saha

Achieving agreement among distributed parties is a fundamental task in modern systems, underpinning applications such as consensus in blockchains, coordination in cloud infrastructure, and fault tolerance in critical services. However, this…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-18 Andrei Constantinescu , Marc Dufay , Anton Paramonov , Roger Wattenhofer

Bilevel optimization problems, which are problems where two optimization problems are nested, have more and more applications in machine learning. In many practical cases, the upper and the lower objectives correspond to empirical risk…

Machine Learning · Statistics 2024-12-03 Mathieu Dagréou , Thomas Moreau , Samuel Vaiter , Pierre Ablin

Smart contract-enabled blockchains allow building decentralized applications in which mutually-distrusted parties can work together. Recently, oracle services emerged to provide these applications with real-world data feeds. Unfortunately,…

Computer Science and Game Theory · Computer Science 2021-12-24 Z. Motaqy , G. Almashaqbeh , B. Bahrak , N. Yazdani

We consider the fundamental problem of prediction with expert advice where the experts are "optimizable": there is a black-box optimization oracle that can be used to compute, in constant time, the leading expert in retrospect at any point…

Machine Learning · Computer Science 2016-01-28 Elad Hazan , Tomer Koren

The main promise of quantum computing is to efficiently solve certain problems that are prohibitively expensive for a classical computer. Most problems with a proven quantum advantage involve the repeated use of a black box, or oracle,…

We consider the source model key agreement problem involving two legitimate parties and an eavesdropper who observe n i.i.d. samples of X, Y, and Z, respectively. In this paper, we focus on one of the simplest instances where the key…

Information Theory · Computer Science 2025-08-21 Hamidreza Abin , Amin Gohari

In this paper we show that, using only mild assumptions, previously proposed multidimensional blockchain fee markets are essentially optimal, even against worst-case adversaries. In particular, we show that the average welfare gap between…

Computer Science and Game Theory · Computer Science 2024-05-21 Guillermo Angeris , Theo Diamandis , Ciamac Moallemi

The limitation with smart contracts is that they cannot access external data which might be required to control the execution of business logic. Oracles can be used to provide external data to smart contracts. An oracle is an interface that…

Cryptography and Security · Computer Science 2020-07-16 Abdeljalil Beniiche

In this paper, we consider the average age minimization problem where a central entity schedules M users among the N available users for transmission over unreliable channels. It is well-known that obtaining the optimal policy, in this…

Information Theory · Computer Science 2020-01-14 Ali Maatouk , Saad Kriouile , Mohamad Assaad , Anthony Ephremides

We consider the online machine minimization problem in which jobs with hard deadlines arrive online over time at their release dates. The task is to determine a feasible schedule on a minimum number of machines. Our main result is a general…

Data Structures and Algorithms · Computer Science 2015-06-19 Lin Chen , Nicole Megow , Kevin Schewior

We experimentally implemented an eavesdropping attack against the Ekert protocol for quantum key distribution based on the Wigner inequality. We demonstrate a serious lack of security of this protocol when the eavesdropper gains total…

Quantum Physics · Physics 2009-11-10 F. A. Bovino , A. M. Colla , G. Castagnoli , S. Castelletto , I. P. Degiovanni , M. L. Rastello

We study the problem of opportunistic approachability: a generalization of Blackwell approachability where the learner would like to obtain stronger guarantees (i.e., approach a smaller set) when their adversary limits themselves to a…

Machine Learning · Computer Science 2026-02-26 Teodor Vanislavov Marinov , Mehryar Mohri , Princewill Okoroafor , Jon Schneider , Julian Zimmert