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We study black-box reductions from mechanism design to algorithm design for welfare maximization in settings of incomplete information. Given oracle access to an algorithm for an underlying optimization problem, the goal is to simulate an…

Computer Science and Game Theory · Computer Science 2019-06-27 Evangelia Gergatsouli , Brendan Lucier , Christos Tzamos

One can fix the randomness used by a randomized algorithm, but there is no analogous notion of fixing the quantumness used by a quantum algorithm. Underscoring this fundamental difference, we show that, in the black-box setting, the…

Computational Complexity · Computer Science 2024-04-26 Scott Aaronson , DeVon Ingram , William Kretschmer

The pseudo-random number generators (PRNGs), sampling algorithms, and algorithms for generating random integers in some common statistical packages and programming languages are unnecessarily inaccurate, by an amount that may matter for…

Computation · Statistics 2018-10-29 Philip B. Stark , Kellie Ottoboni

In the present paper we describe new heuristic technique, which can be applied to the optimization of pseudo-Boolean functions including Black-Box functions. This technique is based on a simple procedure which consists in transition from…

Neural and Evolutionary Computing · Computer Science 2019-08-05 Alexander A. Semenov

Post-quantum cryptography studies the security of classical, i.e. non-quantum cryptographic protocols against quantum attacks. Until recently, the considered adversaries were assumed to use quantum computers and behave like classical…

Cryptography and Security · Computer Science 2013-07-16 Maria Velema

Randomness is a fundamental feature in nature and a valuable resource for applications ranging from cryptography and gambling to numerical simulation of physical and biological systems. Random numbers, however, are difficult to characterize…

Internet of Things is an ecosystem of interconnected devices that are accessible through the internet. The recent research focuses on adding more smartness and intelligence to these edge devices. This makes them susceptible to various kinds…

While it is well known that a Turing machine equipped with the ability to flip a fair coin cannot compute more that a standard Turing machine, we show that this is not true for a biased coin. Indeed, any oracle set $X$ may be coded as a…

Other Computer Science · Computer Science 2007-05-23 Toby Ord , Tien D. Kieu

In his seminal work on recording quantum queries [Crypto 2019], Zhandry studied interactions between quantum query algorithms and the quantum oracle corresponding to random functions. Zhandry presented a framework for interpreting various…

Quantum Physics · Physics 2022-01-21 Ansis Rosmanis

The problem of constructing hazard-free Boolean circuits dates back to the 1940s and is an important problem in circuit design. Our main lower-bound result unconditionally shows the existence of functions whose circuit complexity is…

Computational Complexity · Computer Science 2021-01-01 Christian Ikenmeyer , Balagopal Komarath , Christoph Lenzen , Vladimir Lysikov , Andrey Mokhov , Karteek Sreenivasaiah

We consider a generalization of the standard oracle model in which the oracle acts on the target with a permutation selected according to internal random coins. We describe several problems that are impossible to solve classically but can…

Quantum Physics · Physics 2013-10-09 Aram W. Harrow , David J. Rosenbaum

We propose a black-box approach to reducing large semidefinite programs to a set of smaller semidefinite programs by projecting to random linear subspaces. We evaluate our method on a set of polynomial optimization problems, demonstrating…

Optimization and Control · Mathematics 2025-09-17 Etienne Buehrle , Christoph Stiller

The field of device-independent quantum cryptography has seen enormous success in the past several years, including security proofs for key distribution and random number generation that account for arbitrary imperfections in the devices…

Quantum Physics · Physics 2018-05-11 Carl A. Miller

While one-way functions (OWFs) serve as the minimal assumption for computational cryptography in the classical setting, in quantum cryptography, we have even weaker cryptographic assumptions such as pseudo-random states, and EFI pairs,…

Quantum Physics · Physics 2025-04-22 Alex B. Grilo , Álvaro Yángüez

Ring signatures are a powerful primitive that allows a member to sign on behalf of a group, without revealing their identity. Recently, ring signatures have received additional attention as an ingredient for post-quantum deniable…

Cryptography and Security · Computer Science 2026-02-19 Marvin Beckmann , Christian Majenz

A probabilistic version of the Bernstein-Vazirani problem (which is a generalization of the original Bernstein-Vazirani problem) and a quantum algorithm to solve it are proposed. The problem involves finding one or more secret keys from a…

Quantum Physics · Physics 2025-06-09 Alok Shukla , Prakash Vedula

Successful realization of Bell tests has settled an 80-year-long debate, proving the existence of correlations which cannot be explained by a local realistic model. Recent experimental progress allowed to rule out any possible loopholes in…

Mochon's proof [Moc07] of existence of quantum weak coin flipping with arbitrarily small bias is a fundamental result in quantum cryptography, but at the same time one of the least understood. Though used several times as a black box in…

Quantum Physics · Physics 2014-03-03 Dorit Aharonov , André Chailloux , Maor Ganz , Iordanis Kerenidis , Loïck Magnin

Despite the success of neural networks (NNs), there is still a concern among many over their "black box" nature. Why do they work? Here we present a simple analytic argument that NNs are in fact essentially polynomial regression models.…

Machine Learning · Computer Science 2019-04-11 Xi Cheng , Bohdan Khomtchouk , Norman Matloff , Pete Mohanty

We initiate a study of locally decodable codes with randomized encoding. Standard locally decodable codes are error correcting codes with a deterministic encoding function and a randomized decoding function, such that any desired message…

Information Theory · Computer Science 2020-01-14 Kuan Cheng , Xin Li , Yu Zheng