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We give novel lifting theorems for security games in the quantum random oracle model (QROM) in Noisy Intermediate-Scale Quantum (NISQ) settings such as the hybrid query model, the noisy oracle and the bounded-depth models. We provide, for…

Quantum Physics · Physics 2025-09-15 Alexandru Cojocaru , Juan Garay , Qipeng Liu , Fang Song

In this work, we derive the first lifting theorems for establishing security in the quantum random permutation and ideal cipher models. These theorems relate the success probability of an arbitrary quantum adversary to that of a classical…

Quantum Physics · Physics 2025-04-28 Alexandru Cojocaru , Minki Hhan , Qipeng Liu , Takashi Yamakawa , Aaram Yun

We study the (quantum) security of pseudorandom generators (PRGs) constructed from random oracles. We prove a "lifting theorem" showing, roughly, that if such a PRG is unconditionally secure against classical adversaries making polynomially…

Cryptography and Security · Computer Science 2025-06-02 Jonathan Katz , Ben Sela

Complex cryptographic protocols are often constructed from simpler building-blocks. In order to advance quantum cryptography, it is important to study practical building-blocks that can be used to develop new protocols. An example is…

Quantum Physics · Physics 2016-06-15 Juan Miguel Arrazola , Markos Karasamanis , Norbert Lütkenhaus

The random oracle model (ROM) enjoys widespread popularity, mostly because it tends to allow for tight and conceptually simple proofs where provable security in the standard model is elusive or costly. While being the adequate replacement…

Quantum Physics · Physics 2022-01-28 Alex B. Grilo , Kathrin Hövelmanns , Andreas Hülsing , Christian Majenz

We introduce quantitative reductions, a novel technique for structuring the space of quantitative games and solving them that does not rely on a reduction to qualitative games. We show that such reductions exhibit the same desirable…

Computer Science and Game Theory · Computer Science 2020-03-25 Alexander Weinert

We investigate query-to-communication lifting theorems for models related to the quantum adversary bounds. Our results are as follows: 1. We show that the classical adversary bound lifts to a lower bound on randomized communication…

Quantum Physics · Physics 2020-12-08 Anurag Anshu , Shalev Ben-David , Srijita Kundu

We quantize prisoners dilemma and chicken game by our generalized quantization scheme to explore the role of quantum discord in quantum games. In order to establish this connection we use Werner-like state as an initial state of the game.…

Quantum Physics · Physics 2015-03-17 Ahmad Nawaz , A. H. Toor

We introduce quantitative reductions, a novel technique for structuring the space of quantitative games and solving them that does not rely on a reduction to qualitative games. We show that such reductions exhibit the same desirable…

Computer Science and Game Theory · Computer Science 2018-09-12 Alexander Weinert

Matter, especially DNA, is now programmed to carry out useful processes at the nanoscale. As these programs and processes become more complex and their envisioned safety-critical applications approach deployment, it is essential to develop…

Computer Science and Game Theory · Computer Science 2019-02-19 Jack H. Lutz , Neil Lutz , Robyn R. Lutz , Matthew R. Riley

Coding theory revolves around the incorporation of redundancy into transmitted symbols, computation tasks, and stored data to guard against adversarial manipulation. However, error correction in coding theory is contingent upon a strict…

Information Theory · Computer Science 2025-12-24 Hanzaleh Akbari Nodehi , Viveck R. Cadambe , Mohammad Ali Maddah-Ali

Game-playing proofs constitute a powerful framework for non-quantum cryptographic security arguments, most notably applied in the context of indifferentiability. An essential ingredient in such proofs is lazy sampling of random primitives.…

Quantum Physics · Physics 2021-05-14 Jan Czajkowski , Christian Majenz , Christian Schaffner , Sebastian Zur

Compiling Bell games under cryptographic assumptions replaces the need for physical separation, allowing nonlocality to be probed with a single untrusted device. While Kalai et al. (STOC'23) showed that this compilation preserves quantum…

We propose a simple yet rich model to extend the notions of Nash equilibria and correlated equilibria of strategic games to the quantum setting, in which we then study the relations between classical and quantum equilibria. Unlike the…

Quantum Physics · Physics 2015-03-17 Shengyu Zhang

We give a converging semidefinite programming hierarchy of outer approximations for the set of quantum correlations of fixed dimension and derive analytical bounds on the convergence speed of the hierarchy. In particular, we give a…

Quantum Physics · Physics 2021-07-05 Hyejung H. Jee , Carlo Sparaciari , Omar Fawzi , Mario Berta

Long studied as a toy model, quantum zero-sum games have recently resurfaced as a canonical playground for modern areas such as non-local games, quantum interactive proofs, and quantum machine learning. In this simple yet fundamental…

Computer Science and Game Theory · Computer Science 2025-09-29 Yiheng Su , Emmanouil-Vasileios Vlatakis-Gkaragkounis , Pucheng Xiong

We study strategic interaction in data-driven games where players face uncertainty about payoff distributions inferred from finite samples. To model calibrated attitudes toward such uncertainty, we formulate distributionally robust games…

Computer Science and Game Theory · Computer Science 2026-05-28 Bharat Gangwani , Arunesh Sinha

Quantum error correction code discovery has relied on algebraic constructions with predetermined structure or computational search lacking mechanistic interpretability. We introduce a game-theoretic framework recasting code optimization as…

Quantum Physics · Physics 2026-05-28 Rubén Darío Guerrero

This paper develops and analyses a novel quantum combinatorial game: quantum checkers (codenamed Cheqqers). The concepts of superposition, entanglement, measurements and interference from quantum mechanics are integrated into the game of…

A query game is a pair of a set $Q$ of queries and a set $\mathcal{F}$ of functions, or codewords $f:Q\rightarrow \mathbb{Z}.$ We think of this as a two-player game. One player, Codemaker, picks a hidden codeword $f\in \mathcal{F}$. The…

Combinatorics · Mathematics 2023-07-11 Anders Martinsson
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