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Related papers: A Black-Box Approach to Post-Quantum Zero-Knowledg…

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We construct a constant-round zero-knowledge classical argument for NP secure against quantum attacks. We assume the existence of Quantum Fully-Homomorphic Encryption and other standard primitives, known based on the Learning with Errors…

Quantum Physics · Physics 2020-04-22 Nir Bitansky , Omri Shmueli

We investigate the existence of constant-round post-quantum black-box zero-knowledge protocols for $\mathbf{NP}$. As a main result, we show that there is no constant-round post-quantum black-box zero-knowledge argument for $\mathbf{NP}$…

Cryptography and Security · Computer Science 2021-06-15 Nai-Hui Chia , Kai-Min Chung , Qipeng Liu , Takashi Yamakawa

Zero-Knowledge (ZK) protocols have been intensely studied due to their fundamental importance and versatility. However, quantum information's inherent differences significantly alter the landscape, necessitating a re-examination of ZK…

Quantum Physics · Physics 2025-04-08 Nai-Hui Chia , Kai-Min Chung , Xiao Liang , Jiahui Liu

From the minimal assumption of post-quantum semi-honest oblivious transfers, we build the first $\epsilon$-simulatable two-party computation (2PC) against quantum polynomial-time (QPT) adversaries that is both constant-round and black-box…

Cryptography and Security · Computer Science 2023-11-07 Nai-Hui Chia , Kai-Min Chung , Xiao Liang , Takashi Yamakawa

In this work, we consider the long-standing open question of constructing constant-round concurrent zero-knowledge protocols in the plain model. Resolving this question is known to require non-black-box techniques. We consider non-black-box…

Cryptography and Security · Computer Science 2012-10-16 Divya Gupta , Amit Sahai

A major difficulty in quantum rewinding is the fact that measurement is destructive: extracting information from a quantum state irreversibly changes it. This is especially problematic in the context of zero-knowledge simulation, where…

Cryptography and Security · Computer Science 2021-11-25 Alex Lombardi , Fermi Ma , Nicholas Spooner

This paper proves that several interactive proof systems are zero-knowledge against quantum attacks. This includes a few well-known classical zero-knowledge proof systems as well as quantum interactive proof systems for the complexity class…

Quantum Physics · Physics 2007-05-23 John Watrous

In known constructions of classical zero-knowledge protocols for NP, either of zero-knowledge or soundness holds only against computationally bounded adversaries. Indeed, achieving both statistical zero-knowledge and statistical soundness…

Quantum Physics · Physics 2022-10-11 Taiga Hiroka , Tomoyuki Morimae , Ryo Nishimaki , Takashi Yamakawa

Prior work has established that all problems in NP admit classical zero-knowledge proof systems, and under reasonable hardness assumptions for quantum computations, these proof systems can be made secure against quantum attacks. We prove a…

Quantum Physics · Physics 2017-02-09 Anne Broadbent , Zhengfeng Ji , Fang Song , John Watrous

Let L be a language decided by a constant-round quantum Arthur-Merlin (QAM) protocol with negligible soundness error and all but possibly the last message being classical. We prove that if this protocol is zero knowledge with a black-box,…

Quantum Physics · Physics 2009-06-19 Rahul Jain , Alexandra Kolla , Gatis Midrijanis , Ben W. Reichardt

A proof is concurrent zero-knowledge if it remains zero-knowledge when many copies of the proof are run in an asynchronous environment, such as the Internet. It is known that zero-knowledge is not necessarily preserved in such an…

Cryptography and Security · Computer Science 2007-05-23 Joe Kilian , Erez Petrank , Ransom Richardson

We study the notion of zero-knowledge secure against quantum polynomial-time verifiers (referred to as quantum zero-knowledge) in the concurrent composition setting. Despite being extensively studied in the classical setting, concurrent…

Quantum Physics · Physics 2021-07-20 Prabhanjan Ananth , Kai-Min Chung , Rolando L. La Placa

A proof of quantumness is an efficiently verifiable interactive test that an efficient quantum computer can pass, but all efficient classical computers cannot (under some cryptographic assumption). Such protocols play a crucial role in the…

Quantum Physics · Physics 2024-05-27 Petia Arabadjieva , Alexandru Gheorghiu , Victor Gitton , Tony Metger

In this paper, we show that the zero-knowledge construction for Hamiltonian cycle remains secure against quantum adversaries in the relativistic setting. Our main technical contribution is a tool for studying the action of consecutive…

Quantum Physics · Physics 2022-07-13 André Chailloux , Anthony Leverrier

The traditional definition of quantum zero-knowledge stipulates that the knowledge gained by any quantum polynomial-time verifier in an interactive protocol can be simulated by a quantum polynomial-time algorithm. One drawback of this…

Quantum Physics · Physics 2022-10-13 Prabhanjan Ananth , Alex B. Grilo

We study the round complexity of secure multi-party computation (MPC) in the post-quantum regime. Our focus is on the fully black-box setting, where both the construction and security reduction are black-box. Chia, Chung, Liu, and Yamakawa…

Quantum Physics · Physics 2025-02-20 Rohit Chatterjee , Xiao Liang , Omkant Pandey , Takashi Yamakawa

We initiate the study of relativistic zero-knowledge quantum proof of knowledge systems with classical communication, formally defining a number of useful concepts and constructing appropriate knowledge extractors for all the existing…

Quantum Physics · Physics 2024-12-18 Kaiyan Shi , Kaushik Chakraborty , Wen Yu Kon , Omar Amer , Marco Pistoia , Charles Lim

The MPC-in-the-head technique (Ishai et al., STOC 2007) is a celebrated method to build zero-knowledge protocols with desirable theoretical properties and high practical efficiency. This technique has generated a large body of research and…

Quantum Physics · Physics 2025-07-01 Andrea Coladangelo , Ruta Jawale , Dakshita Khurana , Giulio Malavolta , Hendrik Waldner

We study non-interactive zero-knowledge proofs (NIZKs) for NP satisfying: 1) statistical soundness, 2) computational zero-knowledge and 3) certified-everlasting zero-knowledge (CE-ZK). The CE-ZK property allows a verifier of a quantum proof…

Quantum Physics · Physics 2026-02-13 Nikhil Pappu

We consider zero knowledge interactive proofs in a richer, more realistic communication environment. In this setting, one may simultaneously engage in many interactive proofs, and these proofs may take place in an asynchronous fashion. It…

Cryptography and Security · Computer Science 2007-05-23 Joe Kilian , Erez Petrank , Charles Rackoff
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