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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

A Zero-Knowledge Protocol (ZKP) allows one party to convince another party of a fact without disclosing any extra knowledge except the validity of the fact. For example, it could be used to allow a customer to prove their identity to a…

Quantum Physics · Physics 2023-04-20 Claude Crépeau , John Stuart

Relativistic cryptography is a proposal for achieving unconditional security that exploits the fact that no information carrier can travel faster than the speed of light. It is based on space-time constraints but doesn't require quantum…

Quantum Physics · Physics 2021-12-03 André Chailloux , Yann Barsamian

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

We prove that the class of communication problems with public-coin randomized constant-cost protocols, called $BPP^0$, does not contain a complete problem. In other words, there is no randomized constant-cost problem $Q \in BPP^0$, such…

Computational Complexity · Computer Science 2024-04-02 Yuting Fang , Lianna Hambardzumyan , Nathaniel Harms , Pooya Hatami

Many seminal results in Interactive Proofs (IPs) use algebraic techniques based on low-degree polynomials, the study of which is pervasive in theoretical computer science. Unfortunately, known methods for endowing such proofs with zero…

Computational Complexity · Computer Science 2017-04-10 Alessandro Chiesa , Michael A. Forbes , Nicholas Spooner

This paper studies the complexity classes QZK and HVQZK of problems having a quantum computational zero-knowledge proof system and an honest-verifier quantum computational zero-knowledge proof system, respectively. The results proved in…

Quantum Physics · Physics 2007-05-23 Hirotada Kobayashi

We examine the power of statistical zero knowledge proofs (captured by the complexity class SZK) and their variants. First, we give the strongest known relativized evidence that SZK contains hard problems, by exhibiting an oracle relative…

Computational Complexity · Computer Science 2017-05-10 Adam Bouland , Lijie Chen , Dhiraj Holden , Justin Thaler , Prashant Nalini Vasudevan

We show that for every polynomial q* there exist polynomial-size, constant-query, non-adaptive PCPs for NP which are perfect zero knowledge against (adaptive) adversaries making at most q* queries to the proof. In addition, we construct…

Computational Complexity · Computer Science 2024-11-13 Tom Gur , Jack O'Connor , Nicholas Spooner

Machine learning models are increasingly used in societal applications, yet legal and privacy concerns demand that they very often be kept confidential. Consequently, there is a growing distrust about the fairness properties of these models…

Machine Learning · Computer Science 2024-07-17 Chhavi Yadav , Amrita Roy Chowdhury , Dan Boneh , Kamalika Chaudhuri

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

Commonsense knowledge about everyday concepts is an important asset for AI applications, such as question answering and chatbots. Recently, we have seen an increasing interest in the construction of structured commonsense knowledge bases…

Artificial Intelligence · Computer Science 2022-09-07 Hiba Arnaout , Simon Razniewski , Gerhard Weikum , Jeff Z. Pan

Zero-knowledge proofs (ZKPs) are widely applied in digital economies, such as cryptocurrencies and smart contracts, for establishing trust and ensuring privacy between untrusted parties. However, almost all ZKPs rely on unproven…

This paper investigates the power of quantum statistical zero knowledge interactive proof systems in the relativized setting. We prove the existence of an oracle relative to which quantum statistical zero-knowledge does not contain UP…

Computational Complexity · Computer Science 2018-01-30 Sanketh Menda , John Watrous

While the amount of data produced and accumulated continues to advance at unprecedented rates, protection and concealment of data increase its prominence as a field of scientific study that requires more action. It is essential to protect…

Cryptography and Security · Computer Science 2023-02-14 Cansu Betin Onur

Efficient zero-knowledge proofs (ZKPs) have been restricted to NP statements so far, whereas they exist for all statements in PSPACE. This work presents the first practical zero-knowledge (ZK) protocols for PSPACE-complete statements by…

Cryptography and Security · Computer Science 2025-11-20 Ashwin Karthikeyan , Hengyu Liu , Kuldeep S. Meel , Ning Luo

Closed-source frontier labs do not disclose parameter counts, and the standard alternative -- inference economics -- carries $2\times$+ uncertainty from hardware, batching, and serving-stack assumptions external to the model. We exploit a…

Machine Learning · Computer Science 2026-04-29 Bojie Li

Zero-knowledge and multi-prover systems are both central notions in classical and quantum complexity theory. There is, however, little research in quantum multi-prover zero-knowledge systems. This paper studies complexity-theoretical…

Quantum Physics · Physics 2019-03-01 Yusuke Kinoshita

In the thesis we focus on designing an authentication system to authenticate users over a network with a username and a password. The system uses the zero-knowledge proof (ZKP) system as a password verification mechanism. The ZKP protocol…

Cryptography and Security · Computer Science 2022-05-13 Jakob Povsic , Andrej Brodnik

Zero-knowledge proof (ZKP) is a fundamental cryptographic primitive that allows a prover to convince a verifier of the validity of a statement without leaking any further information. As an efficient variant of ZKP, non-interactive…