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Quantum information and computation provide a fascinating twist on the notion of proofs in computational complexity theory. For instance, one may consider a quantum computational analogue of the complexity class \class{NP}, known as QMA, in…

Quantum Physics · Physics 2016-10-07 Thomas Vidick , John Watrous

We propose the first generalization of the famous Non-Interactive Zero-Knowledge (NIZK) proofs to quantum languages (NIZKoQS) and we provide a protocol to prove advanced properties on a received quantum state non-destructively and…

Quantum Physics · Physics 2025-12-11 Léo Colisson , Frédéric Grosshans , Elham Kashefi

Zero-knowledge (ZK) protocols enable software developers to provide proofs of their programs' correctness to other parties without revealing the programs themselves. Regular expressions are pervasive in real-world software, and…

Cryptography and Security · Computer Science 2025-04-03 John Kolesar , Shan Ali , Timos Antonopoulos , Ruzica Piskac

In quantum zero knowledge, the assumption was made that the verifier is only using unitary operations. Under this assumption, many nice properties have been shown about quantum zero knowledge, including the fact that Honest-Verifier Quantum…

Quantum Physics · Physics 2008-10-27 André Chailloux , Iordanis Kerenidis

Machine learning is increasingly deployed through outsourced and cloud-based pipelines, which improve accessibility but also raise concerns about computational integrity, data privacy, and model confidentiality. Zero-knowledge proofs (ZKPs)…

Cryptography and Security · Computer Science 2026-03-31 Zhizhi Peng , Chonghe Zhao , Taotao Wang , Guofu Liao , Zibin Lin , Yifeng Liu , Bin Cao , Long Shi , Qing Yang , Shengli Zhang

This paper introduces quantum analogues of non-interactive perfect and statistical zero-knowledge proof systems. Similar to the classical cases, it is shown that sharing randomness or entanglement is necessary for non-trivial protocols of…

Quantum Physics · Physics 2007-05-23 Hirotada Kobayashi

The round complexity of interactive proof systems is a key question of practical and theoretical relevance in complexity theory and cryptography. Moreover, results such as QIP = QIP(3) (STOC'00) show that quantum resources significantly…

Quantum Physics · Physics 2024-05-29 Alex B. Grilo , Philippe Lamontagne

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

Zero-knowledge proofs (ZKPs) have emerged as a promising solution to address the scalability challenges in modern blockchain systems. This study proposes a methodology for generating and verifying ZKPs to ensure the computational integrity…

Cryptography and Security · Computer Science 2026-04-13 Oleksandr Kuznetsov , Anton Yezhov , Vladyslav Yusiuk , Kateryna Kuznetsova

Privacy concerns in machine learning systems have grown significantly with the increasing reliance on sensitive user data for training large-scale models. This paper introduces a novel framework combining Probably Approximately Correct…

Cryptography and Security · Computer Science 2026-02-13 Guilhem Repetto , Nojan Sheybani , Gabrielle De Micheli , Farinaz Koushanfar

We present ZK-SecreC, a domain-specific language for zero-knowledge proofs. We present the rationale for its design, its syntax and semantics, and demonstrate its usefulness on the basis of a number of non-trivial examples. The design…

We propose three constructions of classically verifiable non-interactive zero-knowledge proofs and arguments (CV-NIZK) for QMA in various preprocessing models. - We construct a CV-NIZK for QMA in the quantum secret parameter model where a…

Quantum Physics · Physics 2022-11-16 Tomoyuki Morimae , Takashi Yamakawa

A new interactive quantum zero-knowledge protocol for identity authentication implementable in currently available quantum cryptographic devices is proposed and demonstrated. The protocol design involves a verifier and a prover knowing a…

Zero-knowledge proofs (ZKPs) have evolved from a theoretical cryptographic concept into a powerful tool for implementing privacy-preserving and verifiable applications without requiring trust assumptions. Despite significant progress in the…

Cryptography and Security · Computer Science 2025-05-01 Stefanos Chaliasos , Imam Al-Fath , Alastair Donaldson

Ensuring the integrity of business processes without disclosing confidential business information is a major challenge in inter-organizational processes. This paper introduces a zero-knowledge proof (ZKP)-based approach for the verifiable…

Software Engineering · Computer Science 2025-09-25 Jannis Kiesel , Jonathan Heiss

The modern integrated circuit ecosystem is increasingly reliant on third-party intellectual property integration, which introduces security risks, including hardware Trojans and security vulnerabilities. Addressing the resulting trust…

Cryptography and Security · Computer Science 2026-04-13 Sirui Shen , Zunchen Huang , Chenglu Jin

Zero-knowledge proofs (ZKPs) are an emerging technology that has become the solution to efficiently provide security and privacy along with the transparency requirement of blockchains. ZKPs are usually expressed by means of arithmetic…

Logic in Computer Science · Computer Science 2026-04-30 Miguel Isabel , Enric Rodríguez-Carbonell , Clara Rodríguez-Núñez , Albert Rubio

We construct a publicly-verifiable non-interactive zero-knowledge argument system for QMA with the following properties. 1. Transparent setup. Our protocol only requires a uniformly random string (URS) setup. The only prior…

Quantum Physics · Physics 2025-11-27 James Bartusek , Ruta Jawale , Justin Raizes , Kabir Tomer

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

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