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Classical software verification and validation techniques, such as procedural audits, formal methods, or model documentation, are the traditional mechanisms used to achieve the verifiable accountability now required by regulations like the…

Achieving quantum computational advantage requires solving a classically intractable problem on a quantum device. Natural proposals rely upon the intrinsic hardness of classically simulating quantum mechanics; however, verifying the output…

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

Non-interactive zero-knowledge (NIZK) proofs of knowledge have proven to be highly relevant for securely realizing a wide array of applications that rely on both privacy and correctness. They enable a prover to convince any party of the…

Cryptography and Security · Computer Science 2024-07-30 Mohammed Alghazwi , Tariq Bontekoe , Leon Visscher , Fatih Turkmen

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

Distributed certification is a set of mechanisms that allows an all-knowing prover to convince the units of a communication network that the network's state has some desired property, such as being 3-colorable or triangle-free. Classical…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-12 Alex B. Grilo , Ami Paz , Mor Perry

Complexity class containments involving interactive proof classes are famously nonrelativizing: although $\mathsf{IP} = \mathsf{PSPACE}$, Fortnow and Sipser showed that that there exists an oracle relative to which $\mathsf{coNP}…

Quantum Physics · Physics 2026-04-15 Scott Aaronson , Anand Natarajan , Avishay Tal , Agi Villanyi

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

The central question in quantum multi-prover interactive proof systems is whether or not entanglement shared between provers affects the verification power of the proof system. We study for the first time positive aspects of prior…

Quantum Physics · Physics 2007-11-26 Julia Kempe , Hirotada Kobayashi , Keiji Matsumoto , Thomas Vidick

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

Zero-knowledge proofs (ZKPs) enable computational integrity and privacy by allowing one party to prove the truth of a statement without revealing underlying data. Compared with alternatives such as homomorphic encryption and secure…

Cryptography and Security · Computer Science 2026-04-14 Ryan Lavin , Xuekai Liu , Hardhik Mohanty , Logan Norman , Giovanni Zaarour , Bhaskar Krishnamachari

Zero-knowledge proofs (zk-Proofs) are communication protocols by which a prover can demonstrate to a verifier that it possesses a solution to a given public problem without revealing the content of the solution. Arbitrary computations can…

Cryptography and Security · Computer Science 2024-01-08 Armando Cruz

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

We show that if a language $L$ admits a public-coin unambiguous interactive proof (UIP) with round complexity $\ell$, where $a$ bits are communicated per round, then the batch language $L^{\otimes k}$, i.e. the set of $k$-tuples of…

Computational Complexity · Computer Science 2025-10-23 Bonnie Berger , Rohan Goyal , Matthew M. Hong , Yael Tauman Kalai

In this work we consider the following problem: in a Multi-Prover environment, how close can we get to prove the validity of an NP statement in Zero-Knowledge ? We exhibit a set of two novel Zero-Knowledge protocols for the 3-COLorability…

Quantum Physics · Physics 2019-12-20 Claude Crépeau , Arnaud Massenet , Louis Salvail , Lucas Stinchcombe , Nan Yang

Zero-knowledge proofs are an essential building block in many privacy-preserving systems. However, implementing these proofs is tedious and error-prone. In this paper, we present zksk, a well-documented Python library for defining and…

Cryptography and Security · Computer Science 2019-11-12 Wouter Lueks , Bogdan Kulynych , Jules Fasquelle , Simon Le Bail-Collet , Carmela Troncoso

This survey provides a comprehensive examination of verifiable computing, tracing its evolution from foundational complexity theory to modern zero-knowledge succinct non-interactive arguments of knowledge (ZK-SNARKs). We explore key…

Logic in Computer Science · Computer Science 2025-01-13 Angold Wang

Zero-knowledge proof system is an important protocol that can be used as a basic block for construction of other more complex cryptographic protocols. Quantum zero-knowledge protocols have been proposed but, since their implementation…

Quantum Physics · Physics 2008-01-07 Rubens Viana Ramos , Jose Claudio do Nascimento

In two-prover one-round interactive proof systems, no-signaling provers are those who are allowed to use arbitrary strategies, not limited to local operations, as long as their strategies cannot be used for communication between them. Study…

Computational Complexity · Computer Science 2009-10-20 Tsuyoshi Ito

We consider the problem of testing and learning from data in the presence of resource constraints, such as limited memory or weak data access, which place limitations on the efficiency and feasibility of testing or learning. In particular,…

Quantum Physics · Physics 2025-07-22 Matthias C. Caro , Jens Eisert , Marcel Hinsche , Marios Ioannou , Alexander Nietner , Ryan Sweke
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