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Protecting secrets is a key challenge in our contemporary information-based era. In common situations, however, revealing secrets appears unavoidable, for instance, when identifying oneself in a bank to retrieve money. In turn, this may…

Cryptography and Security · Computer Science 2022-02-17 Pouriya Alikhani , Nicolas Brunner , Claude Crépeau , Sébastien Designolle , Raphaël Houlmann , Weixu Shi , Nan Yang , Hugo Zbinden

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

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

We present the first constructions of single-prover proof systems that achieve perfect zero knowledge (PZK) for languages beyond NP, under no intractability assumptions: 1. The complexity class #P has PZK proofs in the model of Interactive…

Computational Complexity · Computer Science 2016-10-13 Eli Ben-Sasson , Alessandro Chiesa , Michael A. Forbes , Ariel Gabizon , Michael Riabzev , Nicholas Spooner

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

Foundational results in theoretical computer science have established that everything provable, is provable in zero knowledge. However, this assertion fundamentally assumes a classical interpretation of computation and many interesting…

Quantum Physics · Physics 2025-10-09 Giulio Malavolta

Zero-Knowledge Proofs (ZKPs) are a cryptographic primitive that allows a prover to demonstrate knowledge of a secret value to a verifier without revealing anything about the secret itself. ZKPs have shown to be an extremely powerful tool,…

Cryptography and Security · Computer Science 2025-04-29 Nojan Sheybani , Anees Ahmed , Michel Kinsy , Farinaz Koushanfar

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

Zero-knowledge proofs are mathematical cryptographic methods to demonstrate the validity of a claim while providing no further information beyond the claim itself. The possibility of using such proofs to process classified and other…

Instrumentation and Detectors · Physics 2016-12-02 Sébastien Philippe , Robert J. Goldston , Alexander Glaser , Francesco d'Errico

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

In multi-prover interactive proofs (MIPs), the verifier is usually non-adaptive. This stems from an implicit problem which we call ``contamination'' by the verifier. We make explicit the verifier contamination problem, and identify a…

Quantum Physics · Physics 2019-03-19 Claude Crépeau , Nan Yang

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

Zero-knowledge proof system is an important protocol that can be used as a basic block for construction of other more complex cryptographic protocols. An intrinsic characteristic of a zero-knowledge systems is the assumption that is…

Quantum Physics · Physics 2007-05-23 Jose Claudio do Nascimento , Rubens Viana Ramos

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

In a proof of knowledge (PoK), a verifier becomes convinced that a prover possesses privileged information. In combination with zero-knowledge proof systems, PoKs play an important role in security protocols such as in digital signatures…

Quantum Physics · Physics 2025-06-17 Anne Broadbent , Alex B. Grilo , Nagisa Hara , Arthur Mehta

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…

In this work we consider the interplay between multiprover interactive proofs, quantum entanglement, and zero knowledge proofs - notions that are central pillars of complexity theory, quantum information and cryptography. In particular, we…

Quantum Physics · Physics 2019-05-28 Alex B. Grilo , William Slofstra , Henry Yuen

NuLink provides privacy-preserving technology for decentralized applications via APIs. Users can securely store its valuable data, trade with others and so on. To ensure the privacy and security of service provided by NuLink,…

Cryptography and Security · Computer Science 2024-01-09 Pawn , Rookie , Zhuan Cheng

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

As statistical analyses become more central to science, industry and society, there is a growing need to ensure correctness of their results. Approximate correctness can be verified by replicating the entire analysis, but can we verify…

Computational Complexity · Computer Science 2024-09-11 Tal Herman , Guy Rothblum
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