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We construct perfect zero-knowledge probabilistically checkable proofs (PZK-PCPs) for every language in #P. This is the first construction of a PZK-PCP for any language outside BPP. Furthermore, unlike previous constructions of…

Computational Complexity · Computer Science 2024-03-20 Tom Gur , Jack O'Connor , Nicholas Spooner

Zero-knowledge proofs (ZKPs) are the cornerstone of programmable cryptography. They enable (1) privacy-preserving and verifiable computation across blockchains, and (2) an expanding range of off-chain applications such as credential…

Performance · Computer Science 2026-01-23 Thomas Gassmann , Stefanos Chaliasos , Thodoris Sotiropoulos , Zhendong Su

Zero-Knowledge Proofs (ZKPs) are critical for privacy-preserving techniques and verifiable computation. Many ZKP protocols rely on key kernels such as the SumCheck protocol and Merkle Tree commitments to enable their key security…

Hardware Architecture · Computer Science 2025-10-21 Jianqiao Mo , Alhad Daftardar , Joey Ah-Kiow , Kaiyue Guo , Benedikt Bünz , Siddharth Garg , Brandon Reagen

This paper presents a new method for quantum identity authentication (QIA) protocols. The logic of classical zero-knowledge proofs (ZKPs) due to Schnorr is applied in quantum circuits and algorithms. This novel approach gives an exact way…

Quantum Physics · Physics 2023-08-08 Mark Carney

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…

Collision-resistant, cryptographic hash (CRH) functions have long been an integral part of providing security and privacy in modern systems. Certain constructions of zero-knowledge proof (ZKP) protocols aim to utilize CRH functions to…

Cryptography and Security · Computer Science 2024-11-12 Anees Ahmed , Nojan Sheybani , Davi Moreno , Nges Brian Njungle , Tengkai Gong , Michel Kinsy , Farinaz Koushanfar

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

Recent advances in the cryptographic field of "Zero-Knowledge Proofs" have sparked a new wave of research, giving birth to many exciting theoretical approaches in the last few years. Such research has often overlapped with the need for…

Cryptography and Security · Computer Science 2019-09-04 Mario Alessandro Barbara

Zero-knowledge succinct non-interactive argument of knowledge (zkSNARK) allows a party, known as the prover, to convince another party, known as the verifier, that he knows a private value $v$, without revealing it, such that $F(u,v)=y$ for…

Cryptography and Security · Computer Science 2021-03-03 Ali Rahimi , Mohammad Ali Maddah-Ali

This paper proposes a protocol for Proof of Assets of a bitcoin exchange using the Zero-Knowledge Succinct Non-Interactive Argument of Knowledge (ZK-SNARK) without revealing either the bitcoin addresses of the exchange or balances…

Cryptography and Security · Computer Science 2022-11-14 B Swaroopa Reddy

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

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

Zero-knowledge proofs (ZKP) are becoming a gold standard in scaling blockchains and bringing Web3 to life. At the same time, ZKP for transactions running on the Ethereum Virtual Machine require powerful servers with hundreds of CPU cores.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-12 Dumitrel Loghin , Shuang Liang , Shengwei Liu , Xiong Liu , Pingcheng Ruan , Zhigang Ye

In database applications involving sensitive data, the dual imperatives of data confidentiality and provable query processing are important. This paper introduces PoneglyphDB, a database system that leverages non-interactive zero-knowledge…

Databases · Computer Science 2024-11-25 Binbin Gu , Juncheng Fang , Faisal Nawab

We consider a type of zero-knowledge protocols that are of interest for their practical applications within networks like the Internet: efficient zero-knowledge arguments of knowledge that remain secure against concurrent man-in-the-middle…

Cryptography and Security · Computer Science 2007-05-23 Yi Deng , Giovanni Di Crescenzo , Dongdai Lin

The application of zero-knowledge proofs (ZKPs) in autonomous systems is an emerging area of research, motivated by the growing need for regulatory compliance, transparent auditing, and trustworthy operation in decentralized environments.…

Cryptography and Security · Computer Science 2026-03-30 Munawar Hasan , Apostol Vassilev , Edward Griffor , Thoshitha Gamage

This paper investigates the feasibility of achieving zero-knowledge verifiability for graph databases, enabling database owners to cryptographically prove the query execution correctness without disclosing the underlying data. Although…

Databases · Computer Science 2025-07-02 Hao Wu , Changzheng Wei , Yanhao Wang , Li Lin , Yilong Leng , Shiyu He , Minghao Zhao , Hanghang Wu , Ying Yan , Aoying Zhou

The ZH calculus is a graphical language for quantum computation reasoning. The phase-free variant offers a simple set of generators that guarantee universality. ZH calculus is effective in MBQC and analysis of quantum circuits constructed…

Quantum Physics · Physics 2024-04-18 Piotr Mitosek

An undirected graph $G$ is known to both the prover $P$ and the verifier $V$, but only $P$ knows a subgraph $H$ of $G$. Without revealing any information about $H$, $P$ wants to convince $V$ that $H$ is a connected spanning subgraph of $G$,…

Cryptography and Security · Computer Science 2021-10-14 Suthee Ruangwises , Toshiya Itoh

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