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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

This paper explores how zero-knowledge proofs can enhance Bitcoin's functionality and privacy. First, we consider Proof-of-Reserve schemes: by using zk-STARKs, a custodian can prove its Bitcoin holdings are more than a predefined threshold…

Cryptography and Security · Computer Science 2025-07-30 Yusuf Ozmiş

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…

This paper presents a fast and effective computer algebraic method for analyzing and verifying non-linear integer arithmetic circuits using a novel algebraic spectral model. It introduces a concept of algebraic spectrum, a numerical form of…

Symbolic Computation · Computer Science 2019-01-11 Cunxi Yu , Tiankai Su , Atif Yasin , Maciej Ciesielski

Zero-knowledge proof (ZKP) provers remain costly because multi-scalar multiplication (MSM) and number-theoretic transforms (NTTs) dominate runtime as they need significant computation. AI ASICs such as TPUs provide massive matrix throughput…

Hardware Architecture · Computer Science 2026-04-21 Jianming Tong , Jingtian Dang , Simon Langowski , Tianhao Huang , Asra Ali , Jeremy Kun , Jevin Jiang , Srinivas Devadas , Tushar Krishna

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

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

Over recent decades, machine learning has significantly advanced network communication, enabling improved decision-making, user behavior analysis, and fault detection. Decentralized approaches, where participants exchange computation…

Machine Learning · Computer Science 2025-04-22 Zhibo Xing , Zijian Zhang , Ziang Zhang , Zhen Li , Meng Li , Jiamou Liu , Zongyang Zhang , Yi Zhao , Qi Sun , Liehuang Zhu , Giovanni Russello

-Wireless body area network(WBAN) has shown great potential in improving healthcare quality not only for patients but also for medical staff. However, security and privacy are still an important issue in WBANs especially in multi-hop…

Cryptography and Security · Computer Science 2016-02-03 Nesrine Khernane , Maria Potop-Butucaru , Claude Chaudet

We analyse how the standard reductions between constraint satisfaction problems affect their proof complexity. We show that, for the most studied propositional, algebraic, and semi-algebraic proof systems, the classical constructions of…

Computational Complexity · Computer Science 2018-09-26 Albert Atserias , Joanna Ochremiak

This paper studies the problem of Zero-Knowledge Protocol (ZKP) and elliptic curve cryptographic implementation in a computationally limited environment, such as, the smart cards, using Java Card. Besides that, it is explained how the…

Cryptography and Security · Computer Science 2023-09-01 Carlos Andres Agudelo Serna

Post-quantum signature schemes impose kilobyte-scale on-chain artifacts. Verifying them inside ZK circuits merely relocates the cost via expensive lattice arithmetic in prover circuits. We present ZK-ACE (Zero-Knowledge Authorization for…

Cryptography and Security · Computer Science 2026-05-29 Jian Sheng Wang

We introduce a new algebraic proof system, which has tight connections to (algebraic) circuit complexity. In particular, we show that any super-polynomial lower bound on any Boolean tautology in our proof system implies that the permanent…

Computational Complexity · Computer Science 2014-04-16 Joshua A. Grochow , Toniann Pitassi

Since the concern of privacy leakage extremely discourages user participation in sharing data, federated learning has gradually become a promising technique for both academia and industry for achieving collaborative learning without leaking…

Cryptography and Security · Computer Science 2023-04-25 Zhibo Xing , Zijian Zhang , Meng Li , Jiamou Liu , Liehuang Zhu , Giovanni Russello , Muhammad Rizwan Asghar

Recent advances in artificial intelligence (AI), particularly deep learning, have led to widespread adoption across various applications. Yet, a fundamental challenge persists: how can we verify the correctness of AI model inference when…

Cryptography and Security · Computer Science 2025-11-26 Yunxiao Wang

In this study, we introduce a novel zero-knowledge identification scheme based on the hardness of the subgroup distance problem in the Hamming metric. The proposed protocol, named Subgroup Distance Zero Knowledge Proof (SDZKP), employs a…

Cryptography and Security · Computer Science 2024-08-02 Cansu Betin Onur

Zero-knowledge virtual machines (zkVMs) are increasingly deployed in decentralized applications and blockchain rollups since they enable verifiable off-chain computation. These VMs execute general-purpose programs, frequently written in…

Software Engineering · Computer Science 2025-09-16 Christoph Hochrainer , Valentin Wüstholz , Maria Christakis

Multiple sequence alignment (MSA) is a fundamental algorithm in bioinformatics. In a situation when the alignment might need to be protected while revealing the other information such the input sequences and the alignment score, zero…

Cryptography and Security · Computer Science 2024-05-01 Worasait Suwannik

Streaming interactive proofs (SIPs) enable a space-bounded algorithm with one-pass access to a massive stream of data to verify a computation that requires large space, by communicating with a powerful but untrusted prover. This work…

Computational Complexity · Computer Science 2024-05-28 Graham Cormode , Marcel Dall'Agnol , Tom Gur , Chris Hickey

Zero-knowledge virtual machines (zkVMs) are a key technology for driving the large-scale adoption of zero-knowledge proofs (ZKP), but their performance bottlenecks severely limit their practicality. While current hardware acceleration…

Hardware Architecture · Computer Science 2026-05-27 Jieran Cui , Zhengkai Wen , Haowen Fang , Yinan Zhu , Jia Xiong , Cheng Ni , Mingchi Zhang , Nan Guan , Xi Wang