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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…

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…

量子物理 · 物理学 2019-12-20 Claude Crépeau , Arnaud Massenet , Louis Salvail , Lucas Stinchcombe , Nan Yang

Zero-knowledge proofs allow verification of computations without revealing private information. However, existing systems require memory proportional to the computation size, which has historically limited use in large-scale applications…

密码学与安全 · 计算机科学 2025-09-18 Logan Nye

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…

量子物理 · 物理学 2008-01-07 Rubens Viana Ramos , Jose Claudio do Nascimento

Zero-Knowledge Proofs (ZKP) are protocols which construct cryptographic proofs to demonstrate knowledge of a secret input in a computation without revealing any information about the secret. ZKPs enable novel applications in private and…

分布式、并行与集群计算 · 计算机科学 2025-09-30 Tarunesh Verma , Yichao Yuan , Nishil Talati , Todd Austin

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…

计算复杂性 · 计算机科学 2016-10-13 Eli Ben-Sasson , Alessandro Chiesa , Michael A. Forbes , Ariel Gabizon , Michael Riabzev , Nicholas Spooner

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…

密码学与安全 · 计算机科学 2024-07-30 Mohammed Alghazwi , Tariq Bontekoe , Leon Visscher , Fatih Turkmen

The foundation of zero-knowledge is the simulator: a weak machine capable of pretending to be a weak verifier talking with all-powerful provers. To achieve this, simulators need some kind of advantage such as the knowledge of a trapdoor. In…

量子物理 · 物理学 2019-07-31 Claude Crépeau , Nan Yang

The MPC-in-the-head technique (Ishai et al., STOC 2007) is a celebrated method to build zero-knowledge protocols with desirable theoretical properties and high practical efficiency. This technique has generated a large body of research and…

量子物理 · 物理学 2025-07-01 Andrea Coladangelo , Ruta Jawale , Dakshita Khurana , Giulio Malavolta , Hendrik Waldner

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…

仪器与探测器 · 物理学 2016-12-02 Sébastien Philippe , Robert J. Goldston , Alexander Glaser , Francesco d'Errico

Zero knowledge plays a central role in cryptography and complexity. The seminal work of Ben-Or et al. (STOC 1988) shows that zero knowledge can be achieved unconditionally for any language in NEXP, as long as one is willing to make a…

量子物理 · 物理学 2018-03-12 Alessandro Chiesa , Michael A. Forbes , Tom Gur , Nicholas Spooner

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…

量子物理 · 物理学 2007-05-23 Hirotada Kobayashi

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…

密码学与安全 · 计算机科学 2025-04-03 John Kolesar , Shan Ali , Timos Antonopoulos , Ruzica Piskac

We study non-interactive zero-knowledge proofs (NIZKs) for NP satisfying: 1) statistical soundness, 2) computational zero-knowledge and 3) certified-everlasting zero-knowledge (CE-ZK). The CE-ZK property allows a verifier of a quantum proof…

量子物理 · 物理学 2026-02-13 Nikhil Pappu

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…

密码学与安全 · 计算机科学 2024-01-08 Armando Cruz

We study distributed zero-knowledge proofs, introduced by Bick, Kol, and Oshman (SODA 2022). While distributed interactive proofs have advanced rapidly, general-purpose techniques for distributed zero-knowledge remain limited and mostly…

分布式、并行与集群计算 · 计算机科学 2026-05-15 Benjamin Jauregui , Masayuki Miyamoto

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…

计算复杂性 · 计算机科学 2024-03-20 Tom Gur , Jack O'Connor , Nicholas Spooner

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…

量子物理 · 物理学 2019-05-28 Alex B. Grilo , William Slofstra , Henry Yuen

The traditional definition of quantum zero-knowledge stipulates that the knowledge gained by any quantum polynomial-time verifier in an interactive protocol can be simulated by a quantum polynomial-time algorithm. One drawback of this…

量子物理 · 物理学 2022-10-13 Prabhanjan Ananth , Alex B. Grilo

Relativistic cryptography is a proposal for achieving unconditional security that exploits the fact that no information carrier can travel faster than the speed of light. It is based on space-time constraints but doesn't require quantum…

量子物理 · 物理学 2021-12-03 André Chailloux , Yann Barsamian