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In a recent seminal work, Bitansky and Shmueli (STOC '20) gave the first construction of a constant round zero-knowledge argument for NP secure against quantum attacks. However, their construction has several drawbacks compared to the…

量子物理 · 物理学 2023-10-31 Nai-Hui Chia , Kai-Min Chung , Takashi Yamakawa

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…

量子物理 · 物理学 2025-04-08 Nai-Hui Chia , Kai-Min Chung , Xiao Liang , Jiahui Liu

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

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…

量子物理 · 物理学 2021-07-20 Prabhanjan Ananth , Kai-Min Chung , Rolando L. La Placa

We investigate the existence of constant-round post-quantum black-box zero-knowledge protocols for $\mathbf{NP}$. As a main result, we show that there is no constant-round post-quantum black-box zero-knowledge argument for $\mathbf{NP}$…

密码学与安全 · 计算机科学 2021-06-15 Nai-Hui Chia , Kai-Min Chung , Qipeng Liu , Takashi Yamakawa

The round complexity of interactive proof systems is a key question of practical and theoretical relevance in complexity theory and cryptography. Moreover, results such as QIP = QIP(3) (STOC'00) show that quantum resources significantly…

量子物理 · 物理学 2024-05-29 Alex B. Grilo , Philippe Lamontagne

The classical channel remote state preparation (ccRSP) is an important two-party primitive in quantum cryptography. Alice (classical polynomial-time) and Bob (quantum polynomial-time) exchange polynomial rounds of classical messages, and…

量子物理 · 物理学 2020-09-02 Tomoyuki Morimae , Yuki Takeuchi

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

We give a new theoretical solution to a leading-edge experimental challenge, namely to the verification of quantum computations in the regime of high computational complexity. Our results are given in the language of quantum interactive…

量子物理 · 物理学 2018-06-25 Anne Broadbent

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

A proof of quantumness is an efficiently verifiable interactive test that an efficient quantum computer can pass, but all efficient classical computers cannot (under some cryptographic assumption). Such protocols play a crucial role in the…

量子物理 · 物理学 2024-05-27 Petia Arabadjieva , Alexandru Gheorghiu , Victor Gitton , Tony Metger

A major difficulty in quantum rewinding is the fact that measurement is destructive: extracting information from a quantum state irreversibly changes it. This is especially problematic in the context of zero-knowledge simulation, where…

密码学与安全 · 计算机科学 2021-11-25 Alex Lombardi , Fermi Ma , Nicholas Spooner

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…

量子物理 · 物理学 2019-03-01 Yusuke Kinoshita

We present a simple and general simulation technique that transforms any black-box quantum algorithm (a la Grover's database search algorithm) to a quantum communication protocol for a related problem, in a way that fully exploits the…

量子物理 · 物理学 2007-05-23 Harry Buhrman , Richard Cleve , Avi Wigderson

We construct a constant-round zero-knowledge classical argument for NP secure against quantum attacks. We assume the existence of Quantum Fully-Homomorphic Encryption and other standard primitives, known based on the Learning with Errors…

量子物理 · 物理学 2020-04-22 Nir Bitansky , Omri Shmueli

A proof of quantumness (PoQ) allows a classical verifier to efficiently test if a quantum machine is performing a computation that is infeasible for any classical machine. In this work, we propose a new approach for constructing PoQ…

量子物理 · 物理学 2025-06-02 Giulio Malavolta , Tamer Mour

This paper studies quantum Arthur-Merlin games, which are Arthur-Merlin games in which Arthur and Merlin can perform quantum computations and Merlin can send Arthur quantum information. As in the classical case, messages from Arthur to…

计算复杂性 · 计算机科学 2007-05-23 Chris Marriott , John Watrous

Bob has a black box that emits a single pure state qudit which is, from his perspective, uniformly distributed. Alice wishes to give Bob evidence that she has knowledge about the emitted state while giving him little or no information about…

量子物理 · 物理学 2018-02-07 Emily Adlam , Adrian Kent

We show that every language in QMA admits a classical-verifier, quantum-prover zero-knowledge argument system which is sound against quantum polynomial-time provers and zero-knowledge for classical (and quantum) polynomial-time verifiers.…

量子物理 · 物理学 2020-05-20 Thomas Vidick , Tina Zhang

We exhibit two black-box problems, both of which have an efficient quantum algorithm with zero-error, yet whose composition does not have an efficient quantum algorithm with zero-error. This shows that quantum zero-error algorithms cannot…

量子物理 · 物理学 2007-05-23 Harry Buhrman , Ronald de Wolf
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