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Position verification schemes are interactive protocols where entities prove their physical location to others; this enables interactive proofs for statements of the form "I am at a location $L$." Although secure position verification…

Quantum Physics · Physics 2026-02-17 Uma Girish , Greg Gluch , Shafi Goldwasser , Tal Malkin , Leo Orshansky , Henry Yuen

This paper proves that several interactive proof systems are zero-knowledge against quantum attacks. This includes a few well-known classical zero-knowledge proof systems as well as quantum interactive proof systems for the complexity class…

Quantum Physics · Physics 2007-05-23 John Watrous

Recent developments make the possibility of achieving scalable quantum networks and quantum devices closer. From the computational point of view these emerging technologies become relevant when they are no longer classically simulatable.…

Quantum Physics · Physics 2017-03-09 Elham Kashefi , Petros Wallden

Let $\mathbb{Q}$ (resp. $\mathbb{R}$) be the field of rational (resp. real) numbers and $X = (X_1, \ldots, X_n)$ be variables. Deciding the non-negativity of polynomials in $\mathbb{Q}[X]$ over $\mathbb{R}^n$ or over semi-algebraic domains…

Symbolic Computation · Computer Science 2018-05-08 Victor Magron , Mohab Safey El Din

In the current era, quantum resources are extremely limited, and this makes difficult the usage of quantum machine learning (QML) models. Concerning the supervised tasks, a viable approach is the introduction of a quantum locality…

Emerging Technologies · Computer Science 2024-01-04 Enrico Zardini , Enrico Blanzieri , Davide Pastorello

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

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

Is it possible to comprehensively destroy a piece of quantum information, so that nothing is left behind except the memory of whether one had it at one point? For example, various works, most recently Morimae, Poremba, and Yamakawa (TQC…

Quantum Physics · Physics 2024-11-11 Alper Çakan , Vipul Goyal , Justin Raizes

We discuss quantum position verification (QPV) protocols in which the verifiers create and send single-qubit states to the prover. QPV protocols using single-qubit states are known to be insecure against adversaries that share a small…

Quantum Physics · Physics 2021-06-25 Siddhartha Das , George Siopsis

In the quantum computation verification problem, a quantum server wants to convince a client that the output of evaluating a quantum circuit $C$ is some result that it claims. This problem is considered very important both theoretically and…

Quantum Physics · Physics 2024-06-04 Jiayu Zhang

Characterizing increasingly complex quantum systems is a central task in quantum information science, yet experimental costs often scale prohibitively with system size. Certifying key properties using simple local measurements is highly…

Quantum Physics · Physics 2026-05-21 Zhenyu Du , Jinchang Liu , Elias X. Huber , Zi-Wen Liu , Xiongfeng Ma

This survey provides a comprehensive examination of verifiable computing, tracing its evolution from foundational complexity theory to modern zero-knowledge succinct non-interactive arguments of knowledge (ZK-SNARKs). We explore key…

Logic in Computer Science · Computer Science 2025-01-13 Angold Wang

Privacy concerns in machine learning systems have grown significantly with the increasing reliance on sensitive user data for training large-scale models. This paper introduces a novel framework combining Probably Approximately Correct…

Cryptography and Security · Computer Science 2026-02-13 Guilhem Repetto , Nojan Sheybani , Gabrielle De Micheli , Farinaz Koushanfar

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

We construct a succinct classical argument system for QMA, the quantum analogue of NP, from generic and standard cryptographic assumptions. Previously, building on the prior work of Mahadev (FOCS '18), Bartusek et al. (CRYPTO '22) also…

Quantum Physics · Physics 2024-05-01 Tony Metger , Anand Natarajan , Tina Zhang

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…

Quantum Physics · Physics 2020-04-22 Nir Bitansky , Omri Shmueli

Blind quantum computing enables a client, who does not have enough quantum technologies, to delegate her quantum computing to a remote quantum server in such a way that her privacy is protected against the server. Some blind quantum…

Quantum Physics · Physics 2018-03-21 Tomoyuki Morimae

Zero-Knowledge Proofs (ZKPs) have emerged as an important cryptographic technique allowing one party (prover) to prove the correctness of a statement to some other party (verifier) and nothing else. ZKPs give rise to user's privacy in many…

Despite the functional success of deep neural networks (DNNs), their trustworthiness remains a crucial open challenge. To address this challenge, both testing and verification techniques have been proposed. But these existing techniques…

Machine Learning · Computer Science 2021-03-24 Teodora Baluta , Zheng Leong Chua , Kuldeep S. Meel , Prateek Saxena

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