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With experimental quantum computing technologies now in their infancy, the search for efficient means of testing the correctness of these quantum computations is becoming more pressing. An approach to the verification of quantum computation…

Quantum Physics · Physics 2018-04-18 Alexandru Gheorghiu , Matty J. Hoban , Elham Kashefi

With recent progress on experimental quantum information processing, an important question has arisen as to whether it is possible to verify arbitrary computation performed on a quantum processor. A number of protocols have been proposed to…

Quantum Physics · Physics 2022-06-27 Joseph F. Fitzsimons , Michal Hajdušek

Verified explanations are a principled way to explain the decisions taken by neural networks, which are otherwise black-box in nature. However, these techniques face significant scalability challenges, as they require multiple calls to…

Machine Learning · Computer Science 2026-05-11 Alessandro De Palma , Greta Dolcetti , Caterina Urban

In this paper we consider quantum interactive proof systems, i.e., interactive proof systems in which the prover and verifier may perform quantum computations and exchange quantum messages. It is proved that every language in PSPACE has a…

Computational Complexity · Computer Science 2007-05-23 John Watrous

Interactive verification protocols for quantum computations allow to build trust between a client and a service provider, ensuring the former that the instructed computation was carried out faithfully. They come in two variants, one without…

Quantum Physics · Physics 2026-04-01 Amit Saha , Harold Ollivier

Federated learning (FL) enables collaborative model training by aggregating local updates without requiring raw data sharing. However, prior studies have shown that servers can exploit gradient inversion to compromise user privacy or…

Cryptography and Security · Computer Science 2026-05-26 Yufei Zhou

This paper presents two sufficient conditions to ensure a faithful evaluation of polynomial in IEEE-754 floating point arithmetic. Faithfulness means that the computed value is one of the two floating point neighbours of the exact result;…

Numerical Analysis · Mathematics 2025-10-20 Philippe Langlois , Nicolas Louvet

Recently, there are more and more organizations offering quantum-cloud services, where any client can access a quantum computer remotely through the internet. In the near future, these cloud servers may claim to offer quantum computing…

Quantum Physics · Physics 2021-05-20 Xi Chen , Bin Cheng , Zhaokai Li , Xinfang Nie , Nengkun Yu , Man-Hong Yung , Xinhua Peng

In an emerging computing paradigm, computational capabilities, from processing power to storage capacities, are offered to users over communication networks as a cloud-based service. There, demanding computations are outsourced in order to…

Symbolic Computation · Computer Science 2018-07-24 Jean-Guillaume Dumas

You put a program on a concurrent server, but you don't trust the server; later, you get a trace of the actual requests that the server received from its clients and the responses that it delivered. You separately get logs from the server;…

Cryptography and Security · Computer Science 2018-04-20 Cheng Tan , Lingfan Yu , Joshua B. Leners , Michael Walfish

Quantum computers are expected to offer substantial speedups over their classical counterparts and to solve problems that are intractable for classical computers. Beyond such practical significance, the concept of quantum computation opens…

Quantum Physics · Physics 2014-11-13 Stefanie Barz , Joseph F. Fitzsimons , Elham Kashefi , Philip Walther

Intermediate-scale quantum devices are becoming more reliable, and may soon be harnessed to solve useful computational tasks. At the same time, common classical methods used to verify their computational output become intractable due to a…

Quantum Physics · Physics 2023-07-03 Johannes Knörzer , Daniel Malz , J. Ignacio Cirac

In this paper, we present VerifyML, the first secure inference framework to check the fairness degree of a given Machine learning (ML) model. VerifyML is generic and is immune to any obstruction by the malicious model holder during the…

Cryptography and Security · Computer Science 2022-10-18 Guowen Xu , Xingshuo Han , Gelei Deng , Tianwei Zhang , Shengmin Xu , Jianting Ning , Anjia Yang , Hongwei Li

ProofPeer strives to be a system for cloud-based interactive theorem proving. After illustrating why such a system is needed, the paper presents some of the design challenges that ProofPeer needs to meet to succeed. Contexts are presented…

Mathematical Software · Computer Science 2012-01-04 Steven Obua

Cloud service providers offer various facilities to their clients. The clients with limited resources opt for some of these facilities. They can outsource their bulk data to the cloud server. The cloud server maintains these data in lieu of…

Cryptography and Security · Computer Science 2018-08-17 Binanda Sengupta , Sushmita Ruj

Encrypted computation opens up promising avenues across a plethora of application domains, including machine learning, health-care, finance, and control. Arithmetic homomorphic encryption, in particular, is a natural fit for cloud-based…

Cryptography and Security · Computer Science 2024-10-29 Janis Adamek , Philipp Binfet , Nils Schlüter , Moritz Schulze Darup

Publicly verifiable delegation is a well-known problem involving a user who wishes to outsource a resource-intensive computational task to a more powerful but potentially untrusted server such that any other party is able to efficiently…

Cryptography and Security · Computer Science 2026-04-28 Ameer Mohammed , Aydin Abadi , Jaffer Mahdi

We present OpenComputer, a verifier-grounded framework for constructing verifiable software worlds for computer-use agents. OpenComputer integrates four components: (1) app-specific state verifiers that expose structured inspection…

Artificial Intelligence · Computer Science 2026-05-20 Jinbiao Wei , Qianran Ma , Yilun Zhao , Xiao Zhou , Kangqi Ni , Guo Gan , Arman Cohan

Modern cloud-based AI training relies on extensive telemetry and logs to ensure accountability. While these audit trails enable retrospective inspection, they struggle to address the inherent non-determinism of deep learning. Stochastic…

Cryptography and Security · Computer Science 2025-12-30 Kichang Lee , Sungmin Lee , Jaeho Jin , JeongGil Ko

The increasing use of deep neural networks for safety-critical applications, such as autonomous driving and flight control, raises concerns about their safety and reliability. Formal verification can address these concerns by guaranteeing…

Artificial Intelligence · Computer Science 2018-02-06 Lindsey Kuper , Guy Katz , Justin Gottschlich , Kyle Julian , Clark Barrett , Mykel Kochenderfer