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Recently, researchers have been working toward the development of practical general-purpose protocols for verifiable computation. These protocols enable a computationally weak verifier to offload computations to a powerful but untrusted…

Cryptography and Security · Computer Science 2017-02-09 Justin Thaler

Achieving quantum computational advantage requires solving a classically intractable problem on a quantum device. Natural proposals rely upon the intrinsic hardness of classically simulating quantum mechanics; however, verifying the output…

The widely held belief that BQP strictly contains BPP raises fundamental questions: if we cannot efficiently compute predictions for the behavior of quantum systems, how can we test their behavior? In other words, is quantum mechanics…

Quantum Physics · Physics 2017-04-17 Dorit Aharonov , Michael Ben-Or , Elad Eban , Urmila Mahadev

We explore the power of interactive proofs with a distributed verifier. In this setting, the verifier consists of $n$ nodes and a graph $G$ that defines their communication pattern. The prover is a single entity that communicates with all…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-31 Moni Naor , Merav Parter , Eylon Yogev

When computation is outsourced, the data owner would like to be assured that the desired computation has been performed correctly by the service provider. In theory, proof systems can give the necessary assurance, but prior work is not…

Databases · Computer Science 2011-10-03 Graham Cormode , Justin Thaler , Ke Yi

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…

Quantum Physics · Physics 2018-06-25 Anne Broadbent

We consider the problem of how a trusted, but computationally bounded agent (a 'verifier') can learn to interact with one or more powerful but untrusted agents ('provers') in order to solve a given task. More specifically, we study the case…

Artificial Intelligence · Computer Science 2025-03-19 Lewis Hammond , Sam Adam-Day

Data attribution methods aim to answer useful counterfactual questions like "what would a ML model's prediction be if it were trained on a different dataset?" However, estimation of data attribution models through techniques like empirical…

Machine Learning · Computer Science 2025-08-19 Ari Karchmer , Martin Pawelczyk , Seth Neel

The widely held belief that BQP strictly contains BPP raises fundamental questions: Upcoming generations of quantum computers might already be too large to be simulated classically. Is it possible to experimentally test that these systems…

Quantum Physics · Physics 2008-11-18 Dorit Aharonov , Michael Ben-Or , Elad Eban

We introduce pseudo-deterministic interactive proofs (psdAM): interactive proof systems for search problems where the verifier is guaranteed with high probability to output the same output on different executions. As in the case with…

Computational Complexity · Computer Science 2017-06-16 Shafi Goldwasser , Ofer Grossman , Dhiraj Holden

Cloud computing platforms have created the possibility for computationally limited users to delegate demanding tasks to strong but untrusted servers. Verifiable computing algorithms help build trust in such interactions by enabling the…

Computational Complexity · Computer Science 2019-07-10 Saeid Sahraei , Mohammad Ali Maddah-Ali , Salman Avestimehr

Following an early work of Dwork and Stockmeyer on interactive proof systems whose verifiers are two-way probabilistic finite automata, the authors initiated in 2004 a study on the computational power of quantum interactive proof systems…

Quantum Physics · Physics 2015-08-25 Harumichi Nishimura , Tomoyuki Yamakami

With today's quantum processors venturing into regimes beyond the capabilities of classical devices [1-3], we face the challenge to verify that these devices perform as intended, even when we cannot check their results on classical…

As modern computing moves towards smaller devices and powerful cloud platforms, more and more computation is being delegated to powerful service providers. Interactive proofs are a widely-used model to design efficient protocols for…

Computer Science and Game Theory · Computer Science 2018-09-14 Jing Chen , Samuel McCauley , Shikha Singh

Traditional proof systems involve a resource-bounded verifier communicating with a powerful (but untrusted) prover. Distributed verifier proof systems are a new family of proof models that involve a network of verifier nodes communicating…

Computational Complexity · Computer Science 2020-05-22 Nagaganesh Jaladanki , Wilson Wu

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

Generating code from natural-language requirements has become a primary route for LLM-assisted software development. Although LLMs can successfully complete small programming tasks, generating an entire complex project remains unreliable…

Software Engineering · Computer Science 2026-05-26 Jian Fang , Yingfei Xiong

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

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

When delegating computation to a service provider, as in cloud computing, we seek some reassurance that the output is correct and complete. Yet recomputing the output as a check is inefficient and expensive, and it may not even be feasible…

Data Structures and Algorithms · Computer Science 2015-03-19 Graham Cormode , Michael Mitzenmacher , Justin Thaler
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