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In multi-prover interactive proofs, the verifier interrogates the provers and attempts to steal their knowledge. Other than that, the verifier's role has not been studied. We have discovered that the verifier plays a much more important…

Quantum Physics · Physics 2019-02-01 Claude Crépeau , Nan Yang

The central question in quantum multi-prover interactive proof systems is whether or not entanglement shared between provers affects the verification power of the proof system. We study for the first time positive aspects of prior…

Quantum Physics · Physics 2007-11-26 Julia Kempe , Hirotada Kobayashi , Keiji Matsumoto , Thomas Vidick

Physical layer security offers an efficient means to decrease the risk of confidential information leakage through wiretap links. In this paper, we address the physical-layer security in a cooperative wireless subnetwork that includes a…

Networking and Internet Architecture · Computer Science 2019-10-21 Saeed Vahidian , Sajad Hatamnia , Benoit Champagne

We initiate the study of quantum Interactive Oracle Proofs (qIOPs), a generalization of both quantum Probabilistically Checkable Proofs and quantum Interactive Proofs, as well as a quantum analogue of classical Interactive Oracle Proofs. In…

Computational Complexity · Computer Science 2026-01-22 Baocheng Sun , Thomas Vidick

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

We propose a monotonic logic of internalised non-monotonic or instant interactive proofs (LiiP) and reconstruct an existing monotonic logic of internalised monotonic or persistent interactive proofs (LiP) as a minimal conservative extension…

Logic in Computer Science · Computer Science 2013-02-07 Simon Kramer

We reconsider the concept of multi-prover commitments, as introduced in the late eighties in the seminal work by Ben-Or et al. As was recently shown by Cr\'{e}peau et al., the security of known two-prover commitment schemes not only relies…

Quantum Physics · Physics 2015-05-13 Serge Fehr , Max Fillinger

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

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

There has been considerable recent interest in "cloud storage" wherein a user asks a server to store a large file. One issue is whether the user can verify that the server is actually storing the file, and typically a challenge-response…

Cryptography and Security · Computer Science 2016-03-09 Maura B. Paterson , Douglas R. Stinson , Jalaj Upadhyay

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

Device-independent (DI) protocols have experienced significant progress in recent years, with a series of demonstrations of DI randomness generation or expansion, as well as DI quantum key distribution. However, existing security proofs for…

Quantum Physics · Physics 2023-07-06 Ernest Y. -Z. Tan

Interactive Theorem Provers (ITPs) are an indispensable tool in the arsenal of formal method experts as a platform for construction and (formal) verification of proofs. The complexity of the proofs in conjunction with the level of expertise…

Logic in Computer Science · Computer Science 2023-04-21 Eric Yeh , Briland Hitaj , Sam Owre , Maena Quemener , Natarajan Shankar

In the inference attacks studied in Quantitative Information Flow (QIF), the adversary typically tries to interfere with the system in the attempt to increase its leakage of secret information. The defender, on the other hand, typically…

Cryptography and Security · Computer Science 2023-07-19 Mário S. Alvim , Konstantinos Chatzikokolakis , Yusuke Kawamoto , Catuscia Palamidessi

In secure multiparty computation (MPC), mutually distrusting users collaborate to compute a function of their private data without revealing any additional information about their data to other users. While it is known that information…

Cryptography and Security · Computer Science 2016-11-17 Deepesh Data , Vinod M. Prabhakaran , Manoj M. Prabhakaran

The recent MIP*=RE theorem of Ji, Natarajan, Vidick, Wright, and Yuen shows that the complexity class MIP* of multiprover proof systems with entangled provers contains all recursively enumerable languages. Prior work of Grilo, Slofstra, and…

Quantum Physics · Physics 2024-07-31 Kieran Mastel , William Slofstra

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…

Cryptography and Security · Computer Science 2024-07-30 Mohammed Alghazwi , Tariq Bontekoe , Leon Visscher , Fatih Turkmen

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…

Quantum Physics · Physics 2019-03-01 Yusuke Kinoshita

In cryptography, secure Multi-Party Computation (MPC) protocols allow participants to compute a function jointly while keeping their inputs private. Recent breakthroughs are bringing MPC into practice, solving fundamental challenges for…

Cryptography and Security · Computer Science 2018-06-01 David Butler , David Aspinall , Adria Gascon

We show that if a language $L$ admits a public-coin unambiguous interactive proof (UIP) with round complexity $\ell$, where $a$ bits are communicated per round, then the batch language $L^{\otimes k}$, i.e. the set of $k$-tuples of…

Computational Complexity · Computer Science 2025-10-23 Bonnie Berger , Rohan Goyal , Matthew M. Hong , Yael Tauman Kalai