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In a recent breakthrough, Mahadev constructed a classical verification of quantum computation (CVQC) protocol for a classical client to delegate decision problems in BQP to an untrusted quantum prover under computational assumptions. In…

Quantum Physics · Physics 2021-10-26 Kai-Min Chung , Yi Lee , Han-Hsuan Lin , Xiaodi Wu

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…

Quantum Physics · Physics 2019-05-28 Alex B. Grilo , William Slofstra , Henry Yuen

A theoretical framework of quantum no-key (QNK) protocol has been presented. As its applications, we develop three kinds of QNK protocols: the practical QNK protocols, the QNK protocol based on quantum perfect encryption, and the QNK…

Quantum Physics · Physics 2011-12-06 Li Yang , Min Liang , Bao Li , Lei Hu , Ling-An Wu

Verification of quantum computation is a task to efficiently check whether an output given from a quantum computer is correct. Existing verification protocols conducted between a quantum computer to be verified and a verifier necessitate…

Quantum Physics · Physics 2024-04-01 Yuki Takeuchi , Akihiro Mizutani

We consider a new model for the testing of untrusted quantum devices, consisting of a single polynomial-time bounded quantum device interacting with a classical polynomial-time verifier. In this model we propose solutions to two tasks - a…

Quantum Physics · Physics 2021-05-06 Zvika Brakerski , Paul Christiano , Urmila Mahadev , Umesh Vazirani , Thomas Vidick

The famous Fiat-Shamir transformation turns any public-coin three-round interactive proof, i.e., any so-called sigma-protocol, into a non-interactive proof in the random-oracle model. We study this transformation in the setting of a quantum…

Cryptography and Security · Computer Science 2020-07-28 Jelle Don , Serge Fehr , Christian Majenz , Christian Schaffner

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

On-demand authentication is critical for scalable quantum systems, yet current approaches require the signer to initiate communication, creating unnecessary overhead. We introduce a new method where the verifier can request authentication…

Quantum Physics · Physics 2025-12-08 Wusheng Wang , Masahito Hayashi

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

An experimental cryptographic proof of quantumness will be a vital milestone in the progress of quantum information science. Error tolerance is a persistent challenge for implementing such tests: we need a test that not only can be passed…

Quantum Physics · Physics 2026-03-06 Carl A. Miller

Quantum metric learning enhances machine learning by mapping classical data to a quantum Hilbert space with maximal separation between classes. However, on current NISQ hardware, this mapping process itself is prone to errors and could be…

Quantum Physics · Physics 2026-03-31 Ahmed Shokry , Movahhed Sadeghi , Mahmut Kandemir

We implement an experiment on a photonic quantum processor establishing efficacy of the elementary quantum system in classical information storage. The advantage is established by considering a class of simple bipartite games played with…

This paper presents stronger methods of achieving perfect completeness in quantum interactive proofs. First, it is proved that any problem in QMA has a two-message quantum interactive proof system of perfect completeness with constant…

Quantum Physics · Physics 2016-05-25 Hirotada Kobayashi , François Le Gall , Harumichi Nishimura

We study the relationship between problems solvable by quantum algorithms in polynomial time and those for which zero-knowledge proofs exist. In prior work, Aaronson [arxiv:quant-ph/0111102] showed an oracle separation between BQP and SZK,…

Computational Complexity · Computer Science 2019-07-09 Benjamin Morrison , Adam Groce

A non-interactive ZK (NIZK) proof enables verification of NP statements without revealing secrets about them. However, an adversary that obtains a NIZK proof may be able to clone this proof and distribute arbitrarily many copies of it to…

Cryptography and Security · Computer Science 2024-09-25 Ruta Jawale , Dakshita Khurana

In classical two-party computation, a trusted initializer who prepares certain initial correlations, known as one-time tables, can help make the inputs of both parties information-theoretically secure. We propose some bipartite quantum…

Quantum Physics · Physics 2021-04-20 Li Yu

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…

Quantum Physics · Physics 2007-05-23 Harry Buhrman , Richard Cleve , Avi Wigderson

We present two protocols for classical verification of quantum depth. Our protocols allow a purely classical verifier to distinguish devices with different quantum circuit depths even in the presence of classical computation. We show that a…

Quantum Physics · Physics 2022-05-11 Nai-Hui Chia , Shih-Han Hung

Let L be a language decided by a constant-round quantum Arthur-Merlin (QAM) protocol with negligible soundness error and all but possibly the last message being classical. We prove that if this protocol is zero knowledge with a black-box,…

Quantum Physics · Physics 2009-06-19 Rahul Jain , Alexandra Kolla , Gatis Midrijanis , Ben W. Reichardt

We realize shamir's no-key protocol via quantum computation of Boolean permutation and private quantum channel. The quantum no-key (QNK) protocol presented here is one with mutual authentications, and proved to be unconditionally secure. An…

Quantum Physics · Physics 2015-02-10 Li Yang , Chenmiao Wu