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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

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

We present the first protocol allowing a classical computer to interactively verify the result of an efficient quantum computation. We achieve this by constructing a measurement protocol, which enables a classical verifier to use a quantum…

Quantum Physics · Physics 2023-12-11 Urmila Mahadev

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

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

Quantum computers are on the brink of surpassing the capabilities of even the most powerful classical computers. This naturally raises the question of how one can trust the results of a quantum computer when they cannot be compared to…

A proof of quantumness is a method for provably demonstrating (to a classical verifier) that a quantum device can perform computational tasks that a classical device with comparable resources cannot. Providing a proof of quantumness is the…

Quantum Physics · Physics 2020-05-12 Zvika Brakerski , Venkata Koppula , Umesh Vazirani , Thomas Vidick

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 the absence of any efficient classical schemes for verifying a universal quantum computer, the importance of limiting the required quantum resources for this task has been highlighted recently. Currently, most of efficient quantum…

Quantum Physics · Physics 2015-06-24 Theodoros Kapourniotis , Vedran Dunjko , Elham Kashefi

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…

Quantum computers promise to efficiently solve not only problems believed to be intractable for classical computers, but also problems for which verifying the solution is also considered intractable. This raises the question of how one can…

Quantum Physics · Physics 2018-07-10 Alexandru Gheorghiu , Theodoros Kapourniotis , Elham Kashefi

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

Quantum inspired protocols e.g. [AAV13,AG17] attempt to achieve a single-prover interactive protocol where a classical machine can verify quantum computations in an information-theoretically secure manner. We define a family of protocols…

Quantum Physics · Physics 2021-05-14 Ayal Green

Device-independent certification of quantum devices is of crucial importance for the development of secure quantum information protocols. So far, the most studied scenario corresponds to a system consisting of different non-characterized…

Quantum Physics · Physics 2020-08-26 Ivan Šupić , Matty J. Hoban , Laia Domingo Colomer , Antonio Acín

The posthoc verification protocol [J. F. Fitzsimons, M. Hajdu{\v s}ek, and T. Morimae, Physical Review Letters {\bf120}, 040501 (2018)] enables an information-theoretically-sound non-interactive verification of quantum computing, but the…

Quantum Physics · Physics 2020-03-27 Tomoyuki Morimae

A proof of quantumness is an efficiently verifiable interactive test that an efficient quantum computer can pass, but all efficient classical computers cannot (under some cryptographic assumption). Such protocols play a crucial role in the…

Quantum Physics · Physics 2024-05-27 Petia Arabadjieva , Alexandru Gheorghiu , Victor Gitton , Tony Metger

A test of quantumness is a protocol where a classical user issues challenges to a quantum device to determine if it exhibits non-classical behavior, under certain cryptographic assumptions. Recent attempts to implement such tests on current…

The problem of reliably certifying the outcome of a computation performed by a quantum device is rapidly gaining relevance. We present two protocols for a classical verifier to verifiably delegate a quantum computation to two…

Quantum Physics · Physics 2020-01-13 Andrea Coladangelo , Alex Grilo , Stacey Jeffery , Thomas Vidick

In order to guarantee the output of a quantum computation, we usually assume that the component devices are trusted. However, when the total computation process is large, it is not easy to guarantee the whole system when we have scaling…

Quantum Physics · Physics 2018-05-16 Masahito Hayashi , Michal Hajdusek

In a recent breakthrough, Mahadev constructed an interactive protocol that enables a purely classical party to delegate any quantum computation to an untrusted quantum prover. In this work, we show that this same task can in fact be…

Quantum Physics · Physics 2022-02-14 Gorjan Alagic , Andrew M. Childs , Alex B. Grilo , Shih-Han Hung
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