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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

Quantum Computers (QCs), once they mature, will be able to solve some problems faster than Classic Computers. This phenomenon is called "quantum advantage" (or a stronger term "quantum supremacy"). Quantum advantage will help us to speed up…

Software Engineering · Computer Science 2020-04-13 Lei Zhang , Andriy Miranskyy , Walid Rjaibi

A longstanding goal in quantum information science is to demonstrate quantum computations that cannot be feasibly reproduced on a classical computer. Such demonstrations mark major milestones: they showcase fine control over quantum systems…

Despite all the progress in quantum technologies over the last decade, there is still a dearth of practical applications for quantum computers with a small number of noisy qubits. The effort to show quantum supremacy has been largely…

Quantum Physics · Physics 2022-05-06 Mikhail Y. Shalaginov , Michael Dubrovsky

A stochastic process's statistical complexity stands out as a fundamental property: the minimum information required to synchronize one process generator to another. How much information is required, though, when synchronizing over a…

Quantum Physics · Physics 2015-08-13 J. R. Mahoney , C. Aghamohammadi , J. P. Crutchfield

One-way functions (OWF) are one of the most essential cryptographic primitives, the existence of which results in wide-ranging ramifications such as private-key encryption and proving $P \neq NP$. These OWFs are often thought of as having…

Quantum Physics · Physics 2022-09-22 Wei Zheng Teo , Marco Carmosino , Lior Horesh

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…

A proof of quantumness (PoQ) allows a classical verifier to efficiently test if a quantum machine is performing a computation that is infeasible for any classical machine. In this work, we propose a new approach for constructing PoQ…

Quantum Physics · Physics 2025-06-02 Giulio Malavolta , Tamer Mour

Ever since its inception, cryptography has been caught in a vicious circle: Cryptographers keep inventing methods to hide information, and cryptanalysts break them, prompting cryptographers to invent even more sophisticated encryption…

Quantum Physics · Physics 2023-06-14 Renato Renner , Ramona Wolf

In classical cryptography, one-way functions are widely considered to be the minimal computational assumption. However, when taking quantum information into account, the situation is more nuanced. There are currently two major candidates…

Quantum Physics · Physics 2024-04-23 Giulio Malavolta , Tomoyuki Morimae , Michael Walter , Takashi Yamakawa

Regarding minimal assumptions, most of classical cryptography is known to depend on the existence of One-Way Functions (OWFs). However, recent evidence has shown that this is not the case when considering quantum resources. Besides the well…

Quantum Physics · Physics 2024-10-11 Manuel Goulão , David Elkouss

Physical unclonable functions(PUFs) provide a unique fingerprint to a physical entity by exploiting the inherent physical randomness. Gao et al. discussed the vulnerability of most current-day PUFs to sophisticated machine learning-based…

Quantum Physics · Physics 2023-05-24 Kaushik Chakraborty , Mina Doosti , Yao Ma , Chirag Wadhwa , Myrto Arapinis , Elham Kashefi

Developing a systematic view of where quantum computers will outperform classical ones is important for researchers, policy makers and business leaders. But developing such a view is challenging because quantum advantage analyses depend not…

In the quantum computation verification problem, a quantum server wants to convince a client that the output of evaluating a quantum circuit $C$ is some result that it claims. This problem is considered very important both theoretically and…

Quantum Physics · Physics 2024-06-04 Jiayu Zhang

Quantum random sampling is the leading proposal for demonstrating a computational advantage of quantum computers over classical computers. Recently, first large-scale implementations of quantum random sampling have arguably surpassed the…

Quantum Physics · Physics 2023-07-21 Dominik Hangleiter , Jens Eisert

The most general examples of quantum learning advantages involve data labeled by cryptographic or intrinsically quantum functions, where classical learners are limited by the infeasibility of evaluating the labeling functions using…

Quantum Physics · Physics 2026-02-19 Riccardo Molteni , Simon C. Marshall , Vedran Dunjko

Methods of quantum mechanics promise information-theoretic security for various protocols in cryptography. However, impossibility of some cryptographic applications such as standard bit commitment, oblivious transfer, multiparty secure…

Quantum Physics · Physics 2015-08-03 Muhammad Nadeem

We show the following hold, unconditionally unless otherwise stated, relative to a random oracle: - There are NP search problems solvable by quantum polynomial-time machines but not classical probabilistic polynomial-time machines. - There…

Quantum Physics · Physics 2024-11-12 Takashi Yamakawa , Mark Zhandry

One-time programs, computer programs which self-destruct after being run only once, are a powerful building block in cryptography and would allow for new forms of secure software distribution. However, ideal one-time programs have been…

The goal of demonstrating a quantum advantage with currently available experimental systems is of utmost importance in quantum information science. While this remains elusive for quantum computation, the field of communication complexity…

Quantum Physics · Physics 2019-09-16 Niraj Kumar , Iordanis Kerenidis , Eleni Diamanti