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We propose and analyze a novel interactive protocol for demonstrating quantum computational advantage, which is efficiently classically verifiable. Our protocol relies upon the cryptographic hardness of trapdoor claw-free functions (TCFs).…

Quantum Physics · Physics 2022-08-18 Gregory D. Kahanamoku-Meyer , Soonwon Choi , Umesh V. Vazirani , Norman Y. Yao

Interactive proofs (IP) model a world where a verifier delegates computation to an untrustworthy prover, verifying the prover's claims before accepting them. IP protocols have applications in areas such as verifiable computation…

Computational Complexity · Computer Science 2017-11-15 Jing Chen , Samuel McCauley , Shikha Singh

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…

We present a simple quantum interactive proof (QIP) protocol using the quantum state teleportation (QST) and quantum energy teleportation (QET) protocols. QET is a technique that allows a receiver at a distance to extract the local energy…

Quantum Physics · Physics 2024-06-18 Kazuki Ikeda , Adam Lowe

Efficient quantum compiling tactics greatly enhance the capability of quantum computers to execute complicated quantum algorithms. Due to its fundamental importance, a plethora of quantum compilers has been designed in past years. However,…

Quantum Physics · Physics 2022-04-15 Qiuhao Chen , Yuxuan Du , Qi Zhao , Yuling Jiao , Xiliang Lu , Xingyao Wu

Gate-based quantum computers hold enormous potential to accelerate classically intractable computational tasks. Random circuit sampling (RCS) is the only known task that has been able to be experimentally demonstrated using current-day NISQ…

Quantum Physics · Physics 2025-06-19 Fatih Kaleoglu , Minzhao Liu , Kaushik Chakraborty , David Cui , Omar Amer , Marco Pistoia , Charles Lim

An efficient and compact approach to the inclusion of dissipative effects in Non-Equilibrium Green's Function (NEGF) simulations of electronic systems is introduced. The algorithm is based on two well known methods in the literature,…

Mesoscale and Nanoscale Physics · Physics 2018-03-07 Jesse A. Vaitkus , Jared H. Cole

Boson-Sampling holds the potential to experimentally falsify the Extended Church Turing thesis. The computational hardness of Boson-Sampling, however, complicates the certification that an experimental device yields correct results in the…

Quantum Physics · Physics 2014-07-14 Malte C. Tichy , Klaus Mayer , Andreas Buchleitner , Klaus Mølmer

Even the best information retrieval model cannot always identify the most useful answers to a user query. This is in particular the case with web search systems, where it is known that users tend to minimise their effort to access relevant…

Information Retrieval · Computer Science 2009-06-23 B. Piwowarski , M. Lalmas

In recent years, the interest in leveraging quantum effects for enhancing machine learning tasks has significantly increased. Many algorithms speeding up supervised and unsupervised learning were established. The first framework in which…

Machine Learning · Computer Science 2020-11-13 Walter L. Boyajian , Jens Clausen , Lea M. Trenkwalder , Vedran Dunjko , Hans J. Briegel

We present the design, implementation, and foundation of a verifier for higher-order functional programs with generics and recursive data types. Our system supports proving safety and termination using preconditions, postconditions and…

Logic in Computer Science · Computer Science 2020-03-25 Jad Hamza , Nicolas Voirol , Viktor Kunčak

Simulating quantum dynamics is expected to be performed more easily on a quantum computer than on a classical computer. However, the currently available quantum devices lack the capability to implement fault-tolerant quantum algorithms for…

Quantum Physics · Physics 2022-02-28 Kian Hwee Lim , Tobias Haug , Leong Chuan Kwek , Kishor Bharti

In the quest for quantum advantage, a central question is under what conditions can classical algorithms achieve a performance comparable to quantum algorithms--a concept known as dequantization. Random Fourier features (RFFs) have…

Quantum Physics · Physics 2025-12-22 Mehrad Sahebi , Alice Barthe , Yudai Suzuki , Zoë Holmes , Michele Grossi

The research community has been actively working on the realization of quantum computer. But the large scale commercial quantum computers are not a reality yet quantum computing field has become richer by day with the advent of algorithms…

Quantum Physics · Physics 2021-04-06 Ayan Chattopadhyay , Vikram Menon

Simulating quantum circuits using classical computers lets us analyse the inner workings of quantum algorithms. The most complete type of simulation, strong simulation, is believed to be generally inefficient. Nevertheless, several…

Quantum Physics · Physics 2013-02-25 T. H. Johnson , J. D. Biamonte , S. R. Clark , D. Jaksch

Understanding an information forager's actions during interaction is very important for the study of interactive information retrieval. Although information spread in uncertain information space is substantially complex due to the high…

Information Retrieval · Computer Science 2020-08-07 Amit Kumar Jaiswal , Haiming Liu , Ingo Frommholz

While deep reinforcement learning (RL) has been demonstrated effective in solving complex control tasks, sample efficiency remains a key challenge due to the large amounts of data required for remarkable performance. Existing research…

Machine Learning · Computer Science 2023-10-25 Mingxuan Ye , Yufei Kuang , Jie Wang , Rui Yang , Wengang Zhou , Houqiang Li , Feng Wu

The results presented in this paper are refinements of some results presented in a previous paper. Three such refined results are presented. The first one relaxes one of the basic hypotheses assumed in the previous paper, and thus extends…

Complex Variables · Mathematics 2015-05-06 Jorge L. deLyra

Boson sampling can simulate physical problems for which classical simulations are inefficient. However, not all problems simulated by boson sampling are classically intractable. We consider a situation in which it is known that the outcome…

Quantum Physics · Physics 2021-05-03 Wojciech Roga , Masahiro Takeoka

This book chapter establishes connections between the interactive proof tool Isabelle and classical tableau and resolution technology. Isabelle's classical reasoner is described and demonstrated by an extended case study: the Church-Rosser…

Logic in Computer Science · Computer Science 2016-08-31 Lawrence C. Paulson