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Identifying computational tasks suitable for (future) quantum computers is an active field of research. Here we explore utilizing quantum computers for the purpose of solving differential equations. We consider two approaches: (i) basis…

Quantum Physics · Physics 2021-07-14 Benjamin Zanger , Christian B. Mendl , Martin Schulz , Martin Schreiber

While advances in quantum computing promise new opportunities for scientific advancement (e.g., material science and machine learning), many people are not aware that they also threaten the widely deployed cryptographic algorithms that are…

Computers and Society · Computer Science 2021-01-06 Matt Campagna , Brian LaMacchia , David Ott

Quantum key distribution (QKD) is the most widely studied quantum cryptographic model that exploits quantum effects to achieve information-theoretically secure key establishment. Conventional QKD contains public classical post-processing…

Quantum Physics · Physics 2026-01-07 Zixuan Hu , Zhenyu Li

In adversarial settings, where attackers can deliberately and strategically corrupt quantum data, standard quantum error correction reaches its limits. It can only correct up to half the code distance and must output a unique answer.…

Quantum Physics · Physics 2025-09-12 Rahul Arvind , Nikhil Bansal , Dax Enshan Koh , Tobias Haug , Kishor Bharti

Recent results of Kaplan et al., building on previous work by Kuwakado and Morii, have shown that a wide variety of classically-secure symmetric-key cryptosystems can be completely broken by quantum chosen-plaintext attacks (qCPA). In such…

Quantum Physics · Physics 2017-10-11 Gorjan Alagic , Alexander Russell

Quantum block encoding (QBE) is a crucial step in the development of most quantum algorithms, as it provides an embedding of a given matrix into a suitable larger unitary matrix. Historically, the development of efficient techniques for QBE…

Quantum Physics · Physics 2026-03-20 Giacomo Antonioli , Paola Boito , Gianna M. Del Corso , Margherita Porcelli

With the emergence of an information society, the idea of protecting sensitive data is steadily gaining importance. Conventional encryption methods may not be sufficient to guarantee data protection in the future. Quantum key distribution…

Quantum Physics · Physics 2016-09-20 Nitin Jain , Birgit Stiller , Imran Khan , Dominique Elser , Christoph Marquardt , Gerd Leuchs

Quantum key distribution (QKD) promises secure key agreement by using quantum mechanical systems. We argue that QKD will be an important part of future cryptographic infrastructures. It can provide long-term confidentiality for encrypted…

Quantum Physics · Physics 2010-01-25 Douglas Stebila , Michele Mosca , Norbert Lütkenhaus

The development of large quantum computers will have dire consequences for cryptography. Most of the symmetric and asymmetric cryptographic algorithms are vulnerable to quantum algorithms. Grover's search algorithm gives a square root time…

Cryptography and Security · Computer Science 2022-02-08 Ritik Bavdekar , Eashan Jayant Chopde , Ashutosh Bhatia , Kamlesh Tiwari , Sandeep Joshua Daniel , Atul

Quantum machine learning is emerging as a promising application of quantum computing due to its distinct way of encoding and processing data. It is believed that large-scale quantum machine learning demonstrates substantial advantages over…

Quantum Physics · Physics 2025-01-15 Kiwmann Hwang , Hyang-Tag Lim , Yong-Su Kim , Daniel K. Park , Yosep Kim

The so-called welded tree problem provides an example of a black-box problem that can be solved exponentially faster by a quantum walk than by any classical algorithm. Given the name of a special ENTRANCE vertex, a quantum walk can find…

Quantum Physics · Physics 2023-02-02 Andrew M. Childs , Matthew Coudron , Amin Shiraz Gilani

In this work, we propose a new way to (non-interactively, verifiably) demonstrate quantum advantage by solving the average-case $\mathsf{NP}$ search problem of finding a solution to a system of (underdetermined) constant degree multivariate…

Quantum Physics · Physics 2025-09-10 Pierre Briaud , Itai Dinur , Riddhi Ghosal , Aayush Jain , Paul Lou , Amit Sahai

Locating the boundaries of consecutive blocks of quantum information is a fundamental building block for advanced quantum computation and quantum communication systems. We develop a coding theoretic method for properly locating boundaries…

Quantum Physics · Physics 2013-03-01 Yuichiro Fujiwara

We propose an information-theoretically secure encryption scheme for classical messages with quantum ciphertexts that offers detection of eavesdropping attacks, and re-usability of the key in case no eavesdropping took place: the entire key…

Quantum Physics · Physics 2017-05-22 Serge Fehr , Louis Salvail

Quantum Key Distribution or QKD provides symmetric key distribution using the quantum mechanics/channels with new security properties. The security of QKD relies on the difficulty of the quantum state discrimination problem. We discover…

Quantum Physics · Physics 2021-02-23 Yaroslav Balytskyi , Manohar Raavi , Anatoliy Pinchuk , Sang-Yoon Chang

Quantum key distribution (QKD) protocol has been proved to provide unconditionally secure key between two remote legitimate users in theory. Key distribution signals are transmitted in a quantum channel which is established by the…

Quantum Physics · Physics 2018-03-14 Yang-Yang Fei , Xiang-Dong Meng , Ming Gao , Hong Wang , Zhi Ma

Several cryptographic protocols constructed based on less-known algorithmic problems, such as those in non-commutative groups, group rings, semigroups, etc., which claim quantum security, have been broken through classical reduction methods…

Cryptography and Security · Computer Science 2022-07-28 Simran Tinani

Quantum algorithms have been widely studied in the context of combinatorial optimization problems. While this endeavor can often analytically and practically achieve quadratic speedups, theoretical and numeric studies remain limited,…

Quantum Physics · Physics 2023-11-07 Lucas T. Brady , Stuart Hadfield

The aura of mystery surrounding quantum physics makes it difficult to advance quantum technologies. Demystification requires methodological techniques that explain the basics of quantum technologies without metaphors and abstract…

Popular Physics · Physics 2021-05-05 L. I. Stefanenko , A. G. Sergeev , Y. V. Kurochkin , V. E. Rodimin

We introduce an algorithm for combinatorial search on quantum computers that is capable of significantly concentrating amplitude into solutions for some NP search problems, on average. This is done by exploiting the same aspects of problem…

Quantum Physics · Physics 2007-05-23 Tad Hogg
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