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Traditional cryptography is suffering a huge threat from the development of quantum computing. While many currently used public-key cryptosystems would be broken by Shor's algorithm, the effect of quantum computing on symmetric ones is…

Quantum Physics · Physics 2018-07-24 Huiqin Xie , Li Yang

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…

The concepts of quantum correlation complexity and quantum communication complexity were recently proposed to quantify the minimum amount of resources needed in generating bipartite classical or quantum states in the single-shot setting.…

Quantum Physics · Physics 2014-07-21 Rahul Jain , Zhaohui Wei , Penghui Yao , Shengyu Zhang

In quantum cryptography, there could be a new world, Microcrypt, where cryptography is possible but one-way functions (OWFs) do not exist. Although many fundamental primitives and useful applications have been found in Microcrypt, they lack…

Quantum Physics · Physics 2024-10-08 Tomoyuki Morimae , Keita Xagawa

Fundamental principles of quantum mechanics have inspired many new research directions, particularly in quantum cryptography. One such principle is quantum no-cloning which has led to the emerging field of revocable cryptography. Roughly…

Quantum Physics · Physics 2025-04-16 Prabhanjan Ananth , Saachi Mutreja , Alexander Poremba

Cryptography is an art and science of secure communication. Here the sender and receiver are guaranteed the security through encryption of their data, with the help of a common key. Both the parties should agree on this key prior to…

Cryptography and Security · Computer Science 2014-07-10 Minal Lopes , Nisha Sarwade

The conventional paradigm of quantum computing is discrete: it utilizes discrete sets of gates to realize bitstring-to-bitstring mappings, some of them arguably intractable for classical computers. In parameterized quantum approaches, the…

Quantum Physics · Physics 2025-12-12 Adrián Pérez-Salinas , Mahtab Yaghubi Rad , Alice Barthe , Vedran Dunjko

The existence of one-way functions (OWFs) forms the minimal assumption in classical cryptography. However, this is not necessarily the case in quantum cryptography. One-way puzzles (OWPuzzs), introduced by Khurana and Tomer, provide a…

Quantum Physics · Physics 2025-07-03 Taiga Hiroka , Min-Hsiu Hsieh , Tomoyuki Morimae

Cryptographic group actions are a leading contender for post-quantum cryptography, and have also been used in the development of quantum cryptographic protocols. In this work, we explore quantum state group actions, which consist of a group…

Quantum Physics · Physics 2024-10-14 Saachi Mutreja , Mark Zhandry

The conditional disclosure of secrets (CDS) setting is among the most basic primitives studied in information-theoretic cryptography. Motivated by a connection to non-local quantum computation and position-based cryptography, CDS with…

Quantum Physics · Physics 2026-04-01 Uma Girish , Alex May , Leo Orshansky , Chris Waddell

Quantum computing poses fundamental risks to classical blockchain systems by undermining widely used cryptographic primitives. In response, two major research directions have emerged: post-quantum blockchains, which integrate…

Cryptography and Security · Computer Science 2026-01-21 Saurav Ghosh , Niloy Deb Roy Mishu

Scientists have demonstrated that quantum computing has presented novel approaches to address computational challenges, each varying in complexity. Adapting problem-solving strategies is crucial to harness the full potential of quantum…

Computational Complexity · Computer Science 2024-09-13 Arash Vaezi , Ali Movaghar , Mohammad Ghodsi , Seyed Mohammad Hussein Kazemi , Negin Bagheri Noghrehy , Seyed Mohsen Kazemi

Encryption schemes attempt to provide a means for entities to communicate confidentially over a public channel. Such schemes have been studied for centuries, and their use has become widespread. However, developments in the area of quantum…

Quantum Physics · Physics 2009-09-29 Michael Stephen Brown

Quantum homomorphic encryption, which allows computation by a server directly on encrypted data, is a fundamental primitive out of which more complex quantum cryptography protocols can be built. For such constructions to be possible,…

Quantum Physics · Physics 2023-04-19 Yanglin Hu , Yingkai Ouyang , Marco Tomamichel

Construction of explicit quantum circuits follows the notion of the "standard circuit model" introduced in the solid and profound analysis of elementary gates providing quantum computation. Nevertheless the model is not always optimal (e.g.…

Quantum Physics · Physics 2007-05-23 K. Ch. Chatzisavvas , C. Daskaloyannis , C. P. Panos

We consider quantum interpolation of polynomials. We imagine a quantum computer with black-box access to input/output pairs (x_i, f(x_i)), where f is a degree-d polynomial, and we wish to compute f(0). We give asymptotically tight quantum…

Quantum Physics · Physics 2010-03-19 Daniel M. Kane , Samuel A. Kutin

The advanced notebooks, mobile phones, and internet applications in today's world that we use are all entrenched in classical communication bits of zeros and ones. Classical internet has laid its foundation originating from the amalgamation…

Quantum Physics · Physics 2021-06-02 Amoldeep Singh , Kapal Dev , Harun Siljak , Hem Dutt Joshi , Maurizio Magarini

The ability to perform computations on encrypted data is a powerful tool for protecting privacy. Recently, protocols to achieve this on classical computing systems have been found. Here we present an efficient solution to the quantum…

Quantum Physics · Physics 2014-03-05 K. Fisher , A. Broadbent , L. K. Shalm , Z. Yan , J. Lavoie , R. Prevedel , T. Jennewein , K. J. Resch

The advantage that many quantum algorithms have over their classical counterparts may be lost when the results are extracted as classical data (output problem). One example are eigenpair solvers, which encode the eigenpairs in a quantum…

Quantum Physics · Physics 2025-11-13 Sven Danz

Recently, quantum computing experiments have for the first time exceeded the capability of classical computers to perform certain computations -- a milestone termed "quantum computational advantage." However, verifying the output of the…

Quantum Physics · Physics 2023-09-13 Gregory D. Kahanamoku-Meyer