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We introduce a systematic study of "symmetric quantum circuits", a new restricted model of quantum computation that preserves the symmetries of the problems it solves. This model is well-adapted for studying the role of symmetry in quantum…

Quantum Physics · Physics 2025-10-07 Davi Castro-Silva , Tom Gur , Sergii Strelchuk

In a post-quantum world, where attackers may have access to full-scale quantum computers, all classical password-based authentication schemes will be compromised. Quantum copy-protection prevents adversaries from making copies of existing…

Quantum Physics · Physics 2022-02-01 Sherry Wang , Carlisle Adams , Anne Broadbent

Query complexity is a common tool for comparing quantum and classical computation, and it has produced many examples of how quantum algorithms differ from classical ones. Here we investigate in detail the role that oracles play for the…

Quantum Physics · Physics 2019-08-20 Niklas Johansson , Jan-Åke Larsson

Portfolio construction has been a long-standing topic of research in finance. The computational complexity and the time taken both increase rapidly with the number of investments in the portfolio. It becomes difficult, even impossible for…

Computational Engineering, Finance, and Science · Computer Science 2024-10-17 Queenie Sun , Nicholas Grablevsky , Huaizhang Deng , Pooya Azadi

Common random string model is a popular model in classical cryptography. We study a quantum analogue of this model called the common Haar state (CHS) model. In this model, every party participating in the cryptographic system receives many…

Quantum Physics · Physics 2024-07-12 Prabhanjan Ananth , Aditya Gulati , Yao-Ting Lin

Fully homomorphic encryption is an encryption method with the property that any computation on the plaintext can be performed by a party having access to the ciphertext only. Here, we formally define and give schemes for quantum homomorphic…

Quantum Physics · Physics 2016-01-11 Anne Broadbent , Stacey Jeffery

We analyze the performance of classical and quantum search algorithms from a thermodynamic perspective, focusing on resources such as time, energy, and memory size. We consider two examples that are relevant to post-quantum cryptography:…

Quantum Physics · Physics 2017-10-02 Ray Perlner , Yi-Kai Liu

In this work we review the security vulnerability of Quantum Cryptography with respect to "man-in-the-middle attacks" and the standard authentication methods applied to counteract these attacks. We further propose a modified authentication…

Quantum Physics · Physics 2007-05-23 M. Peev , M. Nölle , O. Maurhardt , T. Lorünser , M. Suda , A. Poppe , R. Ursin , A. Fedrizzi , A. Zeilinger

We introduce hybrid classical-quantum algorithms for problems involving a large classical data set X and a space of models Y such that a quantum computer has superposition access to Y but not X. These algorithms use data reduction…

Quantum Physics · Physics 2020-04-07 Aram W. Harrow

We introduce a method to enforce some symmetries starting from a trial wave-function prepared on quantum computers that might not respect these symmetries. The technique eliminates the necessity for performing the projection on the quantum…

Quantum Physics · Physics 2023-11-09 Edgar Andres Ruiz Guzman , Denis Lacroix

We show that a simple eavesdropper listening in on classical communication between potentially entangled quantum parties will eventually be able to impersonate any of the parties. Furthermore, the attack is efficient if one-way puzzles do…

Quantum Physics · Physics 2026-01-06 Luowen Qian , Mark Zhandry

With rapid advancements in quantum computing, it is widely anticipated that scalable quantum hardware may threaten classical cryptography and hence, the internet and the current information security infrastructure in the coming decade. This…

Shor's algorithm for factoring in polynomial time on a quantum computer\cite{Shor} gives an enormous advantage over all known classical factoring algorithm. We demonstrate how to factor products of large prime numbers using a compiled…

Quantum Physics · Physics 2013-10-28 John A. Smolin , Graeme Smith , Alex Vargo

Grover Search is currently one of the main quantum algorithms leading to hybrid quantum-classical methods that reduce the worst-case time complexity for some combinatorial optimization problems. Specifically, the combination of Quantum…

Quantum Physics · Physics 2024-08-13 Camille Grange , Michael Poss , Eric Bourreau , Vincent T'kindt , Olivier Ploton

The advent of Cryptographically Relevant Quantum Computers (CRQCs) presents a fundamental and existential threat to the forensic integrity and operational safety of Industrial Control Systems (ICS) and Operational Technology (OT) in…

Cryptography and Security · Computer Science 2026-02-26 Yaser Baseri , Edward Waller

Simon's problem is an essential example demonstrating the faster speed of quantum computers than classical computers for solving some problems. The optimal separation between exact quantum and classical query complexities for Simon's…

Quantum Physics · Physics 2021-09-17 Zhenggang Wu , Daowen Qiu , Jiawei Tan , Hao Li , Guangya Cai

Copy-protection allows a software distributor to encode a program in such a way that it can be evaluated on any input, yet it cannot be "pirated" - a notion that is impossible to achieve in a classical setting. Aaronson (CCC 2009) initiated…

Quantum Physics · Physics 2024-07-30 Andrea Coladangelo , Christian Majenz , Alexander Poremba

Numerous conceptually important quantum algorithms rely on a black-box device known as an oracle, which is typically difficult to construct without knowing the answer to the problem that the algorithm is intended to solve. A notable example…

We study the quantum security of key-alternating ciphers (KAC), a natural multi-round generalization of the Even--Mansour construction. KAC abstracts the round structure of practical block ciphers as public permutations interleaved with key…

Quantum Physics · Physics 2025-10-13 Chen Bai , Mehdi Esmaili , Atul Mantri

The software engineering community is facing challenges from quantum computers (QCs). In the era of quantum computing, Shor's algorithm running on QCs can break asymmetric encryption algorithms that classical computers practically cannot.…

Software Engineering · Computer Science 2023-05-16 Lei Zhang , Andriy Miranskyy , Walid Rjaibi , Greg Stager , Michael Gray , John Peck
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