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Related papers: Simon's Algorithm for the Even-Mansour Cipher on Q…

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We investigate the power of quantum computers when they are required to return an answer that is guaranteed to be correct after a time that is upper-bounded by a polynomial in the worst case. We show that a natural generalization of Simon's…

Quantum Physics · Physics 2017-01-04 Gilles Brassard , Peter Hoyer

Practical implementation of many quantum algorithms known today is limited by the coherence time of the executing quantum hardware and quantum sampling noise. Here we present a machine learning algorithm, NISQRC, for qubit-based quantum…

We present the first complete implementation of the offline Simon's algorithm, and estimate its cost to attack the MAC Chaskey, the block cipher PRINCE and the NIST lightweight candidate AEAD scheme Elephant. These attacks require a…

Quantum Physics · Physics 2020-11-16 Xavier Bonnetain , Samuel Jaques

Despite the advent of Grover's algorithm for the unstructured search, its successful implementation on near-term quantum devices is still limited. We apply three strategies to reduce the errors associated with implementing quantum search…

Quantum Physics · Physics 2021-07-13 Kun Zhang , Pooja Rao , Kwangmin Yu , Hyunkyung Lim , Vladimir Korepin

This paper proposes an ultra-low power crypto-engine achieving sub-pJ/bit energy and sub-1K$\mu$$m^2$ in 40nm CMOS, based on the Simon cryptographic algorithm. Energy and area efficiency are pursued via microarchitectural exploration,…

Cryptography and Security · Computer Science 2018-11-22 Sachin Taneja , Massimo Alioto

Quantum search algorithm (also known as Grover's algorithm) lays the foundation for many other quantum algorithms. Although it is very simple, its implementation is limited on noisy intermediate-scale quantum (NISQ) processors. Grover's…

Quantum Physics · Physics 2022-09-28 Kun Zhang , Kwangmin Yu , Vladimir Korepin

In this Letter, we construct the quantum algorithms for the Simon problem and the period-finding problem, which do not require initializing the auxiliary qubits involved in the process of functional evaluation but are as efficient as the…

Quantum Physics · Physics 2007-05-23 Dong Pyo Chi , Jeong San Kim , Soojoon Lee

Daniel Simon's 1994 discovery of an efficient quantum algorithm for solving the hidden subgroup problem (HSP) over Z_2^n provided one of the first algebraic problems for which quantum computers are exponentially faster than their classical…

Quantum Physics · Physics 2007-05-23 Gorjan Alagic , Cristopher Moore , Alexander Russell

The Even-Mansour (EM) cipher is one of the famous constructions for a block cipher. Kuwakado and Morii demonstrated that a quantum adversary can recover its $n$-bit secret keys only with $O(n)$ nonadaptive quantum queries. While the…

Quantum Physics · Physics 2023-08-22 Akinori Kawachi , Yuki Naito

The emergence of noisy intermediate-scale quantum (NISQ) computers has important consequences for cryptographic algorithms. It is theoretically well-established that key algorithms used in cybersecurity are vulnerable to quantum computers…

Cryptography and Security · Computer Science 2023-06-06 Sahay Harshvardhan , Sanil Jain , James E. McClure , Caleb McIrvin , Ngoc Quy Tran

While scalable, fully error corrected quantum computing is years or even decades away, there is considerable interest in noisy intermediate-scale quantum computing (NISQ). In this paper, we introduce the ArsoNISQ framework that determines…

Quantum Physics · Physics 2023-07-25 Sebastian Brandhofer , Simon Devitt , Ilia Polian

Bit-slicing is a software implementation technique that treats an N-bit processor datapath as N parallel single-bit datapaths. The natural spatial redundancy of bit-sliced software can be used to build countermeasures against implementation…

Cryptography and Security · Computer Science 2022-04-14 Richa Singh , Saad Islam , Berk Sunar , Patrick Schaumont

In this paper, we report the first quantum key-recovery attack on a symmetric block cipher design, using classical queries only, with a more than quadratic time speedup compared to the best classical attack. We study the 2XOR-Cascade…

Quantum Physics · Physics 2021-10-07 Xavier Bonnetain , André Schrottenloher , Ferdinand Sibleyras

This work presents a generalized period decomposition approach, significantly improving the practical reliability of Shor's quantum factoring algorithm. Although Shor's algorithm theoretically enables polynomial-time integer factorization,…

Quantum Physics · Physics 2025-12-15 Chih-Chen Liao , Chia-Hsin Liu , Yun-Cheng Tsai

Quantum computing is a promising technology that harnesses the peculiarities of quantum mechanics to deliver computational speedups for some problems that are intractable to solve on a classical computer. Current generation noisy…

Numerical Analysis · Mathematics 2022-09-16 Daan Camps , Efekan Kökcü , Lindsay Bassman , Wibe A. de Jong , Alexander F. Kemper , Roel Van Beeumen

Major obstacles remain to the implementation of macroscopic quantum computing: hardware problems of noise, decoherence, and scaling; software problems of error correction; and, most important, algorithm construction. Finding truly quantum…

Quantum Physics · Physics 2020-07-17 Nathan Thompson , James Steck , Elizabeth Behrman

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

SIMON and SPECK were among the first efficient encryption algorithms introduced for resource-constrained applications. SIMON is suitable for Internet of Things (IoT) devices and has rapidly attracted the attention of the research community…

Cryptography and Security · Computer Science 2026-03-20 Jonathan Cook , Sabih ur Rehman , M. Arif Khan

Quantum computing in the Noisy Intermediate-Scale Quantum (NISQ) era presents significant challenges in differentiating quantum software bugs from hardware noise. Traditional debugging techniques from classical software engineering cannot…

Software Engineering · Computer Science 2025-07-29 Ahmik Virani , Devraj , Anirudh Suresh , Lei Zhang , M V Panduranga Rao

Noisy, intermediate-scale quantum computers come with intrinsic limitations in terms of the number of qubits (circuit "width") and decoherence time (circuit "depth") they can have. Here, for the first time, we demonstrate a recently…

Quantum Physics · Physics 2020-09-02 Thomas Ayral , François-Marie Le Régent , Zain Saleem , Yuri Alexeev , Martin Suchara