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This work presents a routing-aware pruning strategy for quantum circuits executed on Noisy Intermediate-Scale Quantum (NISQ) devices. We propose a method to remove parametric controlled rotations whose small rotation angles do not justify…

Noisy Intermediate-Scale Quantum (NISQ) algorithms, which run on noisy quantum computers should be carefully designed to boost the output state fidelity. While several compilation approaches have been proposed to minimize circuit errors,…

Quantum Physics · Physics 2022-02-01 Vedika Saravanan , Samah Mohamed Saeed

Implementing quantum operations in the form of natural Hamiltonian dynamics is desirable, since they almost require no external control or feedback. In this work, we propose a NISQ-friendly quantum-classical hybrid approach to designing a…

Quantum Physics · Physics 2024-09-23 Arunava Majumder , Dylan Lewis , Akshaya Jayashankar , V. S. Prasannaa , Sougato Bose

Quantum circuits currently constitute a dominant model for quantum computation. Our work addresses the problem of constructing quantum circuits to implement an arbitrary given quantum computation, in the special case of two qubits. We…

Quantum Physics · Physics 2009-11-07 Stephen S. Bullock , Igor L. Markov

The development of a universal fault-tolerant quantum computer that can solve efficiently various difficult computational problems is an outstanding challenge for science and technology. In this work, we propose a technique for an efficient…

Quantum Physics · Physics 2024-07-02 Anastasiia S. Nikolaeva , Evgeniy O. Kiktenko , Aleksey K. Fedorov

An efficient implementation of the Toffoli gate is of conceptual importance for running various quantum algorithms, including Grover's search and Shor's integer factorization. However, direct implementation of the Toffoli gate either…

To assess whether a gate-based quantum algorithm can be executed successfully on a noisy intermediate-scale quantum (NISQ) device, both complexity and actual value of quantum resources should be considered carefully. Based on quantum phase…

Quantum Physics · Physics 2021-07-20 Shilu Yan , Tong Dou , Runqiu Shu , Wei Cui

In this study, we propose an efficient quantum multiplication approach based on a QFT-assisted parallelized addition scheme. The multiplication stage is implemented using a structure composed entirely of Toffoli gates, which generate…

Quantum Physics · Physics 2026-04-03 Murat Kurtand Selçuk Çakmak , Azmi Gençten

Currently, quantum computing is developing at a high speed because its high parallelism and high computing power bring new solutions to many fields. However, due to chip process technology, it is difficult to achieve full coupling of all…

Quantum Physics · Physics 2022-09-09 Xin-miao Chen , Shi Wang , Yong-jin Ye , Bo Jiang , Yong-zheng Wu

The quantum Fourier transform (QFT) brings efficiency in many respects, especially usage of resource, for most operations on quantum computers. In this study, the existing QFT-based and non-QFT-based quantum arithmetic operations are…

Information Theory · Computer Science 2020-10-09 Engin Şahin

This paper addresses the practical aspects of quantum algorithms used in numerical integration, specifically their implementation on Noisy Intermediate-Scale Quantum (NISQ) devices. Quantum algorithms for numerical integration utilize…

Quantum Physics · Physics 2020-04-30 Kwangmin Yu , Hyunkyung Lim , Pooja Rao

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

Quantum algorithms on the noisy intermediate-scale quantum (NISQ) devices are expected to simulate quantum systems that are classically intractable to demonstrate quantum advantages. However, the non-negligible gate error on the NISQ…

Quantum Physics · Physics 2021-12-06 Joseph C. Aulicino , Trevor Keen , Bo Peng

Quantum circuits for mathematical functions such as division are necessary to use quantum computers for scientific computing. Quantum circuits based on Clifford+T gates can easily be made fault-tolerant but the T gate is very costly to…

Quantum Physics · Physics 2018-09-27 Himanshu Thapliyal , Edgard Muñoz-Coreas , T. S. S. Varun , Travis S. Humble

Currently available quantum computing hardware platforms have limited 2-qubit connectivity among their addressable qubits. In order to run a generic quantum algorithm on such a platform, one has to transform the initial logical quantum…

Quantum Physics · Physics 2020-04-28 Beatrice Nash , Vlad Gheorghiu , Michele Mosca

The circuit-level implementation of a quantum string-matching algorithm, which matches a search string (pattern) of length $M$ inside a longer text of length $N$, has already been demonstrated in the literature to outperform its classical…

Quantum Physics · Physics 2023-04-07 Amit Saha , Om Khanna

Quantum comparators and modular arithmetic are fundamental in many quantum algorithms. Current research mainly focuses on operations between two quantum states. However, various applications, such as integer factorization, optimization,…

Quantum Physics · Physics 2023-05-17 Yewei Yuan , Chao Wang , Bei Wang , Zhao-Yun Chen , Meng-Han Dou , Yu-Chun Wu , Guo-Ping Guo

Research has shown that quantum walks can accelerate certain quantum algorithms and act as a universal paradigm for quantum processing. The discrete-time quantum walk (DTQW) model, owing to its discrete nature, stands out as one of the most…

Quantum Physics · Physics 2024-08-06 Biswayan Nandi , Sandipan Singha , Ankan Datta , Amit Saha , Amlan Chakrabarti

Noisy Intermediate-Scale Quantum (NISQ) hardware has unavoidable noises, and crosstalk error is a significant error source. When multiple quantum operations are executed simultaneously, the quantum state can be corrupted due to the…

Hardware Architecture · Computer Science 2021-06-04 Siyuan Niu , Aida Todri-Sanial

Building a quantum computer is a daunting challenge since it requires good control but also good isolation from the environment to minimize decoherence. It is therefore important to realize quantum gates efficiently, using as few operations…

Quantum Physics · Physics 2019-10-28 T. Bækkegaard , L. B. Kristensen , N. J. S. Loft , C. K. Andersen , D. Petrosyan , N. T. Zinner
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