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Efficient realization of quantum algorithms is among main challenges on the way towards practical quantum computing. Various libraries and frameworks for quantum software engineering have been developed. Here we present a software package…

Quantum Physics · Physics 2022-07-18 A. V. Antipov , E. O. Kiktenko , A. K. Fedorov

The rapid development of noisy intermediate-scale quantum (NISQ) devices has raised the question of whether or not these devices will find commercial use. Unfortunately, a major shortcoming of many proposed NISQ-amenable algorithms, such as…

Quantum Physics · Physics 2021-10-22 Amara Katabarwa , Alex Kunitsa , Borja Peropadre , Peter Johnson

A massive gap exists between current quantum computing (QC) prototypes, and the size and scale required for many proposed QC algorithms. Current QC implementations are prone to noise and variability which affect their reliability, and yet…

When working with algorithms on quantum devices, quantum memory becomes a crucial bottleneck due to low qubit count in NISQ-era devices. In this context, the concept of `divide and compute', wherein a quantum circuit is broken into several…

Quantum Physics · Physics 2022-08-25 Turbasu Chatterjee , Arnav Das , Shah Ishmam Mohtashim , Amit Saha , Amlan Chakrabarti

Quantum algorithms have begun to surpass classical ones in several computation fields, yet practical application remains challenging due to hardware and software limitations. Here, we introduce a quantum algorithm that quadratically…

Quantum Physics · Physics 2023-12-15 Saul Gonzalez , Parfait Atchade-Adelomou

A universal fault-tolerant quantum computer that can solve efficiently problems such as integer factorization and unstructured database search requires millions of qubits with low error rates and long coherence times. While the experimental…

Quantum machine learning has proven to be a fruitful area in which to search for potential applications of quantum computers. This is particularly true for those available in the near term, so called noisy intermediate-scale quantum (NISQ)…

Quantum Physics · Physics 2022-05-20 Brian Coyle

Superconducting qubits are leading candidates in the race to build a quantum computer capable of realizing computations beyond the reach of modern supercomputers. The superconducting qubit modality has been used to demonstrate prototype…

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

Quantum-circuit optimization is essential for any practical realization of quantum computation, in order to beat decoherence. We present a scheme for implementing the final stage in the compilation of quantum circuits, i.e., for finding the…

Quantum Physics · Physics 2007-05-23 Juha J. Vartiainen , Antti O. Niskanen , Mikio Nakahara , Martti M. Salomaa

First quantum computers very recently have demonstrated "quantum supremacy" or "quantum advantage": Executing a computation that would have been impossible on a classical machine. Today's quantum computers follow the NISQ paradigm: They…

Quantum Physics · Physics 2023-01-30 Sebastian Brandhofer , Simon Devitt , Thomas Wellens , Ilia Polian

For most practical applications, quantum algorithms require large resources in terms of qubit number, much larger than those available with current NISQ processors. With the network and communication functionalities provided by the Quantum…

Quantum Physics · Physics 2023-10-03 Davide Ferrari , Stefano Carretta , Michele Amoretti

Permutational Quantum Computing (PQC) [\emph{Quantum~Info.~Comput.}, \textbf{10}, 470--497, (2010)] is a natural quantum computational model conjectured to capture non-classical aspects of quantum computation. An argument backing this…

Quantum Physics · Physics 2018-08-15 Vojtech Havlicek , Sergii Strelchuk

Quantum computers represent a radical technological breakthrough in information processing by leveraging the principles of quantum mechanics to solve highly complex problems beyond the reach of classical systems. However, in the current…

Quantum Physics · Physics 2025-08-26 Marcos Guillermo Lammers , Federico Hernán Holik , Alejandro Fernández

Hardware-efficient circuits employed in Quantum Machine Learning are typically composed of alternating layers of uniformly applied gates. High-speed numerical simulators for such circuits are crucial for advancing research in this field. In…

The quantum adder is an essential attribute of a quantum computer, just as classical adder is needed for operation of a digital computer. We model the quantum full adder as a realistic complex algorithm on a large number of qubits in an…

Quantum Physics · Physics 2007-05-23 D. I. Kamenev , G. P. Berman , R. B. Kassman , V. I. Tsifrinovich

Given the impending timeline of developing good-quality quantum processing units, it is time to rethink the approach to advance quantum computing research. Rather than waiting for quantum hardware technologies to mature, we need to start…

Quantum Physics · Physics 2024-05-12 Koen Bertels , Emma Turki , Tamara Sarac , Aritra Sarkar , Imran Ashraf

Contemporary quantum technologies face major difficulties in fault tolerant quantum computing with error correction, and focus instead on various shades of quantum simulation (Noisy Intermediate Scale Quantum, NISQ) devices, analogue and…

Quantum Physics · Physics 2023-11-06 Joana Fraxanet , Tymoteusz Salamon , Maciej Lewenstein

It is imperative to compile quantum circuits for Noisy Intermediate-Scale Quantum (NISQ) devices because of the limited connectivity of physical qubits and the high error rates of gate operations. One of the most critical steps in quantum…

Quantum Physics · Physics 2023-03-07 Soshun Naito , Yoshihiko Hasegawa , Yoshiki Matsuda , Shu Tanaka

Over the past decade, research in quantum computing has tended to fall into one of two camps: near-term intermediate scale quantum (NISQ) and fault-tolerant quantum computing (FTQC). Yet, a growing body of work has been investigating how to…

Quantum Physics · Physics 2024-09-02 Amara Katabarwa , Katerina Gratsea , Athena Caesura , Peter D. Johnson