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A very elementary introduction to quantum algebras is presented and a few examples of their physical applications are mentioned.

Mathematical Physics · Physics 2007-05-23 R. Jaganathan

Quantum computing is no longer only a scientific interest but is rapidly becoming an industrially available technology that can potentially overcome the limits of classical computation. Over the last years, all major companies have provided…

Software Engineering · Computer Science 2022-04-12 Manuel De Stefano , Fabiano Pecorelli , Dario Di Nucci , Fabio Palomba , Andrea De Lucia

Qudit-based quantum computation offers unique advantages over qubit-based systems in terms of noise mitigation capabilities as well as algorithmic complexity improvements. However, the software ecosystem for multi-state quantum systems is…

Quantum Physics · Physics 2023-11-14 Daniel Volya , Prabhat Mishra

Refactoring is a crucial technique for improving the efficiency and maintainability of software by restructuring its internal design while preserving its external behavior. While classical programs have benefited from various refactoring…

Software Engineering · Computer Science 2023-06-21 Jianjun Zhao

Semiconductors, a significant type of material in the information era, are becoming more and more powerful in the field of quantum information. In the last decades, semiconductor quantum computation was investigated thoroughly across the…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Xin Zhang , Hai-Ou Li , Gang Cao , Ming Xiao , Guang-Can Guo , Guo-Ping Guo

We define some of the programming and system-level challenges facing the application of quantum processing to high-performance computing. Alongside barriers to physical integration, prominent differences in the execution of quantum and…

Quantum Physics · Physics 2017-12-06 Keith A. Britt , Fahd A. Mohiyaddin , Travis S. Humble

There has been no lack of coverage in the past few years in scientific journals of the topic of quantum computation. Rightly so, as this is a novel idea with--so far--at least one very important practical application (prime factorisation)…

Quantum Physics · Physics 2007-05-23 W. L. Fouché , J. Heidema , P. H. Potgieter

Quantum systems have an exponentially large degree of freedom in the number of particles and hence provide a rich dynamics that could not be simulated on conventional computers. Quantum reservoir computing is an approach to use such a…

Quantum Physics · Physics 2020-11-11 Keisuke Fujii , Kohei Nakajima

Modern quantum programming languages integrate quantum resources and classical control. They must, on the one hand, be linearly typed to reflect the no-cloning property of quantum resources. On the other hand, high-level and practical…

Programming Languages · Computer Science 2023-06-22 Peng Fu , Kohei Kishida , Peter Selinger

There are many falsely intuitive introductions to quantum theory and quantum computation in a handwave. There are also numerous documents which teach those subjects in a mathematically sound manner. To my knowledge this paper is the…

Quantum Physics · Physics 2009-11-25 Pablo Arrighi

Quantum computing exposes the brilliance of quantum mechanics through computer science and, as such, gives oneself a marvelous and exhilarating journey to go through. This article leads along that journey with a historical and current…

Popular Physics · Physics 2024-03-18 Robert Kudelić

Hybrid quantum-classical algorithms have drawn much attention because of their potential to realize the "quantum advantage" in noisy, intermediate-scale quantum (NISQ) devices. Here we introduce QRunes, a cross-platform quantum language for…

Quantum Physics · Physics 2019-01-25 Zhao-Yun Chen , Guo-Ping Guo

Quantum computers hold the promise to solve certain computational task much more efficiently than classical computers. We review the recent experimental advancements towards a quantum computer with trapped ions. In particular, various…

Quantum Physics · Physics 2008-11-20 H. Haeffner , C. F. Roos , R. Blatt

Quantum computation is an emerging technology that promises a wide range of possible use cases. This promise is primarily based on algorithms that are unlikely to be viable over the coming decade. For near-term applications, quantum…

Artificial Intelligence · Computer Science 2020-12-04 James R. Wootton

Quantum machine learning is a rapidly evolving field of research that could facilitate important applications for quantum computing and also significantly impact data-driven sciences. In our work, based on various arguments from complexity…

As a result of the capabilities of quantum information, the science of quantum information processing is now a prospering, interdisciplinary field focused on better understanding the possibilities and limitations of the underlying theory,…

Quantum Physics · Physics 2007-05-23 E. Knill , R. Laflamme , H. Barnum , D. Dalvit , J. Dziarmaga , J. Gubernatis , L. Gurvits , G. Ortiz , L. Viola , W. H. Zurek

In a previous paper, we described a computer program called Qubiter which can decompose an arbitrary unitary matrix into elementary operations of the type used in quantum computation. In this paper, we describe a method of reducing the…

Quantum Physics · Physics 2007-05-23 Robert R. Tucci

Quantum computing is presently undergoing rapid development to achieve a significant speedup promised in certain applications. Nonetheless, scaling quantum computers remains a formidable engineering challenge, prompting exploration of…

A quantum processor is a device with a data register and a program register. The input to the program register determines the operation, which is a completely positive linear map, that will be performed on the state in the data register. We…

Quantum Physics · Physics 2009-11-07 Mark Hillery , Mario Ziman , Vladimir Buzek

QuTiP, the Quantum Toolbox in Python, has been at the forefront of open-source quantum software for the past 13 years. It is used as a research, teaching, and industrial tool, and has been downloaded millions of times by users around the…