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This paper gives an introduction to and overview of the functional quantum programming language QML. The syntax of this language is defined and explained, along with a new QML definition of the quantum teleport algorithm. The categorical…

Quantum Physics · Physics 2008-07-21 Jonathan Grattage

This study examines the simulation of quantum algorithms on a classical computer. The program code implemented on a classical computer will be a straight connection between the mathematical formulation of quantum mechanics and computational…

Quantum Physics · Physics 2007-06-13 Peter Nyman

This paper presents a novel semantics for a quantum programming language by operator algebras, which are known to give a formulation for quantum theory that is alternative to the one by Hilbert spaces. We show that the opposite category of…

Logic in Computer Science · Computer Science 2014-12-31 Kenta Cho

We introduce the language QML, a functional language for quantum computations on finite types. Its design is guided by its categorical semantics: QML programs are interpreted by morphisms in the category FQC of finite quantum computations,…

Quantum Physics · Physics 2008-05-06 Thorsten Altenkirch , Jonathan Grattage

The field of quantum algorithms is vibrant. Still, there is currently a lack of programming languages for describing quantum computation on a practical scale, i.e., not just at the level of toy problems. We address this issue by introducing…

Programming Languages · Computer Science 2013-07-08 Alexander S. Green , Peter LeFanu Lumsdaine , Neil J. Ross , Peter Selinger , Benoît Valiron

With the potential of quantum algorithms to solve intractable classical problems, quantum computing is rapidly evolving and more algorithms are being developed and optimized. Expressing these quantum algorithms using a high-level language…

Quantum Physics · Physics 2020-05-28 N. Khammassi , I. Ashraf , J. v. Someren , R. Nane , A. M. Krol , M. A. Rol , L. Lao , K. Bertels , C. G. Almudever

Quipper is a recently developed programming language for expressing quantum computations. This paper gives a brief tutorial introduction to the language, through a demonstration of how to make use of some of its key features. We illustrate…

Programming Languages · Computer Science 2013-07-08 Alexander S. Green , Peter LeFanu Lumsdaine , Neil J. Ross , Peter Selinger , Benoît Valiron

We present the syntax and rules of deduction of QPEL (Quantum Program and Effect Language), a language for describing both quantum programs, and properties of quantum programs - effects on the appropriate Hilbert space. We show how…

Logic in Computer Science · Computer Science 2014-12-31 Robin Adams

This paper describes a quantum programming environment, named $Q|SI\rangle$. It is a platform embedded in the .Net language that supports quantum programming using a quantum extension of the $\mathbf{while}$-language. The framework of the…

Quantum Physics · Physics 2017-10-27 Shusen Liu , Xin Wang , Li Zhou , Ji Guan , Yinan Li , Yang He , Runyao Duan , Mingsheng Ying

We define a language CQP (Communicating Quantum Processes) for modelling systems which combine quantum and classical communication and computation. CQP combines the communication primitives of the pi-calculus with primitives for measurement…

Quantum Physics · Physics 2007-05-23 Simon Gay , Rajagopal Nagarajan

Quantum computing exploits quantum phenomena such as superposition and entanglement to realize a form of parallelism that is not available to traditional computing. It offers the potential of significant computational speed-ups in quantum…

Quantum simulations are designed to model quantum systems, and many compilation frameworks have been developed for executing such simulations on quantum computers. Most compilers leverage the capabilities of digital and analog quantum…

Quantum Physics · Physics 2025-09-26 Liyi Li , Federico Zahariev , Chandeepa Dissanayake , Jae Swanepoel , Amr Sabry , Mark S. Gordon

Quantum computations operate in the quantum world. For their results to be useful in any way, there is an intrinsic necessity of cooperation and communication controlled by the classical world. As a consequence, full formal descriptions of…

Quantum Physics · Physics 2007-05-23 Philippe Jorrand , Marie Lalire

Quantum computing is a promising approach of computation that is based on equations from Quantum Mechanics. A simulator for quantum algorithms must be capable of performing heavy mathematical matrix transforms. The design of the simulator…

Emerging Technologies · Computer Science 2013-02-25 A. S. Tolba , M. Z. Rashad , M. A. El-Dosuky

The quantum assembly language (QASM) is a popular intermediate representation used in many quantum compilation and simulation tools to describe quantum circuits. Currently, multiple different dialects of QASM are used in different quantum…

Quantum Physics · Physics 2018-05-25 N. Khammassi , G. G. Guerreschi , I. Ashraf , J. W. Hogaboam , C. G. Almudever , K. Bertels

The goal of the presented paper is to provide an introduction to the basic computational models used in quantum information theory. We review various models of quantum Turing machine, quantum circuits and quantum random access machine…

Programming Languages · Computer Science 2011-12-06 J. A. Miszczak

It is becoming increasingly clear that, if a useful device for quantum computation will ever be built, it will be embodied by a classical computing machine with control over a truly quantum subsystem, this apparatus performing a mixture of…

Programming Languages · Computer Science 2009-11-07 S. Bettelli , L. Serafini , T. Calarco

We introduce Qunity, a new quantum programming language designed to treat quantum computing as a natural generalization of classical computing. Qunity presents a unified syntax where familiar programming constructs can have both quantum and…

Programming Languages · Computer Science 2025-08-08 Finn Voichick , Liyi Li , Robert Rand , Michael Hicks

Quantum computing, with its vast potential, is fundamentally shaped by the intricacies of quantum mechanics, which both empower and constrain its capabilities. The development of a universal, robust quantum programming language has emerged…

Quantum Physics · Physics 2025-06-03 Viktorija Bezganovic , Marco Lewis , Sadegh Soudjani , Paolo Zuliani

In the previous article, we presented a quantum-inspired framework for modeling semantic representation and processing in Large Language Models (LLMs), drawing upon mathematical tools and conceptual analogies from quantum mechanics to offer…

Artificial Intelligence · Computer Science 2025-05-26 Timo Aukusti Laine
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