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Linear types enforce no-cloning and no-deleting theorems in functional quantum programming. However, in imperative quantum programming, they have not gained widespread adoption. This work aims to develop a quantum type system that combines…

Programming Languages · Computer Science 2025-10-16 Mark Koch , Agustín Borgna , Craig Roy , Alan Lawrence , Kartik Singhal , Seyon Sivarajah , Ross Duncan

We present IQu, namely a quantum programming language that extends Reynold's Idealized Algol, the paradigmatic core of Algol-like languages. IQu combines imperative programming with high-order features, mediated by a simple type theory. IQu…

Logic in Computer Science · Computer Science 2019-04-16 Luca Paolini , Luca Roversi , Margherita Zorzi

We introduce ProjectQ, an open source software effort for quantum computing. The first release features a compiler framework capable of targeting various types of hardware, a high-performance simulator with emulation capabilities, and…

Quantum Physics · Physics 2018-02-01 Damian S. Steiger , Thomas Häner , Matthias Troyer

The classical lambda calculus may be regarded both as a programming language and as a formal algebraic system for reasoning about computation. It provides a computational model equivalent to the Turing machine, and continues to be of…

Quantum Physics · Physics 2007-05-23 Andre van Tonder

We propose a runtime architecture that can be used in the development of a quantum programming language and its programming environment. The proposed runtime architecture enables dynamic interaction between classical and quantum data…

Quantum Physics · Physics 2020-06-02 Evandro Chagas Ribeiro da Rosa , Rafael de Santiago

Natural language processing (NLP) is the field that attempts to make human language accessible to computers, and it relies on applying a mathematical model to express the meaning of symbolic language. One such model, DisCoCat, defines how…

Computation and Language · Computer Science 2022-05-16 Matt Wright

We present a quantum computing approach to analyzing Large Language Model (LLM) embeddings, leveraging complex-valued representations and modeling semantic relationships using quantum mechanical principles. By establishing a direct mapping…

Quantum Physics · Physics 2025-12-03 Timo Aukusti Laine

Quantum based systems are a relatively new research area for that different modelling languages including process calculi are currently under development. Encodings are often used to compare process calculi. Quality criteria are used then…

Logic in Computer Science · Computer Science 2024-08-07 Anna Schmitt , Kirstin Peters , Yuxin Deng

Natural language processing (NLP) problems are ubiquitous in classical computing, where they often require significant computational resources to infer sentence meanings. With the appearance of quantum computing hardware and simulators, it…

Quantum Physics · Physics 2020-10-09 Lee J. O'Riordan , Myles Doyle , Fabio Baruffa , Venkatesh Kannan

Quantum natural language processing (QNLP) offers a novel approach to semantic modeling by embedding compositional structure directly into quantum circuits. This paper investigates the application of QNLP models to the task of Natural…

Computation and Language · Computer Science 2025-10-21 Ling Sun , Peter Sullivan , Michael Martin , Yun Zhou

This document describes a quantum assembly language (QASM) called OpenQASM that is used to implement experiments with low depth quantum circuits. OpenQASM represents universal physical circuits over the CNOT plus SU(2) basis with…

Quantum Physics · Physics 2017-07-17 Andrew W. Cross , Lev S. Bishop , John A. Smolin , Jay M. Gambetta

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

We introduce an abstract machine architecture for classical/quantum computations---including compilation---along with a quantum instruction language called Quil for explicitly writing these computations. With this formalism, we discuss…

Quantum Physics · Physics 2017-02-20 Robert S. Smith , Michael J. Curtis , William J. Zeng

With a view towards models of quantum computation and/or the interpretation of linear logic, we define a functional language where all functions are linear operators by construction. A small step operational semantic (and hence an…

Quantum Physics · Physics 2017-08-29 Pablo Arrighi , Gilles Dowek

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

Large language models (LLMs) have demonstrated good performance in general code generation; however, their capabilities in quantum code generation remain insufficiently studied. This paper presents QuanBench, a benchmark for evaluating LLMs…

Software Engineering · Computer Science 2025-10-21 Xiaoyu Guo , Minggu Wang , Jianjun Zhao

This is a story about making quantum computers speak, and doing so in a quantum-native, compositional and meaning-aware manner. Recently we did question-answering with an actual quantum computer. We explain what we did, stress that this was…

Quantum Physics · Physics 2021-07-15 Bob Coecke , Giovanni de Felice , Konstantinos Meichanetzidis , Alexis Toumi

To study quantum computation, it might be helpful to generalize structures from language and automata theory to the quantum case. To that end, we propose quantum versions of finite-state and push-down automata, and regular and context-free…

Quantum Physics · Physics 2009-09-25 Cristopher Moore , James P. Crutchfield

Quantum devices with low qubits are common in the Noisy Intermediate-Scale Quantum (NISQ) era. However, Quantum Neural Network (QNN) running on low-qubit quantum devices would be difficult since it is based on Variational Quantum Circuit…

Quantum Physics · Physics 2022-05-27 Zhenhou Hong , Jianzong Wang , Xiaoyang Qu , Chendong Zhao , Wei Tao , Jing Xiao

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