This paper describes a detailed analysis of the fundamental components involved in the quantum algorithms design in accordance with the narrowly defined software and hardware for the implementation of quantum algorithms and the stages of their design. A modular development and subsequent simulation of the process of super dense quantum coding and quantum teleportation was realized. In accordance with the use of vector and matrix algebra, within the framework of quantum algorithms, the “quantum” software is defined. This software consists of quantum intermediate representation of information, quantum language of physical operations and quantum assembler. The software environment for quantum algorithms design and further implementation according to the defined stages is proposed and considered.
This paper describes a detailed analysis of the fundamental components involved in the quantum algorithms design in accordance with the narrowly defined software and hardware for the implementation of quantum algorithms and the stages of their design. A modular development and subsequent simulation of the process of super dense quantum coding and quantum teleportation was realized. In accordance with the use of vector and matrix algebra, within the framework of quantum algorithms, the “quantum” software is defined. This software consists of quantum intermediate representation of information, quantum language of physical operations and quantum assembler. The software environment for quantum algorithms design and further implementation according to the defined stages is proposed and considered.
The theory of quantum computing is being actively developed. Despite the fact that quantum computing device has some peculiarities, any task designed for a classical computer can be reproduced on a quantum system. The aim of the research is to develop a methodology for constructing models of quantum systems simulators using hardware simulators. The subject of this research is methods for constructing quantum computing devices and systems. In the course of the research, the system analysis methods and computer modeling, methods of object-oriented design were used. Modern high-level languages were used to solve the problems of constructing a modular quantum system with an open architecture. The work of a quantum microarchitecture using an algorithm for optimizing a quantum computational process has been developed and modeled. A universal methodology for modeling algorithms of a quantum nature using the hardware core and requirements for the mutual operation of software and hardware components for the efficient operation of a quantum system is derived.
This thesis presents the architecture of quantum programming environment, called QSI, along with its related modules and several quantum experiments. The environment is based on one specific quantum language, namely quantum while-language. Some partial experimental results are also presented within QSI.
The first part relates to the architecture, the designing and the implementation of quantum programming environment which provides a new, powerful and flexible environment for developing and implementing quantum programs. First, we study the possible structure of the programming environment which supports a measurement-based case statement and a measurement-based while-loop. These two program constructs are extremely convenient for describing large-scale quantum algorithms, such as quantum random walk-based algorithms. We also define a new assembly language called f-QASM (Quantum Assembly Language with feedback) as an interactive command set. The assembly language is compatible with other low-level instruction sets and can be used to directly drive quantum hardware. Moreover, the simulation of syntax of quantum program and the behaviours within the architecture on the classical computer are discussed. Finally, we consider the work-flow which contains the decomposition of unitary matrix to achieve the goal that executing on Noisy Intermediate-Scale Quantum Computer.
The second part concerns the modules based on quantum programming environment: termination analysis module, detective separable unitary module and quantum control module. Along with the architecture, we bring an essential module - termination analysis module for the loop structure. It can analyze sub-bodies of quantum program and suggest the critical termination information. In addition, we improve the Jordan decomposition step in the original algorithm which consumes extended period for analyzing. This improvement also makes the module more robust on executing. A fast permutation algorithm module clarifies the re-ordering algorithm in case of qubits system. It regenerates the program (unitary operator) which is not in pre-ordered sequence. In the detective separable unitary module, we prove sufficient conditions for separable unitary and its approximate scenario. The result shows there does not exist a universal algorithm for potential parallel executing quantum programs without communications (classical or quantum communications). However, in approximate, there exists a scheme for parallel computing without the help of communication. In this part, two examples for parallel computing are given. Last, in quantum control module, an algorithm is suggested towards automatically generating quantum circuits for quantum case-statement. We believe these analysis modules can help the compiler to optimize the implementation of quantum algorithms.
The third part is devoted to quantum experiment. First, we focus several experiments which can be operated directly by QSI : Qloop, BB84 protocol and Grover search algorithm. After that, with the help of IBM’s QISKit,…
This paper proposes a novel approach to quantum algorithm design centered around the concept of "Composable Quantum Modules." The core idea is to move away from monolithic algorithm development towards a modular, component-based paradigm, similar to software engineering. We define and describe a framework for creating and utilizing pre-built, reusable quantum modules – representing fundamental quantum operations – to construct larger, more complex algorithms. This framework addresses the current challenges associated with quantum algorithm development, particularly the difficulty in managing the exponential complexity of designing and debugging intricate quantum circuits. The proposed approach offers significant advantages in terms of modularity, reusability, and ultimately, accelerates the development and deployment of quantum applications. We detail the architecture of this framework, including a standardized operation library and composition tools, and illustrate its potential through a conceptual example. The goal is to establish a practical methodology for synthesizing algorithms efficiently by leveraging modular building blocks.
This paper examines physical, algorithmic and hardware fundamentals of quantum information processing which includes computing, coding, communication, data storage and other tasks. Practical processing by microscopic (atomic and molecular) systems can be accomplished only by using measurable real-valued physical variables (quantities). These variables should be quantum-mechanically achivable, algorithmically processable and hardware realizable. The theoretical results of quantum mechanics must be experimentally substantiated by observing controlled quantum state transitions, transductions and evolutions in dynamic microscopic systems. The microscopic devices form processing fabrics. We examine the premise of quantum processing by: (1) Unifying and enabling theoretical computer science, quantum information science and computer engineering; (2) Examining the first principles of quantum information processing at the device and system levels; (3) Developing algorithmic and design paradigms with consistent processing calculus and arithmetics; (4) Fostering consistent and practical microscopic hardware solutions.
Introduction: There is a great potential that the quantum computing can change the way of algorithms and software development more than classical computers. Thus, this article will try to focus on how algorithm design and software development can be affected by quantum computing as well as what possibilities could appear when quantum principles are implemented into traditional paradigms. This paper aims at identifying the impact of quantum computing on algorithm and software advancement, through a discussion of essential quantum algorithms, quantum languages, as well as the opportunities and challenges of quantum technologies. Method: An extensive literature review and theoretical investigation was also performed to investigate the foundational concepts of quantum computing and subsequent effects on algorithm and software engineering. Some of the research questions included exploring the contrast between classical and quantum algorithms, reviewing current literature on quantum programming languages, and delving into examples of real-life deployments of quantum algorithms cross numerous domains. Results: This paper shows that quantum computing brings qualitatively new paradigms in the algorithm design and function while the quantum algorithms such as Shor’s and Grover’s perform exponentially faster certain problems. Software development for quantum has brought the need to devise new frameworks of coding in light of probability in quantum circuit. It is also comforting to note that there is still effort being made although in its most embryonic form to create quantum programming languages like Qiskit and Cirq. Some of challenges include quantum decoherence; limited number of quantum hardware; and need for strong error correction processes.Conclusion: While there are currently relatively few quantum algorithms it is believed that the findings in this field have the ability to revolutionize algorithm and software design and subjects like cryptography, optimization and AI. However, trends in quantum computing show that the constraints to computational capabilities are likely to be lifted to allow creativity to develop the most powerful software solutions
The rapid advancement of quantum computing has highlighted the need for scalable and efficient software infrastructures to fully exploit its potential. Current quantum processors face significant scalability constraints due to the limited number of qubits per chip. In response, distributed quantum computing (DQC) —achieved by networking multiple quantum processor units (QPUs)— is emerging as a promising solution. To support this paradigm, robust intermediate representations (IRs) are needed to translate high-level quantum algorithms into executable instructions suitable for distributed systems. This paper presents NetQIR, an extension of Microsoft’s Quantum Intermediate Representation (QIR), specifically designed to facilitate DQC by incorporating new instruction specifications. NetQIR was developed in response to the lack of abstraction at the network and hardware layers identified in the existing literature as a significant obstacle to effectively implementing distributed quantum algorithms. Based on this analysis, NetQIR introduces new essential abstraction features to support compilers in DQC contexts. It defines network communication instructions independent of specific hardware, abstracting the complexities of inter-QPU communication. Although the proposed work allows abstraction of the underlying network, it is important to note that it is intended for the development of high-performance code on future modular quantum architectures. Leveraging the QIR framework, NetQIR aims to bridge the gap between high-level quantum algorithm design and low-level hardware execution, thus promoting modular and scalable approaches to quantum software infrastructures for distributed applications. Furthermore, its design may serve as a foundational component for future implementations of distributed quantum standards such as the Quantum Message Passing Interface (QMPI).