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РАЗРАБОТКА МИКРОКОМАНД И ОСНОВНЫХ БЛОКОВ АППАРАТНОГО УСКОРИТЕЛЯ КВАНТОВЫХ ВЫЧИСЛЕНИЙ

С. М. Гушанский, Viktor Potapov, Ю.М. Бородянский

Published Jan 1, 2020• 0 citations
OpenAlex

Abstract

At all stages of the development of information technology, much attention has been paid tothe issues of modeling functioning specialized high-performance computing systems, which make itpossible to provide the necessary performance indicators in combination with minimized costs ofsoftware resources and energy consumption. The developed information system, focused on human-machine interaction, allows you to clearly see the strengths and weaknesses of the developedquantum computing device, to prove the advantages of its use. The developed modeling informationsystem is a visual aid for understanding the main methods of interaction between informationprocesses and information resources. A number of the most important problems cannot besolved using classical computers, including classical supercomputers, in a reasonable time. Recently,there has been a surge in interest in quantum computers. This article is devoted to solvingthe problem of research and development of a circuit and a simulation technique for a hardwareaccelerator of quantum computing. The work touches upon the problems of research and development of methods for the functioning of quantum circuits and models of quantum computing devices.The relevance of these studies lies in the mathematical and software modeling and implementationof the fundamental components of quantum computing models. The scientific novelty ofthis direction is expressed in the optimization of the quantum computational process. The scientificnovelty of this area is primarily expressed in the constant updating and supplementing of the fieldof quantum research in a number of areas. The aim of this work is to implement a technique forconstructing a hardware accelerator. The technical support of the information quantum systemand processes has been implemented, including new software for the transmission and presentationof information. The use of a quantum computing information system differs from its counterpartsby a significant increase in the speed of solving computational problems and, most importantly,by an exponential increase in the speed of solving NP-complete problems that can besolved on classical machines in unacceptable time. Due to the fact that the class of NP problems iswide, the applicability and significance of the developed method for constructing a modular systemof quantum computing is beyond doubt.

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At all stages of the development of information technology, much attention has been paid tothe issues of modeling functioning specialized high-performance computing systems, which make itpossible to provide the necessary performance indicators in combination with minimized costs ofsoftware resources and energy consumption. The developed information system, focused on human-machine interaction, allows you to clearly see the strengths and weaknesses of the developedquantum computing device, to prove the advantages of its use. The developed modeling informationsystem is a visual aid for understanding the main methods of interaction between informationprocesses and information resources. A number of the most important problems cannot besolved using classical computers, including classical supercomputers, in a reasonable time. Recently,there has been a surge in interest in quantum computers. This article is devoted to solvingthe problem of research and development of a circuit and a simulation technique for a hardwareaccelerator of quantum computing. The work touches upon the problems of research and development of methods for the functioning of quantum circuits and models of quantum computing devices.The relevance of these studies lies in the mathematical and software modeling and implementationof the fundamental components of quantum computing models. The scientific novelty ofthis direction is expressed in the optimization of the quantum computational process. The scientificnovelty of this area is primarily expressed in the constant updating and supplementing of the fieldof quantum research in a number of areas. The aim of this work is to implement a technique forconstructing a hardware accelerator. The technical support of the information quantum systemand processes has been implemented, including new software for the transmission and presentationof information. The use of a quantum computing information system differs from its counterpartsby a significant increase in the speed of solving computational problems and, most importantly,by an exponential increase in the speed of solving NP-complete problems that can besolved on classical machines in unacceptable time. Due to the fact that the class of NP problems iswide, the applicability and significance of the developed method for constructing a modular systemof quantum computing is beyond doubt.
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This article discusses the principles of quantum computing simulation using hardware approach. We describe a general mathematical model of a quantum computer; we show the method of mathematical modeling of quantum computation with optimization and a scheme of a hardware processing core in a quantum computing accelerator. The article gives a method of assessment of increasing productivity in the simulation of quantum computations using computing hardware core. The problems associated with the parallelization of computations on a hardware accelerator, simulating quantum computing were analyzed. The work lists the results of comparison of software and hardware simulation, as well as the dependence of the temporal evaluation of the number of qubits and parallel ALU in the computer-hardware accelerator
Recently, there has been a rapid increase in interest in quantum computers. Their work isbased on the use of quantum-mechanical phenomena such as superposition and entanglement forcomputing input data into output data that can actually provide effective performance 3 to 4 orders ofmagnitude higher than any modern computing devices, which will solve the above and others tasks ina natural and accelerated time scale. This article is devoted to solving the problem of research anddevelopment of corrective codes for correcting several types of quantum errors that appear duringcomputational processes in quantum algorithms and models of quantum computing devices. The aimof the work is to study existing methods for correcting various types and types of quantum errors andto create a 3-qubit corrective code for quantum error correction. The work touches upon the tasks ofresearch and development of the functioning methods of quantum circuits and models of quantumcomputing devices. The relevance of these studies lies in the mathematical and software modelingand implementation of corrective codes for correcting several types of quantum errors as part of thedevelopment and implementation of quantum algorithms for solving classes of classical problems.The scientific novelty of this area is expressed in the exclusion of one of the shortcomings of thequantum computing process. The scientific novelty of this area is primarily expressed in the constantupdating and addition of the field of quantum research in a number of areas, and computer simulation of quantum physical phenomena and features is poorly illuminated in the world. The aim of the work is computer simulation of a quantum computing process using the method of correctingphase types of errors, which allows one to evaluate the own phase of a unitary gate that hasgained access to the quantum state in proportion to its own vector.
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.
The quantum core method is one of the most important methods in quantum machine learning.However, the number of features used for quantum nuclei is limited to a few dozen features.The block product state structure is used as a quantum feature map and the implementation ofprogrammable gate matrices is demonstrated. The relevance of these studies lies in the mathematicaland software modeling and implementation of a quantum computing system as part of thedevelopment of the implementation of a quantum core on FPGA for solving classes of problems ofa classical nature. The scientific novelty of this research area is the development of a hybrid simulatorof the quantum cores of a central processing unit (CPU) and a programmable logic integratedcircuit (FPGA) several orders of magnitude faster than a conventional quantum computingsimulator. This joint development of the implemented quantum core and its efficient FPGA implementation allowed numerical simulation of the quantum core based on gates in terms of inputfeatures, up to 780-dimensional features using 4000 samples. We applied the quantum kernel toimage classification problems using the Fashion-MNIST dataset and showed that the quantumkernel is comparable to Gaussian kernels with optimized throughput. The analysis of the work inthis field has shown that a new qualitative level has now been reached, opening up promising opportunitiesfor the implementation of multi-qubit quantum computing. The prospects for implementationand development are connected not only with technological capabilities, but also with solvingthe issues of building effective quantum systems for solving actual mathematical problems,cryptography problems and control (optimization) problems.