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• DEVELOPMENT OF CORRECTION CODES FOR CORRECTING SEVERAL KINDS OF QUANTUM ERRORS

  S.M. Gushanskiy, V. S. Potapov, V.I. Bozhich

  2020-10-11

  Abstract ▼

  Recently, there has been a rapid increase in interest in quantum computers. Their work is
  based on the use of quantum-mechanical phenomena such as superposition and entanglement for
  computing input data into output data that can actually provide effective performance 3 to 4 orders of
  magnitude higher than any modern computing devices, which will solve the above and others tasks in
  a natural and accelerated time scale. This article is devoted to solving the problem of research and
  development of corrective codes for correcting several types of quantum errors that appear during
  computational processes in quantum algorithms and models of quantum computing devices. The aim
  of the work is to study existing methods for correcting various types and types of quantum errors and
  to create a 3-qubit corrective code for quantum error correction. The work touches upon the tasks of
  research and development of the functioning methods of quantum circuits and models of quantum
  computing devices. The relevance of these studies lies in the mathematical and software modeling
  and implementation of corrective codes for correcting several types of quantum errors as part of the
  development 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 the
  quantum computing process. The scientific novelty of this area is primarily expressed in the constant
  updating 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 correcting
  phase types of errors, which allows one to evaluate the own phase of a unitary gate that has
  gained access to the quantum state in proportion to its own vector.

• DEVELOPMENT OF MICRO-COMMANDS AND BASIC UNITS OF THE HARDWARE ACCELERATOR OF QUANTUM CALCULATIONS

  S.M. Gushanskiy, V.S. Potapov, Y.M. Borodyansky

  2021-02-13

  Abstract ▼

  At all stages of the development of information technology, much attention has been paid to
  the issues of modeling functioning specialized high-performance computing systems, which make it
  possible to provide the necessary performance indicators in combination with minimized costs of
  software resources and energy consumption. The developed information system, focused on human-
  machine interaction, allows you to clearly see the strengths and weaknesses of the developed
  quantum computing device, to prove the advantages of its use. The developed modeling information
  system is a visual aid for understanding the main methods of interaction between information
  processes and information resources. A number of the most important problems cannot be
  solved 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 solving
  the problem of research and development of a circuit and a simulation technique for a hardware
  accelerator 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 implementation
  of the fundamental components of quantum computing models. The scientific novelty of
  this direction is expressed in the optimization of the quantum computational process. The scientific
  novelty of this area is primarily expressed in the constant updating and supplementing of the field
  of quantum research in a number of areas. The aim of this work is to implement a technique for
  constructing a hardware accelerator. The technical support of the information quantum system
  and processes has been implemented, including new software for the transmission and presentation
  of information. The use of a quantum computing information system differs from its counterparts
  by 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 be
  solved on classical machines in unacceptable time. Due to the fact that the class of NP problems is
  wide, the applicability and significance of the developed method for constructing a modular system
  of quantum computing is beyond doubt.

• DEVELOPMENT OF METHODS OF OPTIMIZATION AND PARALLELIZATION OF COMPUTATIONAL PROCESSES IN QUANTUM ACCELERATORS

  S. M. Gushanskiy, V. S. Potapov, V.I. Bozhich

  2021-08-11

  Abstract ▼

  Recently, there has been a rapid increase in interest in quantum computers. Their work is
  based on the use of quantum-mechanical phenomena such as superposition and entanglement for
  computing to transform input data into outputs that can actually provide effective performance
  3–4 orders of magnitude higher than any modern computing devices, which will allow solving theabove and others. tasks in real- and accelerated-time scale. This article is devoted to solving the
  problem of research and development of methods for optimizing quantum computing within the
  framework of the application of quantum accelerators. A block diagram of a hardware accelerator
  is proposed to increase the performance of simulated quantum computing. The development of the
  structural diagram of the communication module of the hardware accelerator and the software
  model was carried out. The relevance of these studies lies in mathematical and software modeling
  and implementation of correction codes for correcting several types of quantum errors in the development
  and implementation of quantum algorithms for solving classes of problems of a classical
  nature. The scientific novelty of this direction is expressed in the elimination of one of the disadvantages
  of the quantum computational process. The scientific novelty of this area is primarily
  expressed in the constant updating and supplementation of the field of quantum research in a
  number of areas, and the computer simulation of quantum physical phenomena and features is
  poorly covered in the world.

• IMPLEMENTATION OF A PROBABLE DEEP NEURAL NETWORK DECODER FOR STABILIZER CODES

  S.M. Gushanskiy, V.N. Pukhovsky, V.S. Potapov

  2021-12-24

  Abstract ▼

  Recently, there has been a rapid increase in interest in quantum computers. Their work is
  based on the use of quantum-mechanical phenomena such as superposition and entanglement for
  computing to transform input data into outputs that can actually provide effective performance
  3–4 orders of magnitude higher than any modern computing devices, which will allow solving the
  above and other tasks in real and accelerated time scale. This work is a study of the influence of
  the environment on a quantum system of qubits and the results of its implementation. A probabilistic
  deep neural network decoder for stabilizer codes has been developed. The issues of error correction
  for a three-bit code without state decoding are analyzed and considered. The relevance of
  these studies lies in mathematical and software modeling and implementation of correction codes
  for correcting several types of quantum errors in the development and implementation of quantum
  algorithms for solving classes of problems of a classical nature. The scientific novelty of this direction
  is expressed in the elimination of one of the disadvantages of the quantum computational
  process. The scientific novelty of this area is primarily expressed in the constant updating and
  supplementation of the field of quantum research in a number of areas.