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- Alexander N. Prokopenya
- Programming and Computer Software
- 2015

A quantum algorithm for estimating the phase, which determines the eigenvalue of a unitary operator, is discussed. It is assumed that the eigenvector of this operator and the corresponding quantum circuit are given. The memory register where the approximate phase value is stored consists of n qubits, which makes it possible to determine the phase accurate… (More)

- Vladimir P. Gerdt, Alexander N. Prokopenya
- Programming and Computer Software
- 2010

Algorithms for calculating unitary matrices determined by quantum circuits are discussed. The algorithms are used in the program QuantumCircuit designed for modeling quantum circuits. Practical implementations of the algorithms as functions written in the language of the Mathematica system are suggested.

- Dzmitry A. Budzko, Alexander N. Prokopenya
- Programming and Computer Software
- 2010

Algorithms for searching equilibrium solutions of the circular restricted four-body problem formulated on the basis of triangular Lagrange solutions of the three-body problem are discussed. For small values of one of the two system parameters, equilibrium solutions are found in the form of power series. For large values of this parameter, an algorithm for… (More)

- Vladimir P. Gerdt, Alexander N. Prokopenya
- MMCP
- 2011

We consider an application of the Mathematica package QuantumCircuit to simulation of quantum circuits implementing two of the best known quantum algorithms, namely, the Grover search algorithm and the Shor algorithm for order finding. The algorithms are discussed in detail and concrete examples of their application are demonstrated. The main features of… (More)

- Vladimir P. Gerdt, Alexander N. Prokopenya
- Programming and Computer Software
- 2013

In the paper, the problem of simulation of quantum error correction by means of error correcting codes is discussed. Examples of error correction by means of quantum circuits constructed with the help of the QuantumCircuit package written in the language of the computer algebra system Mathematica are presented.

- Vladimir P. Gerdt, Alexander N. Prokopenya
- CASC
- 2013

In the present paper which is an extended version of paper [1] we consider a Mathematica-based package for simulation of quantum circuits. It provides a user-friendly graphical interface to specify a quantum circuit, to draw it, and to construct the unitary matrix for quantum computation defined by the circuit. The matrix is computed by means of the linear… (More)

- Ryszard Kozera, Alexander N. Prokopenya
- CISIM
- 2016

- Dzmitry A. Budzko, Alexander N. Prokopenya
- Programming and Computer Software
- 2013

Algorithms for searching equilibrium solutions of the circular restricted four-body problem formulated on the basis of the triangular Lagrange solutions of the three-body problem are discussed. An algorithm is proposed for calculating the bifurcation curve in the plane of system parameters that separates domains of the eight and ten equilibrium solutions.… (More)