Simulation of Quantum Computation via MAGMA Computational Algebra System

Abstract

Quantum computation is the usage of quantum mechanics to process information. It has been proven that quantum computation has the capacity to transfer data securely based on its fundamental and it solves the complex issues better than classical computation. However, before the quantum computers are available for people living, we need to verify and build up some frameworks for verification of quantum information system. In this research, we consider the MAGMA system which can be useful for quantum computation and calculation parameters of quantum stabilizer codes. Therein, we consider the problem of the first quantum error correction codes and we verify that basic algorithm on MAGMA system. The proposed system prove that MAGMA can be used for many tasks of quantum algorithms, quantum communication, and quantum computation problems.

Simulation of Resources for Quantum Algorithms and Quantum Communication Protocols based on a Novel Framework

“…Quantum error control codes (QECC) are a suitable solution since they bring the advantages from classical error control codes [10][11][12][13][14][15]. Since the first QECC was proposed by Shor [16] for 9-qubits, there are many proposed methods for construction of QECC with various purposes such as adaptive code length [17][18][19][20], minimum distance [21][22][23][24] etc.…”