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- Article name
- A NEW QUANTUM MATH: MATRIX CALCULUS CUBIC COMPLEXES AND QUANTUM D-ALGORITHMS
- Authors
- Pravilshchikov P. A., , pavelp@ipu.ru, Federal State Government-financed Scientific Establishment "Institute of Control Sciences named after V. A. Trapeznikov of RAS, Moscow, Russia
- Keywords
- matrix calculus / quantum computing / quantum computers / quantum accelerator / quantum algorithms / quantum register / qubits / qutrite / quakwadrites / qunite
- Year
- 2017 Issue 2 Pages 21 - 32
- Code EDN
- Code DOI
- Abstract
- It is argued that together with the quantum revolution that happens in computing, a new quantum math comes in computer science. Adduced the description of matrix calculus of cubical complexes, which is development and empowerment of the classic D-calculus. The old D-calculus, developed by J. P. Roth, is used to describe the famous sequential D-algorithms. Author shows in this paper how a new matrix calculus can be applied to describe the quantum D-algorithms that exploit quantum parallelism. In this paper enumerates the future applications of quantum D-algorithms on the platform of quantum computers and quantum accelerators for solving problems in mathematics, cryptography, control science, CAD and technical diagnostics. It is introduced new matrix to perform the main computing operation of the quantum D-algorithms - the elementary operation of intersection.
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