Inverse Laplace and Mellin Integral Transforms Modified for Use in Quantum Communications
Gustavo Álvarez, Igor Kondrashuk
Source abstract
Integral transformations are useful mathematical tool to work out signals and wave packets in electronic devices. They may be used in software protocols. Necessary knowledge may come from quantum field theory—particularly from quantum chromodynamics, in which the optic theorem and the renormalization group equation can be solved by a unique contour integral written in two different “dual” ways related between themselves by a complex map in the complex plane of the Mellin variable. The inverse integral transformation should be modified to be applied for these contour integral solutions. These modified inverse transformations may be used in security protocols for quantum computers. Here, we present a brief review of the basic integral transforms and propose their modification for the extended domains.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.