qsharp-community / qsharp-community.github.io

Website for the Q# Community
https://qsharp.community
MIT License
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Request for a Project Idea - Integrodifferential Quantum Fourier-Laplace Transform for Qubit Programming #19

Closed ShaunJW360 closed 4 years ago

ShaunJW360 commented 4 years ago

Request for a Project Idea

Summary Implementation of logic type quantum gates on a qubit system and to construct signal representation of a two-dimensional Integrodifferential equation f(t), and into a frequency domain f(w).

By using an altered Quantum Fourier Transform (QFT) and Laplace Transform, it is attempted to convert one superposition state into another superposition state (interference), and to produce a signal from an integrodifferential equation (partial derivatives).

The outcome is to simulate a duality of a wave function/linear momentum system by measurements/interference on a photonics/superconducting/topological quantum processor. It's intent is to algebraic expresses the construction or deconstruction interference based on amplitude, phase and gradient descent.

Development Kit (and testing):