Volumetric Time, Minor Quantum Computation State-Preparation and Harmonic Chord Conversion to Linear Operator Matrices: Fundamentals and Methodologies
The primary aim of this research is to explore the intersection of quantum computing, music theory, and visualization by creating a comprehensive representation of 3-dimensional volumetric-time data about a given point-particle region and its relationship to musical intervals, wavelength, energy levels, and octave pitch classification sets. It will involve the application of quantum logic gates and the Qiskit package, specifically using OpenQASM2.0 in tandem with Q-Ctrl's Fire Opal interface to run experiments on a real quantum computer, courtesy of IBM (Q), to encode volumetric-time information into relatively manageable n>=11 qubit states, as well as the mapping of eigenvalues to musical intervals using quantum algorithms or simulations. It will also include the creation of a 3D scatter plot and geometric topology to visualize the relationships between the data points, with an emphasis on incorporating volumetric time into the visualization. The research will a...