Computational platform for quantum structures

A computational platform for a quantum structure, the computational platform comprising:

• an input module configured to receive parameter information corresponding to a quantum structure, the parameter information comprising geometrical parameters and material parameters associated with the quantum structure and a matrix in contact with the quantum structure;
• a processor programmed to carry out instructions stored in a computer-readable medium, the instructions comprising:
• receiving, using the input module, the parameter information corresponding to the quantum structure;
• generating a quantum structure model based on the parameter information received,
• wherein the quantum structure model comprises at least one mesh;
• determining at least one property of the quantum structure;
• and
• generating a report indicative of the at least one property determined;
• and
• an output module for providing the report,
• wherein determining the at least one property of the quantum structure comprises:
• obtaining, using a Strain solver module, the parameter information, and the at least one mesh, a displacement vector ;
• obtaining, using the Strain solver module, the parameter information, and the displacement vector , a strain tensor ε;
• and
• obtaining, using a Piezoelectric solver module, the parameter information, and the strain tensor ε, a conduction band hydrostatic strain energy change δEhyC, a valence band hydrostatic strain energy change δEhyv, a valence band biaxial strain energy change δEbiv, a strain induced polarization , a strain induced charge density σP, a polarization induced potential VP, a piezoelectric energy change δEPiezo, a transition energy, or any combination thereof.

A method for the fabrication of a quantum structure, the method comprising:

• (a) receiving, using an input of a computational platform, parameter information corresponding to a quantum structure, the parameter information comprising geometrical parameters and material parameters associated with the quantum structure and a matrix in contact with the quantum structure;
• (b) generating, using a Strain solver module, at least one mesh based on the parameter information received;
• (c) obtaining, using the Strain solver module, the parameter information, and the at least one mesh, a displacement vector ;
• (d) obtaining, using the Strain solver module, the parameter information, and the displacement vector , a strain tensor ε;
• (e) obtaining, using a piezo-electric solver module, the parameter information, and the strain tensor ε, a piezoelectric energy change δEPiezo and, optionally obtaining, a conduction band hydrostatic strain energy change δEhyC, a valence band hydrostatic strain energy change δEhyv, a valence band biaxial strain energy change δEbiv, a strain induced polarization , a strain induced charge density σP, a polarization induced potential VP, a transition energy, or any combination thereof;
• (f) obtaining, using a Schrödinger solver module, the parameter information, the strain tensor ε, the piezoelectric energy change δEpiezo, and a second mesh, a Hamiltonian Ĥ, a strain induced potential VStrain, a strain induced deformation potential VDeform, a wavefunction, an eigenstate, an eigen-energy, or any combination thereof;
• (g) evaluating the symmetry of the Hamiltonian Ĥ, the strain induced potential VStrain, the strain induced deformation potential VDeform, the wavefunction, the eigenstate, the eigen-energy, or any combination thereof;
• (h) generating design information or control signals based on at least one property of the quantum structure;
• and
• (i) providing the information or control signals to an assembly line using an output module.