Grants and Contributions

In quantum mechanical momentum theory, Clebsch-Gordan (CG) transforms coefficients can measure the degree of momentum entanglement in molecules. The complexity of the degree of entanglement generated by molecular orbital interaction needs to be elucidated in order to develop efficient quantum algorithms based on quantum mechanics, particularly under Coulomb and external fields. The potential of solid harmonic Gaussian orbitals (SHGOs), which are eigenfunctions of the angular momentum operator, has been largely underestimated for this purpose. Using SHGOs, Concordia University (CU) aims to develop an atom-centred angular momentum basis, a projection operator of c fermions acting on spherical harmonics. Compared with the existing tensor hypercontraction (THC) method, this new approach could overcome the need for computationally intensive density adjustment. In the orthogonal, unitary angular momentum basis, we can diagonalize the Coulomb operator. CU can derive a highly efficient quantum algorithm for simulating the electronic Hamiltonian using spherical harmonics as the projection function. The total number of atom-centred angular momentum basis functions is smaller than that of the atomic basis of an original molecular Hamiltonian. This new angular momentum algorithm can achieve O(N) scaling and reduce T complexity by several orders of magnitude compared with state-of-the-art THC methods. Integrating quantum simulation and machine learning into the project enables the team to use available NISQ devices and more mature classical computing techniques using GPUs and CPUs. The strategy involves increasing the complexity of the molecular systems generated as larger quantum computing systems are targeted.

Electronic circuits specially adapted to the control of “intelligent” multi-terabit optical transceivers will be developed for intra-satellite switching systems for the deployment of future space satellite networks in low earth orbit (LEO). The expected deployment of several thousand LEO satellites for large-scale global space connectivity by OneWeb, SpaceX and others requires reliable and incredibly fast connections within the satellite itself. These types of satellites are actually huge data routers—similar to those in terrestrial networks—needed to switch several terabits/s of data over free-space optical laser links from other satellites and the ground. However, they will also have to do this while travelling at speeds in excess of 18,000 km/h and being bombarded by high-energy particles. This project will require robust designs of advanced integrated circuits for fibre-optic transceivers with a high number of high-speed channels for relaying data between computer chips inside a satellite. In order to achieve characteristics and performance suitable for intra-satellite applications, the planned transceivers will be based on ring resonator technology coupled with the NRC’s quantum box comb lasers (QBCs). Electronic circuits will have to be specially designed to match these optical technologies.

Under this project, the Proponent will conduct a feasibility study to assess hydrogen blending at strategic locations across Enbridge Gas Inc.'s existing gas network. The Proponent will evaluate the technical feasibility and maximum limits of blended hydrogen gas in existing networks, identify necessary retrofits or upgrades of existing infrastructure and develop staged roadmaps for introducing hydrogen into Ontario's gas network.

This project is mostly related to increased knowledge and collaboration with stakeholders and/or international organizations.

This project is focused on pre-feasibility and feasibility opportunity scanning for forest economic development opportunities and Indigenous participation in the forest industy.

This project is mostly related to increased knowledge and collaboration with stakeholders and/or international organizations.

This project is mostly related to the organization and hosting of a workshop.

This project is mostly related to codes and standards development.

This project is mostly about business start up or expansion that encourages Indigenous forest economic development opportunities.

The objective of this Project is to advance Indigenous issues and priorities in environment, safety and/or socioeconomic imperatives, consistent with the Terms of Reference of the Indigenous Advisory and Monitoring Committee for the Trans Mountain Expansion Project.