Grants and Contributions:
Title:
Next Generation Quantum Algorithms for Differential Equations
Agreement Number:
1041320
Agreement Value:
$600,000.00
Agreement Date:
Mar 27, 2026 - Mar 31, 2028
Description:
The aim of the project is to develop new approaches to differential equations with an aim of providing clear exponential advantages for problems in plasma physics, geo physics, optimization, financial mathematics and chemistry. The project will extend current approaches to handle stochastic differential equations and build quantum algorithms for inverse problems where a partial solution is known at different times in the dynamics. These will open up applications in geophysics and financial mathematics that at present are impossible on quantum computers. The team will develop a new mathematical formalism that proves bounds on information propagation speed to simplify both quantum and classical differential equation algorithms, also leading to new methods of simulating relativistic dynamics on quantum computers. Finally, the project will examine applications of these ideas to the aforementioned domain sciences and aim to show clear evidence for an end-to-end quantum advantage that could revolutionize the Canadian economy and scientific community.
Organization:
National Research Council Canada
Expected Results:
In the short term, anticipated outcomes will be strengthened collaborations across industry, academia, and government to support research excellence. In the medium term, anticipated outcomes will be the development of new and potentially disruptive technologies with collaborators. In the long term, find collaborative solutions to public policy challenges and create stronger innovation systems.
Location:
Toronto, Ontario, CA M5S 1S8
Reference Number:
172-2025-2026-Q4-1041320
Agreement Type:
Grant
Report Type:
Grants and Contributions
Recipient Business Number:
108162330
Recipient Type:
Academia
Recipient's Legal Name:
The Governing Council of the University of Toronto
Federal Riding Name:
University--Rosedale
Federal Riding Number:
35112
Program:
Collaborative Science, Technology and Innovation Program - Collaborative R&D Initiatives
Program Purpose:
Collaborate on multiparty research and development programs to catalyze transformative, high-risk, high-reward research with the potential for game-changing scientific discoveries and technological breakthroughs in priority areas.
NAICS Code:
541710 - R&D in the physical, engineering and life sciences