Grants and Contributions:

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Title:

Adelic Quantum Computing

Agreement Number:

1041230

Agreement Value:

$77,000.00

Agreement Date:

Mar 26, 2026 - May 30, 2027

Description:

Develop a novel representation-theoretic framework for quantum algorithms and quantum compilation using recently developed connections between adelic methods and the Langlands program to quantum computing. Golden gates, optimal gate sets generalizing Clifford+T, are known to exist for all practical application via arithmetic constructions exploiting adelic analysis and recent developments in the Langlands Program. Precisely, these methods produce a number-theoretic shadow of any quantum gate, the “arithmetic avatar”, that allows for the translation of complex structures in quantum computing to a straight-forward combinatorial setting. The project will produce the first practical implementation of this construction in a quantum SDK (Qiskit), as well a rigorous study of a novel approach to quantum algorithm development that arises from this application of adelic methods.

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:

Calgary, Alberta, CA T2N 1N4

Reference Number:

172-2025-2026-Q4-1041230

Agreement Type:

Grant

Report Type:

Grants and Contributions

Recipient Business Number:

108102864

Recipient Type:

Academia

Recipient's Legal Name:

The Governors of the University of Calgary

Federal Riding Name:

Calgary Confederation

Federal Riding Number:

48005

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