01 / FORMULATE
Find the structure.
Translate a problem into its algebraic, Fourier, or coding-theoretic representation.
NEW INTELLIGENCE. NEW POSSIBILITIES.
AI for
quantum
algorithms.✳
Exploring the next frontier of quantum computation.
Where artificial intelligence meets the mathematical
structure of the quantum world.
QFL / FIELD NOTES 001
+FROM STRUCTURE
TO POSSIBILITYFOURIER FIELD
CONCEPTUAL VISUALIZATION
TO POSSIBILITYFOURIER FIELD
CONCEPTUAL VISUALIZATION
+ 01 / THE THESIS
Quantum’s next leap
needs a new way
to find algorithms.
Our aim is to bring AI into the discovery loop—connecting the structure of quantum problems with new algorithms, better codes, and a deeper understanding of computational resources.
+ 02 / RESEARCH DIRECTIONS
Three directions.
One frontier.
From mathematical foundations
to the questions that come next.
STRUCTURE → ALGORITHM01 / 03
Let the structure lead.
Explore how decoding and Fourier structure can inform quantum optimization and state preparation, building on research into decoded quantum interferometry.
Read the researchNOISE → RELIABILITY02 / 03
Make reliability part of discovery.
A future research direction: investigate AI-assisted design of quantum codes and decoders, accounting for noise, resource overhead, and the demands of useful computation.
Explore the research approachRESOURCE → POSSIBILITY03 / 03
Understand the resource. Expand the possible.
Study the non-stabilizer resources that enable universal quantum computation, drawing on Fourier-based tools for stabilizer testing and the characterization of quantum magic.
Read the research+ 03 / OUR APPROACH
AI explores.
Rigor decides.
A proposed research loop that pairs
machine exploration with mathematical
and computational scrutiny.
02 / EXPLORE
Expand the search.
Use AI to propose candidate algorithms, code constructions, and research hypotheses.
03 / EVALUATE
Put ideas to the test.
Check correctness, simulate behavior, and compare resource costs against clear baselines.
04 / REFINE
Bring it back to theory.
Turn useful patterns into precise statements, reproducible experiments, and new questions.
A RESEARCH AGENDA IN DEVELOPMENT
+ 04 / SCIENTIFIC FOUNDATIONS
Built on questions.
Grounded in research.
Selected work by Kaifeng Bu and
collaborators that informs our direction.
Showing all 5 publications
Multivariate Decoded Quantum Interferometry for Weighted Optimization
Kaifeng Bu, Weichen Gu, Xiang Li
Hamiltonian Decoded Quantum Interferometry for General Pauli Hamiltonians
Kaifeng Bu, Weichen Gu, Xiang Li
Decoded Quantum Interferometry Under Noise
Kaifeng Bu, Weichen Gu, Dax Enshan Koh, Xiang Li
Stabilizer Testing and Magic Entropy via Quantum Fourier Analysis
Kaifeng Bu, Weichen Gu, Arthur Jaffe
Quantum Ruzsa Divergence to Quantify Magic
Kaifeng Bu, Weichen Gu, Arthur Jaffe
Existing research, future directions. These publications provide scientific context for the initiative.
+ 05 / THE LAB
A small beginning.
An open horizon.
Quantum Fourier Lab is an emerging research initiative at the intersection of artificial intelligence and quantum computation.
Drawing on Kaifeng Bu’s work in quantum Fourier analysis, decoding-driven algorithms, and quantum resources, we are shaping a foundation for research and future ventures.
We believe the next useful quantum algorithm may begin with a different question—and a better way to explore it.
Follow the project on GitHub THE NEXT CHAPTER IS OPEN
Good questions
deserve company.
For researchers, builders, and future collaborators.
Help shape what comes next in AI for quantum.
Opens a public GitHub issue. Please keep private information out of your message.