Konstantina Trivisa
University of Maryland, MD·Mathematics & Statistics
Quantum information science seeks new ways to compute and communicate by exploiting how matter behaves at the atomic scale, where the usual rules of logic and information no longer apply. Progress in the field, from quantum algorithms to quantum cryptography, has repeatedly depended on mathematical breakthroughs rather than only on engineering.
- Fields
Mathematics & Statistics
Physics
Computer Science
- Topics
quantum information science
quantum algorithms
quantum cryptography
- Grants
- 1 known grant, through Jun 2029
What they work on
- Develop new quantum algorithms and strengthen existing ones using tools from algebra, representation theory and scientific computing, with implications for scientific computing performance.
- Expand the range and practical usefulness of quantum cryptography, which secures communication using quantum physics, through mathematical analysis.
- Advance quantum systems theory and, reciprocally, use quantum information problems to drive new results in systems theory, drawing on nonlinear analysis, partial differential equations and stochastic analysis.
- Train undergraduates, graduate students and postdoctoral fellows in the mathematical sciences through a curriculum that moves from quantum principles to research with fifteen faculty mentors across quantum algorithms, cryptography and systems.
More about the research
This Research Training Group is built on that observation: it trains mathematicians to work on quantum problems, pairing undergraduates, graduate students and postdoctoral fellows in the mathematical sciences with fifteen faculty mentors, and guiding participants from quantum fundamentals through advanced mathematical tools and the societal implications of the work.
Why it matters
Quantum computing and quantum-secured communication touch cybersecurity, drug discovery, finance and healthcare, and advances in them have often come from new mathematics. Treating quantum algorithms, cryptography and systems as mathematical problems could sharpen the theory those technologies rest on, while the training program brings mathematicians, for whom mathematics is an accessible entry point, into a quantum workforce that currently draws from a narrow set of fields.
Known grants
From NIH and NSF research grants. Labs often have other funding we can't see.
Closest labs
Jean-Francois Biasse
University of South Florida, FL·Mathematics & Statistics
Investigate hard algebraic and number-theoretic problems, including finding short vectors in Euclidean lattices, isogenies between curves, and inverting group actions, as foundations for next-generation cryptosystems.
Mohammed Qazi
Tuskegee University, AL·Mathematics & Statistics
Develop the mathematics of diffusion models for generative AI, which create new data by reversing a noising process, using stochastic modeling with applications such as wireless communications.
Ryan McMahan
Virginia Polytechnic Institute and State University, VA·Computer Science
Develop and validate the QIS Concept Introductory Test (QISCIT) and label misconceptions in data from a controlled general-population study of QubitVR, a virtual reality app for learning quantum concepts.
The school
University of Maryland: 49 labs on PI Pages, $1.5B a year on research, 602 research doctorates a year.
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