Anna Vershynina

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My research interests lie in matrix analysis and quantum information theorey. More specifically, my work is concerned with resource theory and quantum information inequalities.
Quantum information theory (QIT) is a young and actively developing area at the intersection of many research subjects, such as mathematics, physics, computer science, electrical engineering, biology, chemistry. The ultimate goal of QIT is to develop new technologies, in particular, the long-awaited quantum computer.

In some part of my research in QIT I use quantum phenomena called entanglement. Entanglement is heavily used in and relied on in QIT. It is found only in quantum systems, no classical system can exhibit entanglement. Entangled parties can be separated from each other over any distance, and they would always "feel" each other instantaneously without any communication between them. You might think that this would easily allow for faster-than-light communication (or even travel!), but no, no significant amount of information can be transmitted faster than light. But entangled parties can "feel" each other, and even change themselves depending on what's happening with another particle.

Don't be discouraged if you don't have a clue of what I'm talking about here. The man who helped discover entanglement, Einstein, went to his grave not understanding this phenomena and not even convinced in its existence.

Suggested Reading

If you would like to learn the basics of quantum information theory, take a look at the following books:

Grants

07/2021 - 06/2024 NSF DMS-2105583
06/2018 - 07/2021 NSF DMS-1812734

Supervisions


Ph.D. Students

Sarah
Sarah Chehade. PhD Spring 2021
Dissertation: Saturating Quantum Relative Entropy Inequalities
Post graduation position: Postdoc at Oak Ridge National Laboratory, Quantum Information Science group