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:
Mark Wilde "From
Classical to Quantum Shannon Theory", available online arXiv:1106.1445
Michael Nielsen and
Isaac Chuang, "Quantum computation and quantum
information", Cambridge university press, 2010
Sarah Chehade. PhD Spring 2021
Dissertation: Saturating Quantum Relative Entropy
Inequalities
Post graduation position: Postdoc at Oak Ridge
National Laboratory, Quantum Information Science
group