Research
My interests lie in exploring different intersections of mathematics and quantum computation, particularly quantum algorithms, prospects of quantum computing for harmonic analysis, and partial differential equations.
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Quantum Wave Atoms Transforms (to appear)
Marianna Podzorova, Yi-Kai Liu
QIP (poster) 2025, QuICS 10th Anniversary Symposium (poster) 2025
This paper constructs the first quantum algorithm for wavelet packet transforms
with a tree structure, sometimes called wave atom transforms, with an exponential speedup compared to its classical counterpart.
Classically, wave atoms are one of the few candidates used to construct sparse representations of differential operators, which
enable fast numerical algorithms for partial differential equations.
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I was teaching assistant for the following classes
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Internships and Summer Schools
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I am grateful for the unique expirience to the following Summer Internships and Summer Schools
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"You’re absolutely right. Our little town is a hole. It always has been and still is. But now it is a hole into the future."
- ― Arkady Strugatsky, Roadside Picnic
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