Candidacy Talk: Amin Shiraz Gilani

Date
Wed, Mar 12, 2025 12:15 pm - 2:00 pm
Location
ATL 3100A

Description

Title:  Alternate perspectives on quantum query complexity
Speaker:  Amin Shiraz Gilani (QuICS)
Date & Time:  March 12, 2025, 12:15pm
Where to Attend:  ATL 3100A

Quantum query complexity is a widely studied model for understanding the capabilities and limitations of quantum computers. In this dissertation, we aim to better understand this complexity measure with respect to many natural models that are not well-studied. In particular, we are interested in the following concrete questions.

1) How powerful are quantum computers that could make multiple queries in parallel relative to analogous classical computers?

2) Can there be a simple quantum algorithmic primitive that inherently combines quantum walks and quantum search?

3) How are problems with constant-sized 1-certificates such as k-sum and triangle detection related with each other?