Thought— Oct 2025
Math is the gateway drug into other areas of inquiry.
Thought— Oct 2025
Learning mathematics is like lowering the entropy in your mind.
Thought— Oct 2025
Sometimes I feel like P = NP??
Research
In Progress / Ideas
A General Learning Task for the Hidden Subgroup Problem
In this paper, I extend the learning task laid out in by the IBM team to a more general one that can be applied to any finite abelian group.
A Quantum Singular Value Transform for Graph Isomorphisms
In this paper, I adapt the framework of Quantum Singular Value Transform (QSVT) to design an algorithm for computing graph isomorphisms.
Quantum Walk for Smallest Enclosing Circle
A common task in computational geometry is to find the smallest circle that encompasses a set of points on a plane.
Amazingly, the classical runtime for this algorithm can be brought down from O(n^4) to O(n) by simple randomization techniques!
In this paper I examine the use of a quantum walk to bring it down further to O(sqrt(n)).
Notes & Blog
Projects
Quantum Matrix Multiplier — This is a python simulation of a quantum circuit implementation to multiply to nxn matrices. The circuit itself does not give much of a speedup but the python classes are useful to simulate other circuits out of 1 and 2-qubit gates. repo
Youtube Playlists
Quantum Mechanics Playlist
Quantum Computing Playlist
Topology Playlist
Drawings/Paintings
Astrophotography
Contact
Email: kareem.diab@gmail.com