Abstract: Randomized algorithms are crucial subroutines in quantum computing, but the requirement to execute many types of circuits on a real quantum device has been challenging to their extensive ...

Prerequisites Graduate standing and an undergraduate algorithms course, or consent of the instructor. Online Forum Ed Discussion (accessible within Canvas) will be used for online discussion of the ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

Researchers have successfully used a quantum algorithm to solve a complex century-old mathematical problem long considered impossible for even the most powerful conventional supercomputers. The ...

There’s a familiar look in every college lecture hall. The glazed-over stare of someone just realizing they’re twelve slides wholly behind and lost. The professor keeps talking. The notes don’t make ...

The difficulties of algorithmic dynamics in highly nonconvex landscapes are central in several research areas, from hard combinatorial optimization to machine learning. However, it is unclear why and ...

Abstract: In undirected graphs with real non-negative weights, we give a new randomized algorithm for the single-source shortest path (SSSP) problem with running time ...

The operation of the power grid is closely related to meteorological disasters. Changes in meteorological conditions may have an impact on the operation and stability of the power system, leading to ...

The proposal suggests implementing a shared random algorithm to eliminate Maximal Extractable Value (MEV) at the block level and distribute block construction more equitably across the network. An ...

Select k-smallest item in an array A in nearly 2n time using LAZY-SELECT. Also implemented naive sorting & linear select algorithm.