Abstract: Quantum walk-based search algorithms have demonstrated an asymptotic quadratic speedup compared to classical search methods. Formulating a generic search problem as a (quantum) search over a ...

In an era dominated by social media, misinformation has become an all too familiar foe, infiltrating our feeds and sowing seeds of doubt and confusion. With more than half of social media users across ...

The Meet in the Middle approach is an optimization technique for solving problems like the Subset Sum Problem, particularly when n is around 30–40. It reduces time complexity from O(2ⁿ) to O(2ⁿ/²), ...

The original version of this story appeared in Quanta Magazine. One July afternoon in 2024, Ryan Williams set out to prove himself wrong. Two months had passed since he’d hit upon a startling ...

Abstract: Given a multiset of n positive integers and a target sum S, the subset sum problem is to find a subset such that the sum of its elements is as close as possible to S without exceeding S. We ...

Zero-sum thinking has spread like a mind virus, from geopolitics to pop culture. Credit...Photo illustration by Pablo Delcan Supported by By Damien Cave Damien covers global affairs. He is based in ...

STATEN ISLAND, N.Y. - A Dutchess County resident claimed a $1,000 A Day For Life top prize by matching all six numbers in the Aug. 30 CASH4LIFE drawing, New York Lottery says. The winning numbers were ...

The original version of this story appeared in Quanta Magazine. If you’ve been making the same commute for a long time, you’ve probably settled on what seems like the best route. But “best” is a ...

Cosmonaut Nikolai Chub working on the Russian segment of the International Space Station during an April 2024 spacewalk. Credit: NASA MILAN – Spacewalks, often a highlight of space missions, are ...

Problem Statement: Given an array print all the sum of the subset generated from it, in the increasing order. Explanation: We have to find all the subset’s sum and print them.in this case the ...