Friday, September 15, 2023

Physicists Observe ‘Unobservable’ Quantum Phase Transition

Math and Science News from Quanta Magazine
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QUANTUM PHYSICS | ALL TOPICS

 

Physicists Observe 'Unobservable' Quantum Phase Transition

By CHARLIE WOOD

Measurement and entanglement both have a "spooky" nonlocal flavor to them. Now physicists are harnessing that nonlocality to probe the spread of quantum information and control it.

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QUANTUM COMPUTING

 

Machine Learning Aids Classical Modeling of Quantum Systems

By LAKSHMI CHANDRASEKARAN

By using "classical shadows," ordinary computers can beat quantum computers at the tricky task of understanding quantum behaviors.

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Related: 
New Codes Could Make Quantum
Computing 10 Times More Efficient

By Charlie Wood

GEOMETRY

 

A Tower of Conjectures That Rests Upon a Needle

By JORDANA CEPELEWICZ

On its surface, the Kakeya conjecture seems like just a simple statement about rotating needles. But it underpins a wealth of mathematics, including a set of major problems in harmonic analysis.

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Related: 
New Proof Threads the Needle
on a Sticky Geometry Problem

By Jordana Cepelewicz

BIODIVERSITY

 

'Species Repulsion' Enables High Biodiversity in Tropical Trees

By VERONIQUE GREENWOOD

Because tree seedlings don't grow as well when close to their parents, more tree species can be packed into tropical forests.

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QUANTA SCIENCE PODCAST

 

Chatbots Don't Know What Stuff Isn't

Article by MAX G. LEVY;
Podcast hosted by SUSAN VALOT

Researchers still don't understand whether machines will ever truly know the word "no."

Listen to the podcast

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Around the Web

A Crushing Problem
A computer scientist analyzed the complexity of a popular mobile game, Candy Crush, and found that it is NP-hard — that is, it's hard to solve, but answers are easy to verify. Manon Bischoff reports on the finding for Scientific American. Complexity theory helps to clarify what kinds of problems can be solved easily by classical computers, and how quantum computers can solve some of the harder problems. In 2018, Kevin Hartnett wrote a short guide to the different complexity classes for Quanta.

Cut to the Good Stuff
What's the fairest way to split a cake? When dividing between two people, the "I cut, you choose" method works, but among more people, the division gets more complicated, Stephen Ornes writes for Science News. The cake-cutting problem is a deceptively tricky one, and mathematicians have grappled with it for years. Back in 2016, Erica Klarreich reported for Quanta on a new algorithm that fairly splits a cake among any number of people.
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