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Computational complexity

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After a Quantum Clobbering, One Approach Survives Unscathed

December 7, 2022

A quantum approach to data analysis that relies on the study of shapes will likely remain an example of a quantum advantage — albeit for increasingly unlikely scenarios.

How Do You Prove a Secret?

October 11, 2022

Zero-knowledge proofs allow researchers to prove their knowledge without divulging the knowledge itself.

Computer Science Proof Unveils Unexpected Form of Entanglement

July 18, 2022

Three computer scientists have posted a proof of the NLTS conjecture, showing that systems of entangled particles can remain difficult to analyze even away from extremes.

Computer Scientists Prove That Certain Problems Are Truly Hard

May 11, 2022

Finding out whether a question is too difficult to ever solve efficiently depends on figuring out just how hard it is. Researchers have now shown how to do that for a major class of problems.

Which Computational Universe Do We Live In?

April 18, 2022

Cryptographers want to know which of five possible worlds we inhabit, which will reveal whether truly secure cryptography is even possible.

Researchers Identify ‘Master Problem’ Underlying All Cryptography

April 6, 2022

The existence of secure cryptography depends on one of the oldest questions in computational complexity.

Computer Scientists Eliminate Pesky Quantum Computations

January 19, 2022

For years, intermediate measurements made it hard to quantify the complexity of quantum algorithms. New work establishes that those measurements aren’t necessary after all.

Surprising Limits Discovered in Quest for Optimal Solutions

November 1, 2021

Algorithms that zero in on solutions to optimization problems are the beating heart of machine reasoning. New results reveal surprising limits.

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