TUCSON, Ariz. — Investigators looking to track down Nancy Guthrie’s suspected kidnappers are turning to a relatively new technology that has been attributed to solving some of the most prolific ...

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 ...

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Abstract: The Unbounded Knapsack Problem (UKP), as an important extension of the classical 0-1 knapsack problem, is an NP-hard combinatorial optimization problem characterized by its allowance for ...

The original version of this story appeared in Quanta Magazine. For computer scientists, solving problems is a bit like mountaineering. First they must choose a problem to solve—akin to identifying a ...

Right now, quantum computers are small and error-prone compared to where they’ll likely be in a few years. Even within those limitations, however, there have been regular claims that the hardware can ...

Combinatorial optimisation for knapsack problems addresses the challenge of selecting discrete items to maximise value under capacity constraints. Such problems are central to resource allocation, ...