Admittedly, these black box limitations do not rule out the possibility that efficient quantum algorithms for NP-complete or even harder problems are waiting to be discovered.

With NP-complete problems you could discover a fast algorithm to solve Sudoku puzzles that could also break the encryption schemes that protect our digital economy.

Since MaxSAT is NP-hard, no algorithm is known to efficiently solve these problems. Here we present a continuous-time analog solver for MaxSAT and show that the scaling of the escape rate, an ...

By showing that a quantum algorithm can verify solutions to NP-complete problems efficiently, the result could allow for new applications in secure remote quantum computing. A client with a ...

For Mario, the team also prove that the games are NP-complete, an additional property with important consequences. Many difficult problems can be converted into any problem in the NP-complete ...

In computational complexity theory, P and NP are two classes of problems. P is the class of decision problems that a deterministic Turing machine can solve in polynomial time. In useful terms… ...

This is a preview. Log in through your library . Abstract The k-cut problem is to find a partition of an edge weighted graph into k nonempty components, such that the total edge weight between ...