# A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem

@article{Farhi2001AQA, title={A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem}, author={Edward Farhi and Jeffrey Goldstone and Sam Gutmann and Joshua M. Lapan and A Lundgren and Daniel Preda}, journal={Science}, year={2001}, volume={292}, pages={472 - 475} }

A quantum system will stay near its instantaneous ground state if the Hamiltonian that governs its evolution varies slowly enough. This quantum adiabatic behavior is the basis of a new class of algorithms for quantum computing. We tested one such algorithm by applying it to randomly generated hard instances of an NP-complete problem. For the small examples that we could simulate, the quantum adiabatic algorithm worked well, providing evidence that quantum computers (if large ones can be built…

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