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

2001; American Association for the Advancement of Science; Volume: 292; Issue: 5516 Linguagem: Inglês

10.1126/science.1057726

1095-9203

Edward Farhi, Jeffrey Goldstone, Sam Gutmann, Joshua M. Lapan, A. P. Lundgren, Daniel Preda,

Computability, Logic, AI Algorithms

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) may be able to outperform ordinary computers on hard sets of instances of NP-complete problems.