# Quantum Computation by Adiabatic Evolution

@article{Farhi2000QuantumCB, title={Quantum Computation by Adiabatic Evolution}, author={Edward Farhi and Jeffrey Goldstone and Sam Gutmann and Michael Sipser}, journal={arXiv: Quantum Physics}, year={2000} }

We give a quantum algorithm for solving instances of the satisfiability problem, based on adiabatic evolution. The evolution of the quantum state is governed by a time-dependent Hamiltonian that interpolates between an initial Hamiltonian, whose ground state is easy to construct, and a final Hamiltonian, whose ground state encodes the satisfying assignment. To ensure that the system evolves to the desired final ground state, the evolution time must be big enough. The time required depends on…

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