The Complexity of Quantum Systems on a One-dimensional Chain - Quantum PhysicsReport as inadecuate




The Complexity of Quantum Systems on a One-dimensional Chain - Quantum Physics - Download this document for free, or read online. Document in PDF available to download.

Abstract: We prove that adiabatic computation is equivalent to standard quantumcomputation even when the adiabatic quantum system is restricted to be a set ofparticles on a one-dimensional chain. We give a construction that uses a2-local Hamiltonian on nearest neighbors using particles that can have tendistinct states. This implies a construction of a one-dimensional chain ofqubits in which the Hamiltonian is 6-local. We adapt this construction to showthat the 2-local Hamiltonian for 13-state particles is QMA-complete which inturn implies that the 8-local Hamiltonian restricted to a one-dimensional chainof qubits is QMA-complete.



Author: Sandy Irani

Source: https://arxiv.org/



DOWNLOAD PDF




Related documents