Preparing projected entangled pair states on a quantum computer

Phys Rev Lett. 2012 Mar 16;108(11):110502. doi: 10.1103/PhysRevLett.108.110502. Epub 2012 Mar 13.

Abstract

We present a quantum algorithm to prepare injective projected entangled pair states (PEPS) on a quantum computer, a class of open tensor networks representing quantum states. The run time of our algorithm scales polynomially with the inverse of the minimum condition number of the PEPS projectors and, essentially, with the inverse of the spectral gap of the PEPS's parent Hamiltonian.