Spectral Gap Optimization for Enhanced Adiabatic State Preparation

Physical Review Letters, vol. 135, pp. 090602

Abstract

The preparation of nontrivial states is crucial to the study of quantum many-body physics. Such states can be prepared with adiabatic quantum algorithms, which are restricted by the minimum spectral gap along the path. In this Letter, we propose an efficient method to adiabatically prepare tensor network states (TNSs). We maximize the spectral gap leveraging degrees of freedom in the parent Hamiltonian construction. We demonstrate this efficient adiabatic algorithm for preparing TNSs, through examples of random TNSs in one dimension, AKLT (Affleck-Kennedy-Lieb-Tasaki), and GHZ states. The Hamiltonian optimization applies to both injective and non-injective tensors, in the latter case by exploiting symmetries present in the tensors.

Authors 3

1. Kshiti Sneh Rai Aachen

   Leiden University

   Affiliation as printed

   Universiteit Leiden

2. Patrick Emonts Aachen

   Leiden University · Universität Ulm · Center for Integrated Quantum Science and Technology

   Affiliation as printed

   Center for Integrated Quantum Science and Technology (IQST)

   Ulm University

   Universiteit Leiden

3. Jordi Tura Aachen

   Leiden University

   Affiliation as printed

   Universiteit Leiden