QLunch: Constructing local frustration free Lindbladians with given MPDOs as stable space – University of Copenhagen

QMath > Events > Quantum Lunch > w36 Dmytro Bondarenko

QLunch: Constructing local frustration free Lindbladians with given MPDOs as stable space

Speaker: Dmytro Bondarenko from University of Hannover

Title: Constructing local  frustration free Lindbladians with given MPDOs as stable space
                                                                                            
Authors: Dmytro Bondarenko, Tobias J. Osborne                                                                                                  

Abstract:
Matrix product density operators (MPDOs) are an important class of states with interesting properties. Consequently, it is important to understand how to prepare these states experimentally. One possible way to do it is to design an open system such that it evolves only towards desired states. In this work we develop an algorithm that for a given (small) linear subspace of MPDOs determines if this subspace can be the stable space for some frustration free Lindbladian consisting of only local terms and, if so, outputs a desired Lindbladian. The related question of how many stable states does Lindbladian for a 1d system consisting of generic nearest neighbour terms without translational invariance can have is being discussed.