Constructing k-local parent Lindbladians for matrix product density operators
arXiv:2110.13134
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 this is to design an open system that evolves only towards desired states. A Markovian evolution of a quantum mechanical system can be generally described by a Lindbladian. 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 suitable Lindbladian.
References in corpus (7)
- Matrix Product Density Operators: Simulation of finite-T and dissipative systems
- Quantum trajectories and open many-body quantum systems
- Quantum memories based on engineered dissipation
- Approximating Gibbs states of local Hamiltonians efficiently with PEPS
- Quantum dynamics of thermalizing systems
- Matrix product operators and states: NP-hardness and undecidability
- Dynamics of quantum information in many-body localized systems