English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Preprint

Efficient Adiabatic Preparation of Tensor Network States

MPS-Authors
/persons/resource/persons263554

Wei,  Zhiyuan
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

/persons/resource/persons241601

Malz,  Daniel
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

/persons/resource/persons60441

Cirac,  J. Ignacio
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

2209.01230.pdf
(Preprint), 678KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Wei, Z., Malz, D., & Cirac, J. I. (submitted). Efficient Adiabatic Preparation of Tensor Network States.


Cite as: https://hdl.handle.net/21.11116/0000-000B-37D0-C
Abstract
We propose and study a specific adiabatic path to prepare a family of tensor
network states that are unique ground states of few-body parent Hamiltonians in
finite lattices, which include normal tensor network states, as well as other
relevant non-normal states. This path guarantees a gap and allows for efficient
numerical simulation. In 1D we numerically investigate the preparation of a
family of states with varying correlation lengths and the 1D AKLT state and
show that adiabatic preparation can be much faster than standard methods based
on sequential preparation. We also apply the method to the 2D AKLT state on the
hexagonal lattice for which no method based on sequential preparation is known,
and show that it can be prepared very efficiently for relatively large
lattices.