Efficient adiabatic preparation of tensor network states
We propose and study a specific adiabatic path to prepare those 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 nonnormal states. This path guarantees a gap for finite system...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.L022037 |
| _version_ | 1827285223726907392 |
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| author | Zhi-Yuan Wei Daniel Malz J. Ignacio Cirac |
| author_facet | Zhi-Yuan Wei Daniel Malz J. Ignacio Cirac |
| author_sort | Zhi-Yuan Wei |
| collection | DOAJ |
| description | We propose and study a specific adiabatic path to prepare those 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 nonnormal states. This path guarantees a gap for finite systems and allows for efficient numerical simulation. In one dimension, we numerically investigate the preparation of a family of states with varying correlation lengths and the one-dimensional Affleck-Kennedy-Lieb-Tasaki (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 two-dimensonal 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. |
| first_indexed | 2024-04-24T10:10:19Z |
| format | Article |
| id | doaj.art-10db22dbcf0d4413bb1bca91225d45d5 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:10:19Z |
| publishDate | 2023-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-10db22dbcf0d4413bb1bca91225d45d52024-04-12T17:31:05ZengAmerican Physical SocietyPhysical Review Research2643-15642023-05-0152L02203710.1103/PhysRevResearch.5.L022037Efficient adiabatic preparation of tensor network statesZhi-Yuan WeiDaniel MalzJ. Ignacio CiracWe propose and study a specific adiabatic path to prepare those 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 nonnormal states. This path guarantees a gap for finite systems and allows for efficient numerical simulation. In one dimension, we numerically investigate the preparation of a family of states with varying correlation lengths and the one-dimensional Affleck-Kennedy-Lieb-Tasaki (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 two-dimensonal 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.http://doi.org/10.1103/PhysRevResearch.5.L022037 |
| spellingShingle | Zhi-Yuan Wei Daniel Malz J. Ignacio Cirac Efficient adiabatic preparation of tensor network states Physical Review Research |
| title | Efficient adiabatic preparation of tensor network states |
| title_full | Efficient adiabatic preparation of tensor network states |
| title_fullStr | Efficient adiabatic preparation of tensor network states |
| title_full_unstemmed | Efficient adiabatic preparation of tensor network states |
| title_short | Efficient adiabatic preparation of tensor network states |
| title_sort | efficient adiabatic preparation of tensor network states |
| url | http://doi.org/10.1103/PhysRevResearch.5.L022037 |
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