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Title:

State diagrams to determine tree tensor network operators

Document type:
Zeitschriftenaufsatz
Author(s):
Richard M. Milbradt; Qunsheng Huang; Christian B. Mendl
Abstract:
This work is concerned with tree tensor network operators (TTNOs) for representing quantum Hamiltonians. We first establish a mathematical framework connecting tree topologies with state diagrams. Based on these, we devise an algorithm for constructing a TTNO given a Hamiltonian. The algorithm exploits the tensor product structure of the Hamiltonian to add paths to a state diagram, while combining local operators if possible. We test the capabilities of our algorithm on random Hamiltonians for a...     »
Journal title:
SciPost Physics Core
Year:
2024
Journal volume:
7
Year / month:
2024-06
Quarter:
2. Quartal
Month:
Jun
Pages contribution:
036
Reviewed:
ja
Language:
en
Fulltext / DOI:
doi:10.21468/SciPostPhysCore.7.2.036
WWW:
SciPostPhysCore.7.2.036
Publisher:
SciPost
Status:
Verlagsversion / published
TUM Institution:
School of Computation, Information and Technology
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