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Simulating quantum circuits using tree tensor networks

delete2023-03-30
delete9
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OA
AI
P
Philipp Seitz *
I
Ismael Medina
E
Esther Cruz
Q
Qunsheng Huang
C
Christian B. Mendl
DOI:10.22331/q-2023-03-30-964delete
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摘要

摘要

En 中文
We develop and analyze a method for simu-lating quantum circuits on classical computers by representing quantum states as rooted tree tensor networks. Our algorithm first deter-mines a suitable, fixed tree structure adapted to the expected entanglement generated by the quantum circuit. The gates are sequentially applied to the tree by absorbing single-qubit gates into leaf nodes, splitting two-qubit gates via singular value decomposition and thread-ing the resulting virtual bond through the tree. We theoretically analyze the applicability of the method as well as its computational cost and memory requirements and identify advan-tageous scenarios in terms of required bond dimensions as compared to a matrix product state representation. The study is comple-mented by numerical experiments for different quantum circuit layouts up to 37 qubits.
Keyword:
RENORMALIZATION-GROUP

期刊

Quantum 封面图
Quantum
IF:
5.4
论文数:
951
被引数:
1.0W

机构

U
University of Gottingen
学者数:
2.5W
论文数: 2.1W
被引数: 36
T
Technical University of Munich
学者数:
5.2W
论文数: 3.9W
被引数: 6.2W
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