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3-Fermion Topological Quantum Computation

delete2024-02-02
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OA
AI
S
Sam Roberts *
D
Dominic J. Williamson
DOI:10.1103/PRXQuantum.5.010315delete
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摘要

摘要

En 中文
We present a scheme for universal topological quantum computation based on Clifford -complete braiding and fusion of symmetry defects in the 3-fermion anyon theory, supplemented with magic state injection. We formulate a fault -tolerant measurement -based realization of this computational scheme on the lattice using ground states of the Walker -Wang model for the 3-fermion anyon theory with symmetry defects. The Walker -Wang measurement -based topological quantum computation paradigm that we introduce provides a general construction of computational resource states with thermally stable symmetry -protected topological order. We also demonstrate how symmetry defects of the 3-fermion anyon theory can be realized in a two-dimensional subsystem code due to Bombin-making contact with an alternative implementation of the 3-fermion defect -computation scheme via code deformations.
Keyword:
ACCURACY THRESHOLD
SYMMETRY

期刊

P
PRX Quantum
IF:
11
论文数:
919
被引数:
9.0K

机构

U
University of Sydney
学者数:
6.5W
论文数: 6.2W
被引数: 90
S
Stanford University
学者数:
9.6W
论文数: 8.2W
被引数: 17.0W
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