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Topological Quantum Computing
Open Quantum Systems Decoherence
Discriminant indicators with generalized inversion symmetry
arXiv
Authors: Tsuneya Yoshida, Ryo Okugawa, Yasuhiro Hatsugai
Year
2021
Paper ID
6868
Status
Preprint
Abstract Read
~2 min
Abstract Words
71
Citations
N/A
Abstract
We propose indicators of the discriminant for systems with generalized inversion symmetry which are computed from data only at high-symmetry points in the Brillouin zone. Our approach captures the exceptional points and their symmetry-protected variants without ambiguity arising from the reference energy, which is advantage over the previously known indicators for non-Hermitian systems. As demonstrations, we systematically analyze 3times 3-Hamiltonians where the proper choice of the reference energy is not obvious.
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- This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
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- We propose indicators of the discriminant for systems with generalized inversion symmetry which are computed from data only at high-symmetry points in the Brillouin zone.
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