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Peer-reviewedCC BYPhysical Review X

Fractional Quantum Hall States under Density Decoherence

  • Zijian Wang1,2
  • Ruihua Fan2
  • Tianle Wang3,2
  • Samuel J. Garratt4,2
  • Ehud Altman5,2
5 affiliations
  1. 1Tsinghua University
  2. 2University of California
  3. 3Harvard University
  4. 4Princeton University
  5. 5Lawrence Berkeley National Laboratory
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Abstract

Fractional quantum Hall states are promising platforms for topological quantum computation due to their capacity to encode quantum information in topologically degenerate ground states and in the fusion space of non-Abelian anyons. We investigate how the information encoded in two paradigmatic states, the Laughlin and Moore-Read states, is affected by density decoherence—coupling of local charge density to nonthermal noise. We identify a critical filling factor ν c , above which the quantum information remains fully recoverable for arbitrarily strong decoherence. The ν = 1 / 3 Laughlin state and ν = 1 / 2 Moore-Read state both lie within this range. Below ν c both classes of states undergo a decoherence-induced Berezinskii-Kosterlitz-Thouless (BKT) transition into a critical decohered phase. For Laughlin states, information encoded in the topological ground state manifold degrades continuously with decoherence strength inside this critical phase, vanishing only in the limit of infinite decoherence strength. On the other hand, quantum information encoded in the fusion space of non-Abelian anyons of the Moore-Read states remains fully recoverable under arbitrarily strong decoherence even beyond the BKT transition. These results lend further support to the promise of non-Abelian FQH states as platforms for topological quantum computation. They reveal how the interplay between chiral topological order and global symmetry can give rise to novel mixed-state phases under decoherence, distinguished by their capacity for storing quantum information.

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Cite

BibTeXRIS
BibTeX
@article{wang2026fractional,
  title = {{Fractional Quantum Hall States under Density Decoherence}},
  author = {Zijian Wang and Ruihua Fan and Tianle Wang and Samuel J. Garratt and Ehud Altman},
  journal = {Physical Review X},
  year = {2026},
  month = aug,
  doi = {10.1103/bw7c-y5dc},
  url = {https://doi.org/10.1103/bw7c-y5dc},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Fractional Quantum Hall States under Density Decoherence
AU  - Zijian Wang
AU  - Ruihua Fan
AU  - Tianle Wang
AU  - Samuel J. Garratt
AU  - Ehud Altman
PY  - 2026
DA  - 2026/08/04
JO  - Physical Review X
DO  - 10.1103/bw7c-y5dc
UR  - https://doi.org/10.1103/bw7c-y5dc
AB  - Fractional quantum Hall states are promising platforms for topological quantum computation due to their capacity to encode quantum information in topologically degenerate ground states and in the fusion space of non-Abelian anyons. We investigate how the information encoded in two paradigmatic states, the Laughlin and Moore-Read states, is affected by density decoherence—coupling of local charge density to nonthermal noise. We identify a critical filling factor ν c , above which the quantum information remains fully recoverable for arbitrarily strong decoherence. The ν = 1 / 3 Laughlin state and ν = 1 / 2 Moore-Read state both lie within this range. Below ν c both classes of states undergo a decoherence-induced Berezinskii-Kosterlitz-Thouless (BKT) transition into a critical decohered phase. For Laughlin states, information encoded in the topological ground state manifold degrades continuously with decoherence strength inside this critical phase, vanishing only in the limit of infinite decoherence strength. On the other hand, quantum information encoded in the fusion space of non-Abelian anyons of the Moore-Read states remains fully recoverable under arbitrarily strong decoherence even beyond the BKT transition. These results lend further support to the promise of non-Abelian FQH states as platforms for topological quantum computation. They reveal how the interplay between chiral topological order and global symmetry can give rise to novel mixed-state phases under decoherence, distinguished by their capacity for storing quantum information.
SN  - 2160-3308
ER  -