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Topological Quantum Computing

Phase-sensitive representation of Majorana stabilizer states

arXiv
Authors: Tomislav Begušić, Garnet Kin-Lic Chan

Year

2026

Paper ID

1178

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

Abstract

Stabilizer states hold a special place in quantum information science due to their connection with quantum error correction and quantum circuit simulation. In the context of classical simulations of many-body physics, they are an example of states that can be both highly entangled and efficiently represented and transformed under Clifford operators. Recently, Clifford operators have been discussed in the context of fermionic quantum computation through their extension, the Majorana Clifford group. Here, we document the phase-sensitive form of the corresponding Majorana stabilizer states, as well as the algorithms for computing their amplitudes, their inner products, and update rules for transforming Majorana stabilizer states under Majorana Clifford gates.

Why This Paper Matters

  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • Stabilizer states hold a special place in quantum information science due to their connection with quantum error correction and quantum circuit simulation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2602.17604 [2] arXiv https://arxiv.org/abs/2602.17604 [3] Publisher https://arxiv.org/abs/2602.17604

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