PIRSA:25100146 Scientific Series Quantum Information

DOI10.48660/25100146

Series: Quantum Information

Yoshida, B. (2025). Quantum Information Theoretic Proof of Chirality. Perimeter Institute. https://pirsa.org/25100146

Yoshida, Beni. Quantum Information Theoretic Proof of Chirality. Perimeter Institute, Oct. 15, 2025, https://pirsa.org/25100146 

@misc{ pirsa_PIRSA:25100146,
  doi = {10.48660/25100146},
  url = {https://pirsa.org/25100146},
  author = {Yoshida, Beni},
  keywords = {Quantum Information},
  language = {en},
  title = {Quantum Information Theoretic Proof of Chirality},
  publisher = {Perimeter Institute},
  year = {2025},
  month = {oct},
  note = {PIRSA:25100146 see, \url{https://pirsa.org}}
}

Abstract

Chirality is a fundamental feature of many-body physics, typically manifesting through the breaking of time-reversal symmetry. Yet a precise quantum information-theoretic characterization of chirality has remained elusive. A recent proposal defines a state as chiral if transforming it into its complex conjugate requires a circuit of large depth. Here, we rigorously establish many-body chirality for a broad family of two-dimensional stabilizer pure and mixed states. We also prove that these states are 4-partite chiral, but not 3-partite chiral.

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