Quantum Information Theoretic Proof of Chirality
APA
Yoshida, B. (2025). Quantum Information Theoretic Proof of Chirality. Perimeter Institute. https://pirsa.org/25100146
MLA
Yoshida, Beni. Quantum Information Theoretic Proof of Chirality. Perimeter Institute, Oct. 15, 2025, https://pirsa.org/25100146
BibTex
@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}}
}
Beni Yoshida Perimeter Institute for Theoretical Physics
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.