Strict area law entanglement versus chirality

2024/08/19 by Xiangdong Li, Li, Xiang, Ting-Chun Lin +5 · 3 citations
Materials Science · Mathematics · #Algebraic structures and combinatorial models #FOS: Physical sciences #Magnetism in coordination complexes #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Physics (quant-ph) #Quasicrystal Structures and Properties #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.2408.10306

openalex publication_date 2024/08/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Chirality is a property of a gapped phase of matter in two spatial dimensions that can be manifested through non-zero thermal or electrical Hall conductance. In this paper, we prove two no-go theorems that forbid such chirality for a quantum state in a finite dimensional local Hilbert space with strict area law entanglement entropies. As a crucial ingredient in the proofs, we introduce a new quantum information-theoretic primitive called instantaneous modular flow, which has many other potential applications.

Cited by

• Probing chiral topological states with permutation defects
• No-go theorems for sequential preparation of two-dimensional chiral states via channel-state correspondence
• Universal quantum phase classification on quantum computers from machine learning

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