6 papers
Universal Decay of Mutual Information and Conditional Mutual Information in Gapped Pure- and Mixed-State Quantum Matter
Jinmin Yi, Kangle Li, Chuan Liu +2
For spin and fermionic systems in any spatial dimension, we establish that the superpolynomial decay behavior of mutual information and conditional mutual information is a universa…
Entanglement sharing schemes
Zahra Khanian, Dongjin Lee, Debbie Leung +7
We ask how quantum correlations can be distributed among many subsystems. To address this, we define entanglement sharing schemes (ESS) where certain pairs of subsystems allow enta…
Entanglement area law and Lieb-Schultz-Mattis theorem in long-range interacting systems, and symmetry-enforced long-range entanglement
Ruizhi Liu, Jinmin Yi, Shiyu Zhou +1
We establish multiple interrelated, fundamental results in quantum many-body systems that can have long-range interactions. For a sufficiently long quantum spin chain, we first sho…
Twisted locality-preserving automorphisms, anomaly index, and generalized Lieb-Schultz-Mattis theorems with anti-unitary symmetries
Ruizhi Liu, Jinmin Yi, Liujun Zou
Symmetries and their anomalies are powerful tools to understand quantum matter. In this work, for quantum spin chains, we define twisted locality-preserving automorphisms and their…
Lovász Meets Lieb-Schultz-Mattis: Complexity in Approximate Quantum Error Correction
Jinmin Yi, Ruizhi Liu, Zhi Li
Approximate quantum error correction (AQEC) provides a versatile framework for both quantum information processing and probing many-body entanglement. We reveal a fundamental tensi…
Noise-strength-adapted approximate quantum codes inspired by machine learning
Shuwei Liu, Shiyu Zhou, Zi-Wen Liu +1
We demonstrate that machine learning provides a powerful tool for discovering new approximate quantum error-correcting (AQEC) codes beyond conventional algebraic frameworks. Buildi…