14 citations · 15 across the 7 of their papers we have counts for
8 papers
Translation-Invariant Pure States with Exotic Half-Chain Factors
Ruizhi Liu, Jinmin Yi
We construct translation-invariant pure quasifree fermionic states on the one-dimensional lattice whose half-chain von Neumann algebras are hyperfinite factors of type $\mathrm{II}…
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…
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…
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…
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…
Complexity and order in approximate quantum error-correcting codes
Jinmin Yi, Weicheng Ye, Daniel Gottesman +1
We establish rigorous connections between quantum circuit complexity and approximate quantum error correction (AQEC) capability, two properties of fundamental importance to the phy…