14 citations · 20 across the 10 of their papers we have counts for
11 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}…
A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems
Ruizhi Liu, Jinmin Yi, Dominic V. Else
In mixed states of quantum systems, symmetries come in two types: strong and weak. Furthermore, it has been argued that in quantum many-body systems, strong symmetries can be "spon…
Anomalies in quantum spin systems and Nielsen-Ninomiya type Theorems
Ruizhi Liu
We provide an algebraic perspective on Nielsen--Ninomiya-type no-go theorems arising from group cohomological anomalies, revisiting in particular the version proved by Kapustin and…
When does a lattice higher-form symmetry flow to a topological higher-form symmetry at low energies?
Ruizhi Liu, Pok Man Tam, Ho Tat Lam +1
We study the lattice version of higher-form symmetries on tensor-product Hilbert spaces. Interestingly, at low energies, these symmetries may not flow to the topological higher-for…
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…
On whether quantum theory needs complex numbers: the foil theories perspective
Yìlè Yīng, Maria Ciudad Alañón, Daniel Centeno +5
Recent work by Renou et al. (2021) has led to some controversy concerning the question of whether quantum theory requires complex numbers for its formulation. We promote the view t…
Higher obstructions to conformal boundary conditions and lattice realizations
Ruizhi Liu, Weicheng Ye
Although it is long believed that vanishing of chiral central charges of a 2d conformal field theory (CFT) implies the existence of conformal boundary conditions, there are yet hig…
Higher-Matter and Landau-Ginzburg Theory of Higher-Group Symmetries
Ruizhi Liu, Ran Luo, Yi-Nan Wang
Higher-matter is defined by higher-representation of a symmetry algebra, such as the -form symmetries, higher-group symmetries or higher-categorical symmetries. In this paper, w…
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…
Symmetries and anomalies of Kitaev spin- models: Identifying symmetry-enforced exotic quantum matter
Ruizhi Liu, Ho Tat Lam, Han Ma +1
We analyze the internal symmetries and their anomalies in the Kitaev spin- models. Importantly, these models have a lattice version of a 1-form symmetry, denoted…