The maximally mixed state in the translation-invariant subspace of a 1D ring is long-range entangled because the dimension of translationally symmetric short-range entangled states grows polynomially while the full subspace grows exponentially.
Toward a Classification of Mixed-State Topological Orders in Two Dimensions
8 Pith papers cite this work, alongside 46 external citations. Polarity classification is still indexing.
8
Pith papers citing it
46
external citations · external index
representative citing papers
Locally stable states are equivalent to short-range correlated states and define phases invariant under locally reversible channels, with decay of nonlinear correlators and links to canonical purifications.
Exact solution of Pauli-noisy matchgate circuits on critical Ising states reveals a noise-induced emergent length scale that produces thermal quasiparticle distributions despite infinite-temperature dissipation, accessible via single-qubit probes.
Krylov complexity remains nonsingular at SWSSB crossovers but shows a singular area-to-volume-law transition at genuine mixed-state SWSSB phase transitions in dephasing channels.
Nonreciprocity combined with open boundaries and symmetry defects produces a domain-wall traveling-wave phase and anomalous chiral relaxation in open quantum systems.
Generalized coherent information acts as a sharp phase-transition indicator over the entire p-T plane in the 2D ±J random-bond Ising model, yielding a high-precision multicritical point estimate p_c=0.1092212(4) with reduced finite-size effects.
Time evolution of genuine multipartite negativity in the open Kitaev quantum spin liquid shows persistence in loopy subregions in Markovian regime and at higher temperatures in non-Markovian regime.
citing papers explorer
-
Mixed-State Long-Range Entanglement from Dimensional Constraints
The maximally mixed state in the translation-invariant subspace of a 1D ring is long-range entangled because the dimension of translationally symmetric short-range entangled states grows polynomially while the full subspace grows exponentially.
-
A Unified Framework for Locally Stable Phases
Locally stable states are equivalent to short-range correlated states and define phases invariant under locally reversible channels, with decay of nonlinear correlators and links to canonical purifications.
-
Insights into decohered critical states using an exact solution to matchgate circuits with Pauli noise
Exact solution of Pauli-noisy matchgate circuits on critical Ising states reveals a noise-induced emergent length scale that produces thermal quasiparticle distributions despite infinite-temperature dissipation, accessible via single-qubit probes.
-
Krylov Complexity and Mixed-State Phase Transition
Krylov complexity remains nonsingular at SWSSB crossovers but shows a singular area-to-volume-law transition at genuine mixed-state SWSSB phase transitions in dephasing channels.
-
Nonreciprocity-enriched steady phases in open quantum systems
Nonreciprocity combined with open boundaries and symmetry defects produces a domain-wall traveling-wave phase and anomalous chiral relaxation in open quantum systems.
-
Revisiting Nishimori multicriticality through the lens of information measures
Generalized coherent information acts as a sharp phase-transition indicator over the entire p-T plane in the 2D ±J random-bond Ising model, yielding a high-precision multicritical point estimate p_c=0.1092212(4) with reduced finite-size effects.
-
Fate of entanglement in open quantum spin liquid: Time evolution of its genuine multipartite negativity upon sudden coupling to a dissipative bosonic environment
Time evolution of genuine multipartite negativity in the open Kitaev quantum spin liquid shows persistence in loopy subregions in Markovian regime and at higher temperatures in non-Markovian regime.
- Establishing Mixed-State Phase Equivalence beyond Renormalization Fixed Points