Modular commutator in gapped quantum many-body systems

IH Kim, B Shi, K Kato, VV Albert - Physical Review B, 2022 - APS
In Phys. Rev. Lett. 128, 176402 (2022) 0031-9007 10.1103/PhysRevLett. 128.176402, we
argued that the chiral central charge—a topologically protected quantity characterizing the …

Multipartitioning topological phases by vertex states and quantum entanglement

Y Liu, R Sohal, J Kudler-Flam, S Ryu - Physical Review B, 2022 - APS
We discuss multipartitions of the gapped ground states of (2+ 1)-dimensional topological
liquids into three (or more) spatial regions that are adjacent to each other and meet at points …

Deciphering the nonlocal entanglement entropy of fracton topological orders

B Shi, YM Lu - Physical Review B, 2018 - APS
The ground states of topological orders condense extended objects and support topological
excitations. This nontrivial property leads to nonzero topological entanglement entropy S …

Fusion rules from entanglement

B Shi, K Kato, IH Kim - Annals of Physics, 2020 - Elsevier
We derive some of the axioms of the algebraic theory of anyon (Kitaev, 2006) from a
conjectured form of entanglement area law for two-dimensional gapped systems. We derive …

Exponential clustering of bipartite quantum entanglement at arbitrary temperatures

T Kuwahara, K Saito - Physical Review X, 2022 - APS
Many inexplicable phenomena in low-temperature many-body physics are a result of
macroscopic quantum effects. Such macroscopic quantumness is often evaluated via long …

Entanglement bootstrap approach for gapped domain walls

B Shi, IH Kim - Physical Review B, 2021 - APS
We develop a theory of gapped domain wall between topologically ordered systems in two
spatial dimensions. We find a new type of superselection sector—referred to as the parton …

Approximate quantum error correction revisited: introducing the alpha-bit

P Hayden, G Penington - Communications in Mathematical Physics, 2020 - Springer
We establish that, in an appropriate limit, qubits of communication should be regarded as
composite resources, decomposing cleanly into independent correlation and transmission …

Multipartite quantum nonlocality and Bell-type inequalities in a spin-1/2 model with topological quantum phase transitions

ZY Sun, HX Wen, M Li, Y Li - Physical Review A, 2021 - APS
Multipartite quantum nonlocality and Bell-type inequalities are used to characterize quantum
correlations in an infinite-size bond-alternating spin-1 2 Heisenberg chain with next-nearest …

Persistent Topological Negativity in a High-Temperature Mixed-State

Y Kim, A Lavasani, S Vijay - arxiv preprint arxiv:2408.00066, 2024 - arxiv.org
We study the entanglement structure of the Greenberger-Horne-Zeilinger (GHZ) state as it
thermalizes under a strongly-symmetric quantum channel describing the Metropolis …

Verlinde formula from entanglement

B Shi - Physical Review Research, 2020 - APS
We derive the Verlinde formula from a recently advocated set of axioms about entanglement
entropy [Shi, Kato, and Kim, Ann. Phys., 168164 (2020) 10.1016/j. aop. 2020.168164]. For …