67 citations · 412 across the 23 of their papers we have counts for
23 papers
Approximate Quantum Error Correction at Chiral Topological Edges
Yuntai Song, Zejun Liu, Zhencheng Wang +2
Topologically ordered phases naturally realize quantum error correction through nonlocal encoding of quantum information. More recently, conformal field theories have been shown to…
Chirality, magic, and quantum correlations in multipartite quantum states
Shreya Vardhan, Bowen Shi, Isaac H. Kim +1
We introduce a notion of chirality for generic quantum states. A chiral state is defined as a state which cannot be transformed into its complex conjugate in a local product basis…
Strict area law entanglement versus chirality
Xiang Li, Ting-Chun Lin, John McGreevy +1
Chirality is a property of a gapped phase of matter in two spatial dimensions that can be manifested through non-zero thermal or electrical Hall conductance. In this paper, we prov…
Strict area law implies commuting parent Hamiltonian
Isaac H. Kim, Ting-Chun Lin, Daniel Ranard +1
We show that in two spatial dimensions, when a quantum state has entanglement entropy obeying a strict area law, meaning for constants independent o…
Conformal geometry from entanglement
Isaac H. Kim, Xiang Li, Ting-Chun Lin +2
In a physical system with conformal symmetry, observables depend on cross-ratios, measures of distance invariant under global conformal transformations (conformal geometry for shor…
Chiral Virasoro algebra from a single wavefunction
Isaac H. Kim, Xiang Li, Ting-Chun Lin +2
Chiral edges of 2+1D systems can have very robust emergent conformal symmetry. When the edge is purely chiral, the Hilbert space of low-energy edge excitations can form a represent…
Immersed figure-8 annuli and anyons
Bowen Shi
Immersion (i.e., local embedding) is relevant to the physics of topologically ordered phases through the entanglement bootstrap. An annulus can be immersed in a disk or a sphere as…
Universal lower bound on topological entanglement entropy
Isaac H. Kim, Michael Levin, Ting-Chun Lin +2
Entanglement entropies of two-dimensional gapped ground states are expected to satisfy an area law, with a constant correction term known as the topological entanglement entropy (T…
Remote detectability from entanglement bootstrap I: Kirby's torus trick
Bowen Shi, Jin-Long Huang, John McGreevy
Remote detectability is often taken as a physical assumption in the study of topologically ordered systems, and it is a central axiom of mathematical frameworks of topological quan…
Modular Commutators in Conformal Field Theory
Yijian Zou, Bowen Shi, Jonathan Sorce +2
The modular commutator is a recently discovered multipartite entanglement measure that quantifies the chirality of the underlying many-body quantum state. In this Letter, we derive…
Knots and entanglement
Jin-Long Huang, John McGreevy, Bowen Shi
We extend the entanglement bootstrap approach to (3+1)-dimensions. We study knotted excitations of (3+1)-dimensional liquid topological orders and exotic fusion processes of loops.…
Modular commutator in gapped quantum many-body systems
Isaac H. Kim, Bowen Shi, Kohtaro Kato +1
In arXiv:2110.06932, we argued that the chiral central charge -- a topologically protected quantity characterizing the edge theory of a gapped (2+1)-dimensional system -- can be ex…
Chiral central charge from a single bulk wave function
Isaac H. Kim, Bowen Shi, Kohtaro Kato +1
A -dimensional gapped quantum many-body system can have a topologically protected energy current at its edge. The magnitude of this current is determined entirely by the tem…
Entanglement negativity at the critical point of measurement-driven transition
Bowen Shi, Xin Dai, Yuan-Ming Lu
We study the entanglement behavior of a random unitary circuit punctuated by projective measurements at the measurement-driven phase transition in one spatial dimension. We numeric…
Domain wall topological entanglement entropy
Bowen Shi, Isaac H. Kim
We study the ground-state entanglement of gapped domain walls between topologically ordered systems in two spatial dimensions. We derive a universal correction to the ground-state…
Entanglement bootstrap approach for gapped domain walls
Bowen Shi, Isaac H. Kim
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…
Verlinde formula from entanglement
Bowen Shi
We derive the Verlinde formula from a recently advocated set of axioms about entanglement entropy [B. Shi, K. Kato, I. H. Kim, arXiv:1906.09376 (2019)]. For any state that obeys th…
Fusion rules from entanglement
Bowen Shi, Kohtaro Kato, Isaac H. Kim
We derive some of the axioms of the algebraic theory of anyon [A. Kitaev, Ann. Phys., 321, 2 (2006)] from a conjectured form of entanglement area law for two-dimensional gapped sys…
Seeing topological entanglement through the information convex
Bowen Shi
The information convex allows us to look into certain information-theoretic constraints in two-dimensional topological orders. We provide a derivation of the topological contributi…
Characterizing topological order by the information convex
Bowen Shi, Yuan-Ming Lu
Motivated by previous efforts in detecting topological orders from the ground state(s) wave function, we introduce a new quantum information tool, coined the information convex, to…
Deciphering the nonlocal entanglement entropy of fracton topological orders
Bowen Shi, Yuan-Ming Lu
The ground states of topological orders condense extended objects and support topological excitations. This nontrivial property leads to nonzero topological entanglement entropy $S…
Classification and surface anomaly of glide symmetry protected topological phases in three dimensions
Fuyan Lu, Bowen Shi, Yuan-Ming Lu
We study glide protected topological (GSPT) phases of interacting bosons and fermions in three spatial dimensions certain on-site symmetries. They are crystalline SPT phases, which…
Basis invariant description of chemical equilibrium with implications for a recent axionic leptogenesis model
Bowen Shi, Stuart Raby
We provide a systematic treatment of chemical equilibrium in the presence of a specific type of time dependent background. The type of time dependent background we consider appears…