67 citations · 412 across the 23 of their papers we have counts for
11 papers · 1 filter
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 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…