Fetching the paper…
Reading the bibliography…
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 (TEE).
E. H. Lieb and M. B. Ruskai, Proof of the strong subadditivity of quantum‐mechanical entropy, Journal of Mathematical Physics 14
1973
Earlier work this paper cites.
D. Petz, Sufficiency of channels over von Neumann algebras, Q. J. Math. 39
1988
Earlier work this paper cites.
A. Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics 303
2003
Earlier work this paper cites.
A. Hamma, R. Ionicioiu, and P. Zanardi, Bipartite entanglement and entropic boundary law in lattice spin systems, Phys. Rev. A 71
2005
Earlier work this paper cites.
M. A. Levin and X.-G. Wen, String-net condensation: A physical mechanism for topological phases, Phys. Rev. B 71
2005
Earlier work this paper cites.
M. B. Hastings and X.-G. Wen, Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance, Phys. Rev. B 72
2005
Earlier work this paper cites.
A. Kitaev and J. Preskill, Topological entanglement entropy, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
M. Levin and X.-G. Wen, Detecting topological order in a ground state wave function, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Bravyi, Unpublished, (2008)
2008
Earlier work this paper cites.
C. Castelnovo and C. Chamon, Topological order in a three-dimensional toric code at finite temperature, Phys. Rev. B 78
2008
Earlier work this paper cites.
S. V. Isakov, M. B. Hastings, and R. G. Melko, Topological entanglement entropy of a bose–hubbard spin liquid, Nature Physics 7
2011
Cited alongside, same era.
F. Hiai, M. Mosonyi, D. Petz, and C. Bény, Quantum f-divergences and error correction, Reviews in Mathematical Physics 23
2011
Cited alongside, same era.
H.-C. Jiang, Z. Wang, and L. Balents, Identifying topological order by entanglement entropy, Nature Physics 8
2012
Cited alongside, same era.
J. Cano, T. L. Hughes, and M. Mulligan, Interactions along an entanglement cut in 2 + 1 D 2+1\mathrm{D} abelian topological phases, Phys. Rev. B 92
2015
Cited alongside, same era.
J. Haah, An invariant of topologically ordered states under local unitary transformations, Communications in Mathematical Physics 342
2016
Cited alongside, same era.
B. Nachtergaele, R. Sims, and A. Young, Quasi-locality bounds for quantum lattice systems. i. lieb-robinson bounds, quasi-local maps, and spectral flow automorphisms, Journal of Mathematical Physics 60
2019
Later among the works it cites.
A. Hahn and R. Wolf, Generalized string-net model for unitary fusion categories without tetrahedral symmetry, Phys. Rev. B 102
2020
Later among the works it cites.
K. Kato and P. Naaijkens, An entropic invariant for 2d gapped quantum phases, Journal of Physics A: Mathematical and Theoretical 53
2020
Later among the works it cites.
K. Kato and F. G. S. L. Brandão, Toy model of boundary states with spurious topological entanglement entropy, Phys. Rev. Research 2
2020
Later among the works it cites.
B. Shi, K. Kato, and I. H. Kim, Fusion rules from entanglement, Annals of Physics 418
2020
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
L. Zou and J. Haah, Spurious long-range entanglement and replica correlation length, Phys. Rev. B 94
2016
Cited alongside, same era.
J. R. Fliss, X. Wen, O. Parrikar, C.-T. Hsieh, B. Han, T. L. Hughes, and R. G. Leigh, Interface contributions to topological entanglement in abelian chern-simons theory, Journal of High Energy Physics 2017
2017
Cited alongside, same era.
L. H. Santos, J. Cano, M. Mulligan, and T. L. Hughes, Symmetry-protected topological interfaces and entanglement sequences, Physical Review B 98
2018
Cited alongside, same era.
D. J. Williamson, A. Dua, and M. Cheng, Spurious topological entanglement entropy from subsystem symmetries, Phys. Rev. Lett. 122
2019
Cited alongside, same era.
D. T. Stephen, H. Dreyer, M. Iqbal, and N. Schuch, Detecting subsystem symmetry protected topological order via entanglement entropy, Phys. Rev. B 100
2019
Cited alongside, same era.
In particular, we used the fact that the string operators of the toric code are depth- 1 1 quantum circuits. In contrast, general anyon models can require higher depths, e.g., non-Abelian anyon strings need linear depth ( [ 28 ] , Chapter 7)
Cited in the paper.
More precisely, P P must be at least two lattice spacings away from the support of U ¯ \overline{U} ; see Fig. 9
Cited in the paper.
B. Shi, Anyon theory in gapped many-body systems from entanglement , Ph.D. thesis (2020)
2020
Later among the works it cites.
C.-H. Lin, M. Levin, and F. J. Burnell, Generalized string-net models: A thorough exposition, Phys. Rev. B 103
2021
Later among the works it cites.
K. Satzinger, Y.-J. Liu, A. Smith, C. Knapp, M. Newman, C. Jones, Z. Chen, C. Quintana, X. Mi, A. Dunsworth, et al. , Realizing topologically ordered states on a quantum processor, Science 374
2021
Later among the works it cites.
I. H. Kim, Entropy scaling law and the quantum marginal problem, Phys. Rev. X 11
2021
Later among the works it cites.
S. F. E. Oliviero, L. Leone, Y. Zhou, and A. Hamma, Stability of topological purity under random local unitaries, SciPost Phys. 12
2022
Later among the works it cites.