The AKLT models on the singly decorated diamond lattice and two degree-4 planar lattices are gapped

F. D. M. Haldane, Continuum dynamics of the 1-d Heisenberg antiferromagnet: identification with the O(3) nonlinear sigma model, Phys. Lett. 93

1983

Earlier work this paper cites.

F. D. M. Haldane, Nonlinear field theory of large-spin Heisenberg antiferromagnets: semiclassically quantized solutions of the one-dimensional easy-axis Neel state, Phys. Rev. Lett. 50

1983

Earlier work this paper cites.

I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Rigorous results on valence-bond ground states in antiferromagnets, Phys. Rev. Lett. 59

1987

Earlier work this paper cites.

I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Valence Bond Ground States in Isotropic Quantum Antiferromagnets, Comm. Math. Phys. 115

1988

Earlier work this paper cites.

S. Knabe, Energy gaps and elementary excitations for certain VBS-quantum antiferromagnets, J. Stat. Phys. 52

1988

Earlier work this paper cites.

T. Kennedy, E. H. Lieb, and H. Tasaki, A two-dimensional isotropic quantum antiferromagnet with unique disordered ground state, J. Stat. Phys. 53

1988

Earlier work this paper cites.

M. Fannes, B. Nachtergaele, R.F. Werner, Finitely Correlated States on Quantum Spin Chains, Commun. Math. Phys. 144

1992

Earlier work this paper cites.

D. Gross and J. Eisert, Novel Schemes for Measurement-Based Quantum Computation, Phys. Rev. Lett. 98

2007

Earlier work this paper cites.

G. K. Brennen and A. Miyake, Measurement-Based Quantum Computer in the Gapped Ground State of a Two-Body Hamiltonian, Phys. Rev. Lett. 101

2008

Cited alongside, same era.

Z.-C. Gu, and X.-G. Wen, Tensor-entanglement-filtering renormalization approach and symmetry protected topological order Phys. Rev. B 80

2009

Cited alongside, same era.

S. A. Parameswaran, S. L. Sondhi, and D. P. Arovas, Order and disorder in AKLT antiferromagnets in three dimensions, Phys. Rev. B 79

2009

Cited alongside, same era.

T.-C. Wei, I. Affleck, and R. Raussendorf, Affleck-Kennedy-Lieb-Tasaki State on a Honeycomb Lattice is a Universal Quantum Computational Resource, Phys. Rev. Lett. 106

2011

Cited alongside, same era.

A. Miyake, Quantum computational capability of a two-dimensional valence bond solid phase, Ann. Phys. (Leipzig) 326

2011

Cited alongside, same era.

A. Garcia-Saez, V. Murg, and T.-C. Wei, Spectral gaps of Affleck-Kennedy-Lieb-Tasaki Hamiltonians using tensor network methods, Phys. Rev. B

2013

Later among the works it cites.

T.-C. Wei, P. Haghnegahdar, and R. Raussendorf, Hybrid valence-bond states for universal quantum computation, Phys. Rev. A 90

2014

Later among the works it cites.

T.-C. Wei and R. Raussendorf, Universal measurement-based quantum computation with spin-2 Affleck-Kennedy-Lieb-Tasaki states, Phys. Rev A 92

2015

Later among the works it cites.

L. Vanderstraeten, M. Mariën, F. Verstraete, and J. Haegeman, Excitations and the tangent space of projected entangled-pair states, Phys. Rev. B 92

2015

Later among the works it cites.

N. Pomata and T.-C. Wei, AKLT models on decorated square lattices are gapped, Phys. Rev. B 100

2019

Later among the works it cites.