418 citations · 2.2k across the 78 of their papers we have counts for
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cond-mat.stat-mech2019★ 5 cited
A dynamical Toric Code model with fusion and de-fusion
Bruno Nachtergaele, Nicholas E. Sherman
We introduce a two-parameter family of perturbations of Kitaev's Toric Code Model in which the anyonic excitations acquire an interesting dynamics. We study the dynamics of this mo…
cond-mat.stat-mech2009★ 4 cited
Implementing Quantum Gates using the Ferromagnetic Spin-J XXZ Chain with Kink Boundary Conditions
Tom Michoel, Jaideep Mulherkar, Bruno Nachtergaele
We demonstrate an implementation scheme for constructing quantum gates using unitary evolutions of the one-dimensional spin-J ferromagnetic XXZ chain. We present numerical results…
cond-mat.stat-mech1997★ 1 cited
The complete set of ground states of the ferromagnetic XXZ chains
Tohru Koma, Bruno Nachtergaele
We show that the well-known translation invariant ground states and the recently discovered kink and antikink ground states are the complete set of pure infinite-volume ground stat…