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Fusion of Low-Entanglement Excitations in 2D Toric Code
Jing-Yu Zhao, Xie Chen
On top of a -dimensional gapped bulk state, Low Entanglement Excitations (LEE) on ()-dimensional sub-manifolds can have extensive energy but preserves the entanglement ar…
Duality via Sequential Quantum Circuit in the Topological Holography Formalism
Robijn Vanhove, Vibhu Ravindran, David T. Stephen +2
Two quantum theories which look different but are secretly describing the same low-energy physics are said to be dual to each other. When realized in the Topological Holography for…
Topological defects of 2+1D systems from line excitations in 3+1D bulk
Wenjie Ji, Xie Chen
The bulk-boundary correspondence of topological phases suggests strong connections between the topological features in a d+1-dimensional bulk and the potentially gapless theory on…
Fusion of one-dimensional gapped phases and their domain walls
David T. Stephen, Xie Chen
Finite depth quantum circuits provide an equivalence relation between gapped phases. Moreover, there can be nontrivial domain walls either within the same gapped phase or between d…
Sequential Adiabatic Generation of Chiral Topological States
Xie Chen, Michael Hermele, David T. Stephen
In previous work, it was shown that non-trivial gapped states can be generated from a product state using a sequential quantum circuit. Explicit circuit constructions were given fo…