7 citations · 18 across the 6 of their papers we have counts for
6 papers
The Symmetry Taco: Equivalences between Gapped, Gapless, and Mixed-State SPTs
Marvin Qi, Ramanjit Sohal, Xie Chen +2
Symmetry topological field theory (SymTFT), or topological holography, offers a unifying framework for describing quantum phases of matter and phase transitions between them. While…
Bulk Excitations of Invertible Phases
Wenjie Ji, David T. Stephen, Michael Levin +1
Recent developments in the study of topological defects highlight the importance of understanding the multi-dimensional structure of bulk excitations inside a quantum system. When…
A Classifying Space for Phases of Matrix Product States
Daniel D. Spiegel, Marvin Qi, David T. Stephen +3
We construct a topological space consisting of translation invariant injective matrix product states (MPS) of all physical and bond dimensions and show that it has th…
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…
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…