4 papers · 1 filter
Lieb-Robinson bounds with exponential-in-volume tails
Ben T. McDonough, Chao Yin, Andrew Lucas +1
Lieb-Robinson bounds demonstrate the emergence of locality in many-body quantum systems. Intuitively, Lieb-Robinson bounds state that with local or exponentially decaying interacti…
Low-density parity-check codes as stable phases of quantum matter
Chao Yin, Andrew Lucas
Phases of matter with robust ground-state degeneracy, such as the quantum toric code, are known to be capable of robust quantum information storage. Here, we address the converse q…
Fast and Accurate Greenberger-Horne-Zeilinger Encoding Using All-to-all Interactions
Chao Yin
The -qubit Greenberger-Horne-Zeilinger (GHZ) state is an important resource for quantum technologies. We consider the task of GHZ encoding using all-to-all interactions, which p…
Frobenius light cone and the shift unitary
Chao Yin, Andrew Lucas, David T. Stephen
We bound the time necessary to implement the shift unitary on a one-dimensional ring, both using local Hamiltonians and those with power-law interactions. This time is constrained…