7 papers
Robust symmetry breaking in gapless quantum magnets
Chao Yin, Andrew Lucas
We prove the existence of spontaneous symmetry breaking in suitably low-energy eigenstates of certain gapless and frustrated many-body quantum systems, namely symmetric quantum per…
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…
Theory of metastable states in many-body quantum systems
Chao Yin, Federica M. Surace, Andrew Lucas
We present a mathematical theory of metastable pure states in closed many-body quantum systems with finite-dimensional Hilbert space. Given a Hamiltonian, a pure state is defined t…
Eigenstate localization in a many-body quantum system
Chao Yin, Rahul Nandkishore, Andrew Lucas
We prove the existence of extensive many-body Hamiltonians with few-body interactions and a many-body mobility edge: all eigenstates below a nonzero energy density are localized in…