14 citations · 49 across the 8 of their papers we have counts for
10 papers
A polynomial-time classical sampler for noisy quantum circuits from statistical mechanics
Jon Nelson, Joel Rajakumar, Chao Yin +2
Developing classical simulation algorithms for noisy quantum circuits is essential to delineating the limits of quantum advantage. Existing classical sampling approaches for genera…
Digital Quantum Algorithms for Generating and Utilizing Spin Squeezed States
Mingru Yang, Ruby Wei, Chao Yin
Spin squeezed states (SSSs) are conventionally viewed as analog resources for quantum metrology. Here we develop algorithms to efficiently generate and exploit SSSs on a digital qu…
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…
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…
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…
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…
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…
Locality bounds for quantum dynamics at low energy
Andrew Osborne, Chao Yin, Andrew Lucas
We discuss the generic slowing down of quantum dynamics in low energy density states of spatially local Hamiltonians. Beginning with quantum walks of a single particle, we prove th…