14 citations · 48 across the 11 of their papers we have counts for
6 papers · 1 filter
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…
Stochastic theory of nonlinear electrical circuits in thermal equilibrium
Andrew Osborne, Andrew Lucas
We revisit the theory of dissipative mechanics in RLC circuits, allowing for circuit elements to have nonlinear constitutive relations, and for the circuit to have arbitrary topolo…
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…
Flux-charge symmetric theory of superconducting circuits
Andrew Osborne, Andrew Lucas
The quantum mechanics of superconducting circuits is derived by starting from a classical Hamiltonian dynamical system describing a dissipationless circuit, usually made of capacit…