14 citations · 48 across the 11 of their papers we have counts for
12 papers
Sample-efficient learning with Dense Associative Memories
Andrew Lucas, Dmitry Krotov
We analytically study the evolution of the energy function of Dense Associative Memories (DenseAMs) as they train on randomly sampled codewords of random expander low-density parit…
Preparing approximate -fold cat states with the phase space instruction set
Shuyan Zhou, Andrew Lucas
The phase space instruction set is a continuous-variable universal gate set involving single-qubit rotations and qubit-dependent displacements on a single boson. Using these gates,…
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…
Quantum Routing and Entanglement Dynamics Through Bottlenecks
Dhruv Devulapalli, Chao Yin, Andrew Y. Guo +4
To implement arbitrary quantum circuits in architectures with restricted interactions, one may effectively simulate all-to-all connectivity by routing quantum information. We consi…
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…
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…
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…