702 citations · 1.3k across the 29 of their papers we have counts for
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Undecidability of the Spectral Gap in One Dimension
Johannes Bausch, Toby Cubitt, Angelo Lucia +1
The spectral gap problem - determining whether the energy spectrum of a system has an energy gap above ground state, or if there is a continuous range of low-energy excitations - p…
Perturbation Gadgets: Arbitrary Energy Scales from a Single Strong Interaction
Johannes Bausch
In this work we propose a many-body Hamiltonian construction which introduces only a single separate energy scale of order , for a small parameter , and for …
Classifying Data with Local Hamiltonians
Johannes Bausch
The goal of this work is to define a notion of a quantum neural network to classify data, which exploits the low energy spectrum of a local Hamiltonian. As a concrete application,…
Quantum Codes from Neural Networks
Johannes Bausch, Felix Leditzky
We examine the usefulness of applying neural networks as a variational state ansatz for many-body quantum systems in the context of quantum information-processing tasks. In the neu…