4 papers · 1 filter
Learning State Preparation Circuits for Quantum Phases of Matter
Hyun-Soo Kim, Isaac H. Kim, Daniel Ranard
Many-body ground state preparation is an important subroutine used in the simulation of physical systems. In this paper, we introduce a flexible and efficient framework for obtaini…
Strategies for running the QAOA at hundreds of qubits
Brandon Augustino, Madelyn Cain, Edward Farhi +5
We explore strategies aimed at reducing the amount of computation, both quantum and classical, required to run the Quantum Approximate Optimization Algorithm (QAOA). First, followi…
Classifying 2D topological phases: mapping ground states to string-nets
Isaac H. Kim, Daniel Ranard
We prove the conjectured classification of topological phases in two spatial dimensions with gappable boundary, in a simplified setting. Two gapped ground states of lattice Hamilto…
Strict area law implies commuting parent Hamiltonian
Isaac H. Kim, Ting-Chun Lin, Daniel Ranard +1
We show that in two spatial dimensions, when a quantum state has entanglement entropy obeying a strict area law, meaning for constants independe…