734 citations · 6k across the 61 of their papers we have counts for
4 papers · 2 filters
Classification of translation invariant topological Pauli stabilizer codes for prime dimensional qudits on two-dimensional lattices
Jeongwan Haah
We prove that on any two-dimensional lattice of qudits of a prime dimension, every translation invariant Pauli stabilizer group with local generators and with code distance being t…
Nontrivial Quantum Cellular Automata in Higher Dimensions
Jeongwan Haah, Lukasz Fidkowski, Matthew B. Hastings
We construct a three-dimensional quantum cellular automaton (QCA), an automorphism of the local operator algebra on a lattice of qubits, which disentangles the ground state of the…
Product Decomposition of Periodic Functions in Quantum Signal Processing
Jeongwan Haah
We consider an algorithm to approximate complex-valued periodic functions as a matrix element of a product of -valued functions, which underlies so-called quantu…
Quantum algorithm for simulating real time evolution of lattice Hamiltonians
Jeongwan Haah, Matthew B. Hastings, Robin Kothari +1
We study the problem of simulating the time evolution of a lattice Hamiltonian, where the qubits are laid out on a lattice and the Hamiltonian only includes geometrically local int…