5 papers · 1 filter
Spectral amplification for ground-state energy estimation of electronic structure in first quantization
Alicja Dutkiewicz, Alec F. White, Guang Hao Low +6
We demonstrate an asymptotic gate complexity improvement in first-quantized ground-state energy estimation of electronic structure Hamiltonians in a plane wave basis by employing t…
Arts & crafts: Strong random unitaries and geometric locality
Marten Folkertsma, Lorenzo Grevink, Jonas Helsen +1
We study the problem of constructing strong approximate unitary -designs on -dimensional grids (and more generally on Cartesian products of graphs), building on the work of S…
Accurate ground state energy estimation with noise and imperfect state preparation
Alicja Dutkiewicz, Thomas E. O'Brien, Stefano Polla
We introduce a classical estimator for the post-processing of quantum phase estimation (QPE) data when a single target phase is isolated within a known interval, as is typical of g…
Error mitigation and circuit division for early fault-tolerant quantum phase estimation
Alicja Dutkiewicz, Stefano Polla, Maximilian Scheurer +3
As fully fault-tolerant quantum computers capable of solving useful problems remain a distant goal, we anticipate an era of "early fault tolerance" where limited error correction i…
The advantage of quantum control in many-body Hamiltonian learning
Alicja Dutkiewicz, Thomas E. O'Brien, Thomas Schuster
We study the problem of learning the Hamiltonian of a many-body quantum system from experimental data. We show that the rate of learning depends on the amount of control available…