Équipe de Recherche en Physique de l'Information Quantique


Abstract = {We present two techniques that can greatly reduce the number of gates required for ground state preparation in quantum simulations. The first technique realizes that to prepare the ground state of some Hamiltonian, it is not necessary to implement the time-evolution operator: any unitary operator which is a function of the Hamiltonian will do. We propose one such unitary operator which can be implemented exactly, circumventing any Taylor or Trotter approximation errors. The second technique is tailored to lattice models, and is targeted at reducing the use of generic single-qubit rotations, which are very expensive to produce by distillation and synthesis fault-tolerantly. In particular, the number of generic single-qubit rotations used by our method scales with the number of parameters in the Hamiltonian, which contrasts with a growth proportional to the lattice site required by other techniques.},
Author = {David Poulin and Alexei Kitaev and Damian S. Steiger and Matthew B. Hastings and Matthias Troyer },
Eprint = {arXiv:1711.11025},
Title = {Fast Quantum Algorithm for Spectral Properties},
Year = {2017},