English

Continuous-variable gate decomposition for the Bose-Hubbard model

Quantum Physics 2020-03-17 v3

Abstract

In this work, we decompose the time-evolution of the Bose-Hubbard model into a sequence of logic gates that can be implemented on a continuous-variable photonic quantum computer. We examine the structure of the circuit that represents this time-evolution for one-dimensional and two-dimensional lattices. The elementary gates needed for the implementation are counted as a function of lattice size. We also include the contribution of the leading dipole interaction term which may be added to the Hamiltonian, and its corresponding circuit.

Keywords

Cite

@article{arxiv.1801.06565,
  title  = {Continuous-variable gate decomposition for the Bose-Hubbard model},
  author = {Timjan Kalajdzievski and Christian Weedbrook and Patrick Rebentrost},
  journal= {arXiv preprint arXiv:1801.06565},
  year   = {2020}
}

Comments

11 pages, 1 Figures

R2 v1 2026-06-22T23:50:23.618Z