Continuous-variable gate decomposition for the Bose-Hubbard model

TL;DR

This paper presents a method to decompose the Bose-Hubbard model's time-evolution into a sequence of logic gates suitable for continuous-variable photonic quantum computers, analyzing circuit structure and gate count.

Contribution

It introduces a novel gate decomposition approach for the Bose-Hubbard model tailored for continuous-variable quantum computing, including extensions with dipole interactions.

Findings

Circuit structure analyzed for 1D and 2D lattices

Gate count as a function of lattice size provided

Inclusion of dipole interaction circuit detailed

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.