Continuous-variable gate decomposition for the Bose-Hubbard model

Timjan Kalajdzievski, Christian Weedbrook, and Patrick Rebentrost
Phys. Rev. A 97, 062311 – Published 7 June 2018

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.

  • Figure
  • Received 19 January 2018

DOI:https://doi.org/10.1103/PhysRevA.97.062311

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Timjan Kalajdzievski, Christian Weedbrook, and Patrick Rebentrost

  • Xanadu, 372 Richmond St W, Toronto, Canada, M5V 2L7

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Issue

Vol. 97, Iss. 6 — June 2018

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