Physical Review Research (Nov 2022)

Boson sampling for generalized bosons

  • En-Jui Kuo,
  • Yijia Xu,
  • Dominik Hangleiter,
  • Andrey Grankin,
  • Mohammad Hafezi

DOI
https://doi.org/10.1103/PhysRevResearch.4.043096
Journal volume & issue
Vol. 4, no. 4
p. 043096

Abstract

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We introduce the notion of “generalized bosons” whose exchange statistics resemble those of bosons, but the local bosonic commutator [a,a^{†}]=1 is replaced by an arbitrary single-mode operator that is diagonal in the generalized Fock basis. Examples of generalized bosons include boson pairs and spins. We consider the analog of the boson sampling task for these particles and observe that its output probabilities are still given by permanents, so that the results regarding hardness of sampling directly carry over. Finally, we propose implementations of generalized boson sampling in circuit-QED and ion-trap platforms.