Boson Sampling for Generalized Bosons

TitleBoson Sampling for Generalized Bosons
Publication TypeJournal Article
Year of Publication2022
AuthorsKuo, E-J, Xu, Y, Hangleiter, D, Grankin, A, Hafezi, M
Date Published5/2/2022

We introduce the notion of "generalized bosons" whose exchange statistics resemble those of bosons, but the local bosonic commutator [ai,a†i]=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 analogue 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.