Boson Sampling for Generalized Bosons

• URL: http://arxiv.org/abs/2204.08389v2
• Date: Mon, 2 May 2022 13:44:05 GMT
• Title: Boson Sampling for Generalized Bosons
• Authors: En-Jui Kuo, Yijia Xu, Dominik Hangleiter, Andrey Grankin, and Mohammad Hafezi
• Abstract summary: Examples of "generalized bosons" include boson pairs and spins. We propose implementations of generalized boson sampling in circuit-QED and ion-trap platforms.
• Score: 0.7698863100388946
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce the notion of "generalized bosons" whose exchange statistics resemble those of bosons, but the local bosonic commutator $[a_i,a_i^\dagger]=1$ 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.

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