论文标题
广义玻色子的玻色子采样
Boson Sampling for Generalized Bosons
论文作者
论文摘要
我们介绍了“广义玻色子”的概念，其交换统计数据类似于玻色子的统计数据，但是本地的骨换向器$ [a_i，a_i^\ dagger] = 1 $被任意的单模式操作员取代，该单模式在广义上是斜的。广义玻色子的例子包括玻色子对和旋转。我们考虑了这些颗粒的玻色子采样任务的类似物，并观察到其输出概率仍然由永久物给出，因此有关采样硬度的结果直接延续了。最后，我们建议在电路和离子陷阱平台中实施广义玻色子采样。
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.
