As a variant of the original quantum teleportation, port-based teleportation has been proposed, and its various kinds of useful applications in quantum information processing have been explored. Two users in the port-based teleportation initially share an arbitrary pure state, which can be represented by applying one user's local operation to a bipartite maximally entangled state. If the maximally entangled state is a $2M$-qudit state, then it can be expressed as $M$ copies of a two-qudit maximally entangled state, where $M$ is the number of ports. We here consider a generalization of the original port-based teleportation obtained from employing copies of an arbitrary bipartite (mixed) resource instead of copies of a pure maximally entangled one. By means of the generalization, we construct a concept of controlled port-based teleportation by combining controlled teleportation with port-based teleportation, and analyze its performance in terms of several meaningful quantities such as the teleportation fidelity, the entanglement fidelity, and the fully entangled fraction. In addition, we present quantities called the control power and the minimal control power for the controlled version on a given tripartite quantum state.

中文翻译：

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基于端口的传送的一般化和受控的传送能力

作为原始量子隐形传态的一种变体，已经提出了基于端口的隐形传态，并探索了其在量子信息处理中的各种有用应用。基于端口的隐形传态的两个用户最初共享一个任意的纯状态，这可以通过将一个用户的本地操作应用于两方最大纠缠状态来表示。如果最大纠缠态是$2\mathrm{中号}$-qudit状态，则可以表示为 $\mathrm{中号}$ 两重最大纠缠态的副本，其中 $\mathrm{中号}$是端口数。我们在这里考虑通过使用任意二分（混合）资源的副本而不是纯粹最大纠缠的副本来获得的基于端口的原始隐形传态的一般化。通过归纳，我们将受控的隐形传态与基于端口的隐形传态相结合，构建了基于端口的受控传态的概念，并根据诸如隐形传态的保真度，纠缠度和完全纠缠度等几个有意义的量来分析其性能。分数。此外，我们给出了在给定的三方量子态下受控形式的称为控制能力和最小控制能力的量。