Teleportation allows Alice to send a pre-prepared quantum state to Bob using only pre-shared entanglement and classical communication. Here we show that it is possible to teleport a state which is also $\it{post}$-selected. Post-selection of a state $\Phi$ means that after Alice has finished her experiment she performs a measurement and only keeps runs of the experiment where the measurement outcome is $\Phi$. We also demonstrate pre and post-selected $\it{port}$-based teleportation. Finally we use these protocols to perform instantaneous non-local quantum computation on pre and post-selected systems, and significantly reduce the entanglement required to instantaneously measure an arbitrary non-local variable of spatially separated pre and post-selected systems.

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后选择量子态的隐形传输

隐形传输允许爱丽丝仅使用预先共享的纠缠和经典通信将预先准备好的量子态发送给鲍勃。在这里，我们展示了可以传送一个同样被 $\it{post}$ 选择的状态。状态 $\Phi$ 的后选择意味着 Alice 完成实验后，她执行测量，并且仅保留测量结果为 $\Phi$ 的实验运行。我们还演示了基于预选和后选 $\it{port}$ 的隐形传态。最后，我们使用这些协议在预选和后选系统上执行瞬时非局部量子计算，并显着减少瞬时测量空间分离的预选和后选系统的任意非局部变量所需的纠缠。