Teleportation of Post-Selected Quantum States

Abstract

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 $post$-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 $port$-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.

8 pages, 7 figures, updated version accepted for publication in Quantum

References in corpus (9)

• Experimental quantum teleportation
• Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
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• Multiport based teleportation -- transmission of a large amount of quantum information
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Cited by in corpus (2)

• Iterative construction of ${\mathfrak{S}}_p\times {\mathfrak{S}}_p$ group-adapted irreducible matrix units for the walled Brauer algebra
• A resource theory of asynchronous quantum information processing