Teleporting Grin of a Quantum Chesire Cat without cat

TL;DR

This paper proposes a novel quantum teleportation protocol that transfers a photon's polarization state without the photon itself being present, challenging traditional notions of quantum properties and entanglement.

Contribution

It introduces a disembodied teleportation method based on the Quantum Cheshire Cat phenomenon, enabling polarization transfer without the physical photon.

Findings

Successful teleportation of polarization without the photon

Demonstrates properties of quantum systems can be decoupled from physical particles

Raises questions about the nature of quantum properties and identity

Abstract

Quantum Chesire Cat is a counterintuitive phenomenon that provides a new window into the nature of the quantum systems in relation to multiple degrees of freedom associated with a single physical entity. Under suitable pre and postselections, a photon (the cat) can be decoupled from its circular polarization (its grin). In this paper, we explore whether the grin without the cat can be teleported to a distant location. This will be a totally disembodied teleportation protocol. Based on the original Quantum Chesire Cat setup, we design a protocol where the circular polarization is successfully teleported between two spatially separated parties even when the photon is not physically present with them. The process raises questions in our understanding about properties of quantum system. In particular it shows that question like ``whose polarization is it'' can prove to be vacuous in such scenario.