Disembodiment of arbitrary number of properties in quantum Cheshire cat experiment

TL;DR

This paper extends the quantum Cheshire cat concept to demonstrate disembodiment of multiple properties in quantum systems, proposing experimental setups with neutrons and photons to test these phenomena.

Contribution

It introduces variants of the quantum Cheshire cat effect with multiple property disembodiments and extends the concept to multi-level quantum systems.

Findings

Disembodiment of two properties demonstrated in interferometer setups.

Extension of the scheme to three-qutrit and d-qudit systems.

Proposed experimental tests using neutron and photon degrees of freedom.

Abstract

The quantum Cheshire cat is an effect demonstrated within the framework of weak measurement aided with post-selection scenario where the property (say, grin) of a quantum particle (the cat) can be found in a spatially separated location from its position. In this work, we first propose interesting variants of quantum Cheshire cat where disembodiment of two different properties of a `cat' is demonstrated, so that, the \emph{grin} and the \emph{meowing} of it can be found in two different paths on an interferometer while the cat is in another path. We further extend this proposal for three-qutrit and $d$-qudit systems of a single particle. We provide sketches of the experimental proposals for testing our scheme by using the path, spin and energy degrees of freedoms of a single neutron and the path, polarization and orbital angular momentum of a single photon.