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arXiv:quant-ph/9807020 · Physical Review Letters

How to Teleport Superpositions of Chiral Amplitudes

Christopher S. Maierle, Daniel A. Lidar, Robert A. Harris

Published Dec 28, 1998• 19 citations
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Abstract

Chiral molecules may exist in superpositions of left- and right-handed states. We show how the amplitudes of such superpositions may be teleported to the polarization degrees of freedom of a photon and thus measured. Two experimental schemes are proposed, one leading to perfect, the other to state-dependent teleportation. Both methods yield complete information about the amplitudes.

DOI
10.1103/physrevlett.81.5928

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Chiral molecules may exist in superpositions of left- and right-handed states. We show how the amplitudes of such superpositions may be teleported to the polarization degrees of freedom of a photon and thus measured. Two experimental schemes are proposed, one leading to perfect, the other to state-dependent teleportation. Both methods yield complete information about the amplitudes.
Chiral molecules may exist in superpositions of left- and right-handed states. We show how the amplitudes of such superpositions may be teleported to the polarization degrees of freedom of a photon. Two experimental schemes are proposed, one leading to perfect, the other to state-dependent teleportation. Both methods yield complete information about the amplitudes. This is the first explicit example of "inter-species" teleportation, where the amplitudes of the quantum superposition of one species are transferred at the end of the process to a different species. The latter is then easily accessible for measurement.
Recent demonstrations of teleportation have transferred quantum information encoded into either polarization or field-quadrature degrees of freedom (DOFs), but an outstanding question is how to simultaneously teleport quantum information encoded into multiple DOFs. We describe how the transverse-spatial, spectral and polarization states of a single photon can be simultaneously teleported using a pair of multimode, polarization-entangled photons derived from spontaneous parametric down-conversion. Furthermore, when the initial photon pair is maximally entangled in the spatial, spectral, and polarization DOFs then the photon’s full quantum state can be reliably teleported using a Bell-state measurement based on sum-frequency generation.
In this paper, we consider how parity conservation limits the type of superpositions of chiral states that can be created and detected. We also show how spontaneous emission can cause the left and right hands of the superposition to become coupled to different states of the radiation field. This coupling, aside from being an interesting effect in its own right, helps to enforce the restrictions that parity conservation places upon superpositions of chiral states. Finally, we outline an analogy that exists between aspects of this work and the Einstein, Podolsky, Rosen paradox.