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Modern Physics Letters B

Teleporting the Schrödinger Cat State

M. H. Y. Moussa, B. Baseia

Published Dec 30, 1998• 7 citations
Publisher

Abstract

We present a scheme for the teleportation of a coherent state or a mesoscopic superposition of coherent states — the Schrödinger-cat state. The proposal involves a mesoscopic-correlated state as the quantum channel which is generated through an adaptation of a quantum switch scheme. The required joint measurement performed in a mesoscopic Bell basis is accomplished through a technique for detection of a Schrödinger-cat state "trapped" in a cavity.

DOI
10.1142/s0217984998001438

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We present a scheme for the teleportation of a coherent state or a mesoscopic superposition of coherent states — the Schrödinger-cat state. The proposal involves a mesoscopic-correlated state as the quantum channel which is generated through an adaptation of a quantum switch scheme. The required joint measurement performed in a mesoscopic Bell basis is accomplished through a technique for detection of a Schrödinger-cat state "trapped" in a cavity.
We present a scheme to realize a photon switch for controlling the state of the field in a cavity between a coherent state and a Schrödinger cat state. In the scheme, an atom crosses two cavities continually. The atom is resonant with the first cavity mode, and off-resonant with the second cavity mode. The detection of the atomic state leaves the two cavity modes in an entangled state. We can determine whether the second cavity field is in a coherent state or in a Schrödinger cat state via the detection of the photon in the first cavity.
A "Schrodinger cat"-like state of matter was generated at the single atom level. A trapped 9Be+ ion was laser-cooled to the zero-point energy and then prepared in a superposition of spatially separated coherent harmonic oscillator states. This state was created by application of a sequence of laser pulses, which entangles internal (electronic) and external (motional) states of the ion. The Schrodinger cat superposition was verified by detection of the quantum mechanical interference between the localized wave packets. This mesoscopic system may provide insight into the fuzzy boundary between the classical and quantum worlds by allowing controlled studies of quantum measurement and quantum decoherence.
A scheme is proposed for the generation of superpositions of multi-mode coherent states, i.e. multi-mode Schrödinger cat states. In the scheme a -type three-level atom is sent through many cavities filled with coherent fields. The whole system is entangled via the Raman atom-field interaction. Then the detection of the atom leaves the cavity system in a multi-mode cat state. Under certain conditions, such a cat state is identical to a Greenberger-Horne-Zeilinger state and thus can be used to test local realistic theories.
We present a scheme of atomic-state teleportation by using a quantum switch (QS). Based on the principle of QS and the quantum interference effect, a controlled-NOT operation between atom and cavity is proposed and used to transform the joint measurement of the von Neumann type into the discrete measurements. A detection method using several atoms resonantly interacting with field state is also presented to read out the field state in a cavity. The fidelity due to cavity dissipation is discussed. In our scheme, since the transfer of quantum information between atom and cavity is achieved by nonresonant atom-cavity interaction, three-bit classical information is transmitted from Alice to Bob to complete teleportation.