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arXiv:quant-ph/0212118 · Physical Review A

Teleportation of a Bose-Einstein condensate state by controlled elastic collisions

M. C. de Oliveira

Published Feb 24, 2003• 14 citations
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Abstract

A protocol for teleportation of the state of a Bose-Einstein condensate trapped in a three-well potential is developed. The protocol uses hard-sphere cross collision between the condensate modes as a means of generating entanglement. As Bell state measurement, it is proposed that a homodyne detection of the condensate quadrature is performed through Josephson coupling of the condensate mode to another mode in a neighboring well.

DOI
10.1103/physreva.67.022307

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A protocol for teleportation of the state of a Bose-Einstein condensate trapped in a three-well potential is developed. The protocol uses hard-sphere cross collision between the condensate modes as a means of generating entanglement. As Bell state measurement, it is proposed that a homodyne detection of the condensate quadrature is performed through Josephson coupling of the condensate mode to another mode in a neighboring well.
In the present paper, a quantum teleportation protocol for split-squeezed Bose-Einstein Condensates is proposed that transfers a spin coherent state between two locations using entanglement introduced by squeezing interactions. One axis squeezing is used for this purpose, two axis anti squeezing further reduces the noise. The protocol uses continuous variable quadrature measurements that works for short interaction times in the Holstein-Primakoff approximation. The performance of the protocol is also analyzed by calculating the fidelity to show that it exceeds the classical bound.
We study the generation of two-mode entanglement in a two-component Bose-Einstein condensate trapped in a double-well potential. The dynamics of the system is shown to be equivalent to that of two coupled harmonic oscillators in the low excitation regime. Strong entanglement between the two components can be achieved if the interspecies interaction is sufficiently strong. In particular, the condensate constitutes a symmetric Gaussian system and hence its entanglement of formation can be measured directly by fluctuations in the quadratures of the two constituent components.
We propose a scheme to generate maximally entangled states of two distant Bose—Einstein condensates, which are trapped in different potential wells of a one-dimensional optical lattice. We show how such maximally entangled state can be used to test the Bell inequality and realize quantum teleportation of a Bose—Einstein condensate state. The scheme proposed here is based on the interference of Bose—Einstein condensates leaking out from different potential wells of optical lattice. It is briefly pointed out that this scheme can be extended to generate maximally entangled Greenberger—Horne—Zeilinger (GHZ) states of 2m (m > 1) distant Bose—Einstein condensates.
We propose protocols for quantum teleportation of superposed coherent states of atomic Bose—Einstein condensates. We use the photon entanglement states as the quantum channel, which makes it possible to realize the distant teleportation of atomic states. Two robust protocols are introduced: one is a single-photon scheme in which an entangled single-photon state serves as the quantum channel, and the other is a multi-photon scheme where an entangled coherent state of the probe lasers is used as the quantum channel.
Quantum transduction converts quantum states between different frequencies. Similarly, quantum teleportation transfers quantum states between different systems. While often appreciated for quantum communication between distant locations, teleportation can also operate between different frequencies. In terms of bosonic modes, quantum teleportation relies on two-mode squeezing -- squeezed on the balanced Einstein-Podolsky-Rosen (EPR) quadratures -- for entanglement and a balanced beamsplitter plus homodyne detection for Bell measurement. Since cross-frequency band entanglement is challenging to generate, we propose to enable transduction with teleportation, while only relying on a conventional transduction device and narrow-band entanglement. Our insight is that a transduction device performs a cross-frequency-band beamsplitter, almost what is needed in a Bell measurement, except that it is often not balanced. We resolve the issue by proposing a generalized teleportation protocol with arbitrarily unbalanced EPR quadratures and matched unbalanced beamsplitters. The protocol can enhance quantum transduction, using only off-the-shelf components -- intraband beamsplitters, offline squeezing, homodyne detection and displacements. The proposed protocol achieves perfect transduction when applying to a transduction device with an arbitrarily low efficiency, at infinite squeezing. A minimum squeezing in the range of [1.195,4.343] decibels is needed to achieve quantum capacity enhancement.