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Journal of Modern Optics

Quantum state transfer in a quantum network: A quantum-optical implementation

S. J. van Enk, J. I. Cirac, P. Zoller, Harry J. Kimble, Hideo Mabuchi

Published Oct 1, 1997• 23 citations
Publisher

Abstract

We propose a scheme to utilize photons for ideal quantum transmission between atoms located at spatially separated nodes of a quantum network. We also propose a method to correct errors during transmission.
DOI
10.1080/09500349708231842

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We propose a scheme to utilize photons for ideal quantum transmission between atoms located at spatially separated nodes of a quantum network. The transmission protocol employs special laser pulses that excite an atom inside an optical cavity at the sending node so that its state is mapped into a time-symmetric photon wave packet that will enter a cavity at the receiving node and be absorbed by an atom there with unit probability. Implementation of our scheme would enable reliable transfer or sharing of entanglement among spatially distant atoms.
Quantum networks for the processing and distribution of quantum information could consist of quantum “nodes” for the manipulation and storage of quantum information, with these nodes linked by quantum “channels” for the transmission of quantum states. The leading proposal for the realization of such networks utilizes atoms within optical cavities as the “nodes.” Conversion of internal atomic state information into optical photons that propagate from one cavity to another forms the basis for the “channels.” Unfortunately, even in terms of laboratory “proof-of-principle” demonstrations, technical capabilities are far short of those required to implement such quantum networks. However, along the road to these ends, there lies a rich set of scientific problems that are the subject of this paper, including nonlinear optics with single atoms and photons, trapping of individual atoms within high finesse optical cavities, and teleportation of quantum states.
We consider two memory nodes of a quantum network connected by flying qubits. We are particularly interested in the case where a flying qubit produced by one node has to be transformed before it can interface efficiently with the next node. Such transformations can be utilized as a key part of the distribution of quantum states and hence entanglement between the nodes of a hybrid quantum network linking together different quantum technologies. We show how and why the probability of interfacing successfully is determined by the overlap of the spectral shape of the actual flying qubit and the ideal shape. This allows us to analytically and numerically analyze how the probability of success is impacted by realistic errors, and show the utility of our scheme (in consonance with known error correction methods) in connecting hybrid nodes of a quantum network. We focus here on a concrete implementation in which the memory nodes consist of three-level atoms in cavities and the flying qubits are photons.