Quantum Teleportation with Continuous Variables: a survey

Abstract

Very recently we have witnessed a new development of quantum information, the so-called continuous variable (CV) quantum information theory. Such a further development has been mainly due to the experimental and theoretical advantages offered by CV systems, i.e., quantum systems described by a set of observables, like position and momentum, which have a continuous spectrum of eigenvalues. According to this novel trend, quantum information protocols like quantum teleportation have been suitably extended to the CV framework. Here, we briefly review some mathematical tools relative to CV systems and we consequently develop the concepts of quantum entanglement and teleportation in the CV framework, by analogy with the qubit-based approach. Some connections between teleportation fidelity and entanglement properties of the underlying quantum channel are inspected. Next, we face the study of CV quantum teleportation networks where more users share a multipartite state and an arbitrary pair of them performs quantum teleportation. In this context, we show alternative protocols and we investigate the optimal strategy that maximizes the performance of the network.

Review article. 26 pages, 4 figures

References in corpus (5)

• Entanglement versus Correlations in Spin Systems
• Symplectic invariants, entropic measures and correlations of Gaussian states
• Unitarily localizable entanglement of Gaussian states
• Equivalence between Entanglement and the Optimal Fidelity of Continuous Variable Teleportation
• A Quantum Teleportation Game

Cited by in corpus (8)

• Entanglement in continuous variable systems: Recent advances and current perspectives
• Correlation Matrices of Two-Mode Bosonic Systems
• Quantum teleportation scheme by selecting one of multiple output ports
• Optimal fidelity of teleportation of coherent states and entanglement
• Optical state engineering, quantum communication, and robustness of entanglement promiscuity in three-mode Gaussian states
• Teleportation fidelities of squeezed states from thermodynamical state space measures
• Suitability of the approximate superposition of squeezed coherent states for various quantum protocols
• Teleportation of Continuous Quantum Variables: A New Approach