Asymmetric quantum channel for quantum teleportation

Abstract

There are a few obstacles, which bring about imperfect quantum teleportation of a continuous variable state, such as unavailability of maximally entangled two-mode squeezed states, inefficient detection and imperfect unitary transformation at the receiving station. We show that all those obstacles can be understood by a combination of an {\it asymmetrically-decohered} quantum channel and perfect apparatuses for other operations. For the asymmetrically-decohered quantum channel, we find some counter-intuitive results; one is that teleportation does not necessarily get better as the channel is initially squeezed more and another is when one branch of the quantum channel is unavoidably subject to some imperfect operations, blindly making the other branch as clean as possible may not result in the best teleportation result. We find the optimum strategy to teleport an unknown field for a given environment or for a given initial squeezing of the channel.

4pages, 1figure

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• Self-consistent non-Markovian theory of a quantum state evolution for quantum information processing
• Optimal fidelity of teleportation of coherent states and entanglement
• Completely-Positive Non-Markovian Decoherence
• Optical state engineering, quantum communication, and robustness of entanglement promiscuity in three-mode Gaussian states
• Loss asymmetries in quantum travelling wave parametric amplifiers