Theoretical Analysis of an Ideal Noiseless Linear Amplifier for Einstein-Podolsky-Rosen Entanglement Distillation

Abstract

We study the operational regime of a noiseless linear amplifier based on quantum scissors that can nondeterministically amplify the one photon component of a quantum state with weak excitation. It has been shown that an arbitrarily large quantum state can be amplified by first splitting it into weak excitation states using a network of beamsplitters. The output states of the network can then be coherently recombined. In this paper, we analyse the performance of such a device for distilling entanglement after transmission through a lossy quantum channel, and look at two measures to determine the efficacy of the noiseless linear amplifier. The measures used are the amount of entanglement achievable and the final purity of the output amplified entangled state. We study the performances of both a single and a two-element noiseless linear amplifier for amplifying weakly excited states. Practically, we show that it may be advantageous to work with a limited number of stages.

arXiv comment10 pages, 11 figures

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• Continuous-variable quantum repeater based on quantum scissors and mode multiplexing
• Noiseless Linear Amplifiers in Entanglement-Based Continuous-Variable Quantum Key Distribution
• Teleportation-based noiseless quantum amplification of coherent states of light
• Long-distance continuous-variable quantum key distribution with feasible physical noiseless linear amplifiers
• Quantum communications in continuous variable systems