Continuous-variable quantum teleportation with vacuum-entangled Rindler modes

Abstract

We consider a continuous-variable quantum teleportation protocol between a uniformly accelerated sender in the right Rindler wedge, a conformal receiver restricted to the future light cone, and an inertial observer in the Minkowski vacuum. Using a non-perturbative quantum circuit model, the accelerated observer interacts unitarily with the Rindler modes of the field, thereby accessing entanglement of the vacuum as a resource. We find that a Rindler-displaced Minkowski vacuum state prepared and teleported by the accelerated observer appears mixed according to the inertial observer, despite a reduction of the quadrature variances below classical limits. This is a surprising result, since the same state transmitted directly from the accelerated observer appears as a pure coherent state to the inertial observer. The decoherence of the state is caused by an interplay of opposing effects as the acceleration increases: the reduction of vacuum noise in the output state for a stronger entanglement resource, constrained by the amplification of thermal noise due to the presence of Unruh radiation.

Corrected typos and higher resolution figures. Close to published version

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Cited by in corpus (9)

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• Generating multi-partite entanglement from the quantum vacuum with a finite-lifetime mirror
• Schwinger effect and a uniformly accelerated observer
• Direct Characteristic-Function Tomography of the Quantum States of Quantum Fields
• Superpositions of thermalisations in relativistic quantum field theory
• Telefilters, telemirrors, and causality
• Entangled vacuum state for accelerated observers
• N-Photon Emission from Uniform Acceleration
• Quantum teleportation in expanding FRW universe