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arXiv · 1602.02349

Effect of relativistic acceleration on localized two-mode Gaussian quantum states

Mehdi Ahmadi·Krzysztof Lorek·Agata Chęcińska·Alexander R. H. Smith·Robert B. Mann·Andrzej Dragan
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Abstract

We study how an arbitrary Gaussian state of two localized wave packets, prepared in an inertial frame of reference, is described by a pair of uniformly accelerated observers. We explicitly compute the resulting state for arbitrarily chosen proper accelerations of the observers and independently tuned distance between them. To do so, we introduce a generalized Rindler frame of reference and analytically derive the corresponding state transformation as a Gaussian channel. Our approach provides several new insights into the phenomenon of vacuum entanglement such as the highly non-trivial effect of spatial separation between the observers including sudden death of entanglement. We also calculate the fidelity of the two-mode channel for non-vacuum Gaussian states and obtain bounds on classical and quantum capacities of a single-mode channel. Our framework can be directly applied to any continuous variable quantum information protocol in which the effects of acceleration or gravity cannot be neglected.

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Mehdi Ahmadi, Krzysztof Lorek, Agata Chęcińska, Alexander R. H. Smith, Robert B. Mann, Andrzej Dragan. 2016-11-21. Effect of relativistic acceleration on localized two-mode Gaussian quantum states. https://doi.org/10.1103/physrevd.93.124031

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