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

Autor: Ahmadi, Mehdi, Lorek, Krzysztof, Chęcińska, Agata, Smith, Alexander R. H., Mann, Robert B., Dragan, Andrzej
Rok vydání: 2016
Předmět:
Zdroj: Phys. Rev. D 93, 124031 (2016)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.93.124031
Popis: 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.
Comment: 21 pages, 13 figures. A few typos corrected
Databáze: arXiv