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“Superluminal” transmission via entanglement, superoscillations, and quasi-Dirac distributions

2009/12/09 by D. Sokolovski, R. Sala Mayato · 15 citations
Computer Science · Mathematics · Physics and Astronomy · #Amplitude #Degrees of freedom (physics and chemistry) #Dirac (video compression format) #Dirac delta function #Geometry #Mathematics #Physics #Plane (geometry) #Pulse (music) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum optics and atomic interactions #Quantum tunnelling #Spin (aerodynamics) #Superluminal motion #Telecommunications #Transmission (telecommunications) #Transmission coefficient #quant-ph

paper · pdf · doi:10.1103/physreva.81.022105

published in Physical Review A 81(2) (American Physical Society)

arxiv created 2009/12/09 · openalex publication_date 2010/02/05 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We analyze a system in which, due to entanglement between the spin and spatial degrees of freedom, the reduced transmitted state has the shape of the freely propagating pulse translated in the complex coordinate plane. In the case an apparently ``superluminal'' advancement of the pulse, the delay amplitude distribution is found to be a peculiar approximation to the Dirac \ensuremathδ function, and the transmission coefficient exhibits a well-defined superoscillatory window. Analogies with potential tunneling and Wheeler's delayed choice experiment are highlighted.

Citations