Quantum teleportation by particle-hole annihilation in the Fermi sea

Abstract

A tunnel barrier in a degenerate electron gas was recently discovered as a source of entangled particle-hole excitations. The entanglement is produced by elastic tunneling events, without requiring electron-electron interactions. Here we investigate the inverse process, the annihilation of an electron and a hole by elastic scattering. We find that this process leads to teleportation of the (unknown) state of the annihilated electron to a second, distant electron -- if the latter was previously entangled with the annihilated hole. We propose an experiment, involving low-frequency noise measurements on a two-dimensional electron gas in a high magnetic field, to detect teleportation of electrons and holes in the two lowest Landau levels.

5 pages including 2 figures; [2017: fixed broken postscript figures]

References in corpus (5)

• Experimental quantum teleportation
• An Electronic Mach-Zehnder Interferometer
• Environmental effects in the third moment of voltage fluctuations in a tunnel junction
• Orbital entanglement and violation of Bell inequalities in mesoscopic conductors
• Production and detection of entangled electron-hole pairs in a degenerate electron gas

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