The Unruh effect interpreted as a quantum noise channel (pp0757-0770)
S. Omkar, R.
Srikanth, Subhashish Banerjee, and Ashutosh Kumar Alok
doi:
https://doi.org/10.26421/QIC16.9-10-2
Abstracts:
We make use of the tools of quantum information theory to
shed light on the Unruh effect. A modal qubit appears as if subjected to
quantum noise that degrades quantum information, as observed in the
accelerated reference frame. The Unruh effect experienced by a mode of a
free Dirac field, as seen by a relativistically accelerated observer, is
treated as a noise channel, which we term the Unruh channel. We
characterize this channel by providing its operator-sum representation,
and study various facets of quantum correlations, such as, Bell
inequality violations, entanglement, teleportation and
measurement-induced decoherence under the effect. We compare and
contrast this channel from conventional noise due to environmental
decoherence. We show that the Unruh effect produces an
amplitude-damping-like channel, associated with zero temperature, even
though the Unruh effect is associated with a non-zero temperature.
Asymptotically, the Bloch sphere subjected to the channel does not
converge to a point, as would be expected by fluctuation-dissipation
arguments, but contracts by a finite factor. We construct for the Unruh
effect the inverse channel, a non-completely-positive map, that formally
reverses the effect, and offer some physical interpretation.
Key words:
Unruh effect, quantum correlations, quantum noise,
amplitude damping channel |