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Quantum Information and Computation     ISSN: 1533-7146      published since 2001
Vol.16 No.9&10  July 2016

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

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