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Trapped Ion Quantum Computing

The Energy Cost of Controlling Mesoscopic Quantum Systems

arXiv
Authors: Jordan Horowitz, Kurt Jacobs

Year

2015

Paper ID

27457

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

Abstract

We determine the minimum energy required to control the evolution of any mesoscopic quantum system in the presence of arbitrary Markovian noise processes. This result provides the mesoscopic equivalent of the fundamental cost of refrigeration, sets the minimum power consumption of mesoscopic devices that operate out of equilibrium, and allows one to calculate the efficiency of any control protocol, whether it be open-loop or feedback control. As examples we calculate the energy cost of maintaining a qubit in the ground state, the efficiency of resolved-sideband cooling of nano-mechanical resonators, and discuss the energy cost of quantum information processing.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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  • We determine the minimum energy required to control the evolution of any mesoscopic quantum system in the presence of arbitrary Markovian noise processes.

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