Control of open quantum systems: case study of the central spin model

Christian Arenz*, Giulia Gualdi, Daniel Burgarth

*Corresponding author for this work

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We study the controllability of a central spin guided by a classical field and interacting with a spin bath and show that the central spin is fully controllable independently of the number of bath spins. Additionally we find that for unequal system-bath couplings even the bath becomes controllable by acting on the central spin alone. We then analyze numerically how the time to implement gates on the central spin scales with the number of bath spins and conjecture that for equal system-bath couplings it reaches a saturation value. We provide evidence that sometimes noise can be effectively suppressed through control.

Original languageEnglish
Article number065023
Number of pages20
JournalNew Journal of Physics
Publication statusPublished - 26 Jun 2014


  • quantum control
  • open quantum systems
  • spin bath


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