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Exploiting Non-Markovianity for Quantum Control.

Daniel M Reich1, Nadav Katz2, Christiane P Koch1

  • 1Theoretische Physik, Universität Kassel, Heinrich-Plett-Str. 40, D-34132 Kassel, Germany.

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Harnessing environmental interactions in non-Markovian quantum systems enables advanced quantum control. This research shows how exploiting back-flow of quantum information can achieve full SU(N) controllability, overcoming limitations of isolated systems.

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Area of Science:

  • Quantum Information Science
  • Quantum Control
  • Open Quantum Systems

Background:

  • Quantum control is essential for quantum technologies, relying on precise manipulation of quantum systems.
  • Environmental interactions typically degrade quantum control by causing amplitude and phase loss.
  • Non-Markovian dynamics allow for information flow back from the environment to the system.

Purpose of the Study:

  • To investigate the potential of exploiting non-Markovian environmental back-flow for quantum control.
  • To demonstrate that environmental coupling can enhance, rather than hinder, quantum control capabilities.
  • To achieve full SU(N) controllability in a quantum system.

Main Methods:

  • Studied open quantum systems with non-Markovian dynamics.
  • Utilized a paradigmatic model of a weakly anharmonic ladder with resonant amplitude control.
  • Employed optimization techniques to harness environmental coupling via strongly coupled environmental modes.

Main Results:

  • Showed that the back-flow of amplitude and phase from the environment can be beneficially exploited.
  • Demonstrated that environmental interaction, when controlled, enables quantum control tasks not possible in isolation.
  • Achieved full SU(N) controllability, expanding beyond the SO(N) limit of isolated systems.

Conclusions:

  • Environmental interactions in non-Markovian systems are not inherently detrimental and can be leveraged for enhanced quantum control.
  • Harnessing the back-flow of quantum information through engineered environmental coupling is a viable strategy for advanced quantum control.
  • This approach significantly broadens the scope of achievable quantum operations, paving the way for more robust quantum technologies.