Energetic cost of quantum control protocols

Obinna Abah, Ricardo Puebla, Anthony Kiely, Gabriele De Chiara, Mauro Paternostro, Steve Campbell

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)
107 Downloads (Pure)


We quantitatively assess the energetic cost of several well-known control protocols that achieve a finite time adiabatic dynamics, namely counterdiabatic and local counterdiabatic driving, optimal control, and inverse engineering. By employing a cost measure based on the norm of the total driving Hamiltonian, we show that a hierarchy of costs emerges that is dependent on the protocol duration. As case studies we explore the Landau-Zener model, the quantum harmonic oscillator, and the Jaynes-Cummings model and establish that qualitatively similar results hold in all cases. For the analytically tractable Landau-Zener case, we further relate the effectiveness of a control protocol with the spectral features of the new driving Hamiltonians and show that in the case of counterdiabatic driving, it is possible to further minimize the cost by optimizing the ramp.

Original languageEnglish
Article number103048
Number of pages11
JournalNew Journal of Physics
Issue number10
Publication statusPublished - 28 Oct 2019


  • optimal control
  • quantum thermodynamics
  • shortcuts to adiabaticity

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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