Corpus ID: 237581527

Counterdiabatic control in the impulse regime

  title={Counterdiabatic control in the impulse regime},
  author={Eoin Carolan and Anthony Kiely and Steve Campbell},
Coherent control of complex many-body systems is critical to the development of useful quantum devices. Fast perfect state transfer can be exactly achieved through additional counterdiabatic fields. We show that the additional energetic overhead associated with implementing counterdiabatic driving can be reduced while still maintaining high target state fidelities. This is achieved by implementing control fields only during the impulse regime, as identified by the Kibble-Zurek mechanism. We… Expand

Figures from this paper


Counterdiabatic driving of the quantum Ising model
A system undergoes adiabatic evolution when its population in the instantaneous eigenbasis of its time-dependent Hamiltonian changes only negligibly. The realization of such dynamics requiresExpand
Cost of counterdiabatic driving and work output
Unitary processes allow for the transfer of work to and from Hamiltonian systems. However, to achieve nonzero power for the practical extraction of work, these processes must be performed within aExpand
Adiabatic tracking of quantum many-body dynamics
The nonadiabatic dynamics of a many-body system driven through a quantum critical point can be controlled using counterdiabatic driving, where the formation of excitations is suppressed by assistingExpand
Energetic cost of quantum control protocols
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, optimalExpand
Minimizing irreversible losses in quantum systems by local counterdiabatic driving
A simple variational approach allowing one to find the best possible counterdiabatic protocols given physical constraints, like locality is developed, which shows that, using these approximate protocols, one can drastically suppress heating and increase fidelity of quantum annealing protocols in complex many-particle systems. Expand
Universal Work Fluctuations During Shortcuts to Adiabaticity by Counterdiabatic Driving.
A fundamental inequality is derived that relates nonequilibrium work fluctuations to the operation time and quantifies the thermodynamic cost of CD in both critical and noncritical systems. Expand
On the consistency, extremal, and global properties of counterdiabatic fields.
An analysis of properties of counterdiabatic fields (CDFs) that restore the adiabatic dynamics of a system by suppressing diabatic effects as they are generated are reported. Expand
Trade-Off Between Speed and Cost in Shortcuts to Adiabaticity.
The speed with which a quantum system can be driven when employing transitionless quantum driving is studied to establish a rigorous link between this speed, the quantum speed limit, and the (energetic) cost of implementing such a shortcut to adiabaticity. Expand
Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing
We present a coherent counter-diabatic quantum protocol to prepare ground states in the lattice gauge mapping of all-to-all Ising models (LHZ) with considerably enhanced final ground state fidelityExpand
Training Schrödinger’s cat: quantum optimal control
In this communication, state-of-the-art quantum control techniques are reviewed and put into perspective by a consortium of experts in optimal control theory and applications to spectroscopy, imaging, as well as quantum dynamics of closed and open systems. Expand