# Counterdiabatic control in the impulse regime

@inproceedings{Carolan2021CounterdiabaticCI, title={Counterdiabatic control in the impulse regime}, author={Eoin Carolan and Anthony Kiely and Steve Campbell}, year={2021} }

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

#### References

SHOWING 1-10 OF 51 REFERENCES

Counterdiabatic driving of the quantum Ising model

- Physics
- 2014

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 requires… Expand

Cost of counterdiabatic driving and work output

- Physics
- 2016

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 a… Expand

Adiabatic tracking of quantum many-body dynamics

- Physics
- 2014

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 assisting… Expand

Energetic cost of quantum control protocols

- Physics, Mathematics
- New Journal of Physics
- 2019

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… Expand

Minimizing irreversible losses in quantum systems by local counterdiabatic driving

- Mathematics, Medicine
- Proceedings of the National Academy of Sciences
- 2017

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.

- Physics, Medicine
- Physical review letters
- 2017

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.

- Physics, Medicine
- The Journal of chemical physics
- 2008

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.

- Physics, Economics
- Physical review letters
- 2017

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

- Physics
- New Journal of Physics
- 2019

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 fidelity… Expand

Training Schrödinger’s cat: quantum optimal control

- Physics, Computer Science
- 2015

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