Noise resistant quantum control using dynamical invariants

  title={Noise resistant quantum control using dynamical invariants},
  author={Amikam Levy and Anthony Kiely and Juan Gonzalo Muga and Ronnie Kosloff and E. Torrontegui},
  journal={New Journal of Physics},
A systematic approach to design robust control protocols against the influence of different types of noise is introduced. We present control schemes which protect the decay of the populations avoiding dissipation in the adiabatic and nonadiabatic regimes and minimize the effect of dephasing. The effectiveness of the protocols is demonstrated in two different systems. Firstly, we present the case of population inversion of a two-level system in the presence of either one or two simultaneous… 
Fast quantum control in dissipative systems using dissipationless solutions
This method provides the analytical expression of the extra magnetic field to be superimposed to the driving field in order to compensate the geometric distortion induced by dissipation for spin systems, and produces an exact geometric optimization of fast population transfer.
The Renewed Role of Sweep Functions in Noisy Shortcuts to Adiabaticity
It is observed that, according to the decay and dephasing channels investigated here, the performance of the system becomes highly dependent on the sweep function.
Quantum control via enhanced shortcuts to adiabaticity
Fast and robust quantum control protocols are often based on an idealised approximate description of the relevant quantum system. While this may provide a performance which is close to optimal,
General Bound on the Performance of Counter-Diabatic Driving Acting on Dissipative Spin Systems.
It is demonstrated that the error of counter-diabatic driving can be systematically reduced through optimization of the external driving protocol of the system, and if a time-dependent system-bath coupling angle is allowed, the obtained bound can be saturated and realizes unit fidelity.
Towards Generation of Cat States in Trapped Ions Set-Ups via FAQUAD Protocols and Dynamical Decoupling
This work considers trapped ions set-ups in which each spin interacts with all the others with the uniform coupling strength or with a power-law coupling and complements the adiabatic protocols with dynamical decoupling to mitigate the effects of dephasing.
Universal bound on the performance of the counter-diabatic driving on the spin-boson model
Counter-diabatic driving (CD) is a technique in quantum control theory designed to counteract nonadiabatic excitations and guide the system to follow its instantaneous energy eigenstates, and hence
Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution
A universal scheme is introduced to speed up the dynamics of a driven open quantum system along a prescribed trajectory of interest and superadiabatic cooling, heating, and isothermal strokes for a two-level system are engineer.
Quantum control with a multi-dimensional Gaussian quantum invariant
A multi-dimensional Gaussian quantum invariant is constructed that permits the design of time-dependent potentials that let the ground state of an initial potential evolve towards the groundState of a final potential.
Fast and Robust Quantum State Transfer via Optimal Transitionless Quantum Driving
For the past few years, shortcuts to adiabaticity have attracted great attention since they can avoid the necessity of slow driving for adiabatic method while inheriting the partial robustness of the


Quantum control with noisy fields: computational complexity versus sensitivity to noise
A closed quantum system is defined as completely controllable if an arbitrary unitary transformation can be executed using the available controls. In practice, control fields are a source of
Action-noise-assisted quantum control
We study the effect of action noise on state-to-state control protocols. Action noise creates dephasing in the instantaneous eigenbasis of the Hamiltonian and hampers the fidelity of the final state
Exploiting Non-Markovianity for Quantum Control
It is shown that the back-flow of amplitude and phase can be exploited to carry out quantum control tasks that could not be realized if the system was isolated, and the coupling to the environment, when harnessed with optimization techniques, allows for full SU(N) controllability.
Inhibiting unwanted transitions in population transfer in two- and three-level quantum systems
We construct fast and stable control schemes for two- and three-level quantum systems. These schemes result in an almost perfect population transfer even in the presence of an additional, unwanted
Effect of Poisson noise on adiabatic quantum control
We present a detailed derivation of the master equation describing a general time-dependent quantum system with classical Poisson white noise and outline its various properties. We discuss the
Dynamical Decoupling of Open Quantum Systems
We propose a novel dynamical method for beating decoherence and dissipation in open quantum systems. We demonstrate the possibility of filtering out the effects of unwanted (not necessarily known)
Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
Adiabatic processes are useful in quantum control, but they are slow. A way around this is to exploit shortcuts to adiabaticity, which can speed things up — for instance, by boosting stimulated Raman
Robust quantum control by a single-shot shaped pulse.
A general and versatile method allowing the derivation of smooth pulses which feature the properties of high fidelity, robustness, and low area is established.
Optimally robust shortcuts to population inversion in two-level quantum systems
We examine the stability versus different types of perturbations of recently proposed shortcuts to adiabaticity to speed up the population inversion of a two-level quantum system. We find the
Control landscapes for two-level open quantum systems
A quantum control landscape is defined as the physical objective as a function of the control variables. In this paper, the control landscapes for two-level open quantum systems, whose evolution is