Quantum control of entanglement in coupled spins using shortcuts to adiabaticity and optimal control

Dionisis Stefanatos; Nikos Iliopoulos; Vasilos Karanikolas; Emmanuel Paspalakis

doi:10.1117/12.2520674

30 April 2019 Quantum control of entanglement in coupled spins using shortcuts to adiabaticity and optimal control

Dionisis Stefanatos, Nikos Iliopoulos, Vasilos Karanikolas, Emmanuel Paspalakis

Proceedings Volume 11027, Quantum Optics and Photon Counting 2019; 110270O (2019) https://doi.org/10.1117/12.2520674
Event: SPIE Optics + Optoelectronics, 2019, Prague, Czech Republic

Abstract

We consider a pair of coupled spins with Ising interaction in z-direction and study the problem of generating efficiently the triplet Bell state. We initially analyze the transitionless quantum driving shortcut to adiabaticity method and point out its limitations when the available duration approaches zero. In this short time limit we explicitly calculate the fidelity of the method and find it to be much lower than unity, no matter how large the available control fields become. We find that there is a lower bound on the necessary time to complete this transfer, set by the finite value of the interaction between the spins. We then use numerical optimal control to find bang-bang pulse sequences, as well as, smooth controls, which can generate high levels of the target Bell state in the minimum possible time. Finally, we explain how this method can be adapted for the efficient generation of general quantum entanglement in the system. The results of the present work are not restricted only to spin systems, but is expected to find also applications in other physical systems which can be modeled as interacting spins, such as, for example, coupled quantum dots.

Citation Download Citation

Dionisis Stefanatos, Nikos Iliopoulos, Vasilos Karanikolas, and Emmanuel Paspalakis "Quantum control of entanglement in coupled spins using shortcuts to adiabaticity and optimal control", Proc. SPIE 11027, Quantum Optics and Photon Counting 2019, 110270O (30 April 2019); https://doi.org/10.1117/12.2520674

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