Generation of non-maximally entangled states between BECs with quantum optimal control methods

Ilia D. Lazarev, Alexey N. Pyrkov

Federal Research Center of Problems of Chemical Physics and Medicinal Chemistry RAS

In the last decade, ifferent theoretical methods for entanglement generation between distant BEC qubits (macroscopic cold atomic ensembles) were proposed. However, experimental realization of such states is still challenging beside some special cases. The most theoretically investigated entangled states between macroscopic BECs are non-maximally entangled states obtained with $SzSz$ entangling Hamiltonian. With the use of such states, the protocols for quantum teleportation, remote state preporation and many others were developed for macroscopic qubits on the basis of BECs. Here we show that it is possible to obtain such states with the use of the bosonic analog of $XY$ Hamiltonian and the methods of quantum optimal control. We compare performance of this scheme in the meaning of fidelity and entanglement for different drift and control Hamiltonians. We use the well-established QuTip open python library for all calculations.

Cite this article

Lazarev, I.D., Pyrkov, A.N. Generation of Nonmaximally Entangled States between BECs with Quantum Optimal Control Methods. Russ Microelectron 52 (Suppl 1), S403–S411 (2023). https://doi.org/10.1134/S1063739723600553