Robust generation of logical qubit singlet states with reverse engineering and optimal control with spin qubits

TL;DR

This paper presents a robust protocol for generating logical qubit singlet states in spin systems using reverse engineering and optimal control, enhancing robustness against errors and decoherence.

Contribution

It introduces a novel method combining invariant-based reverse engineering and optimal control to generate entangled logical qubit states with improved robustness.

Findings

Protocol achieves high fidelity in singlet state generation.

Systematic error compensation improves robustness.

Numerical simulations show resistance to decoherence.

Abstract

A protocol is proposed to generate singlet states of three logical qubits constructed by pairs of spins. Single and multiple operations of logical qubits are studied for the construction of an effective Hamiltonian, with which robust control fields are derived with invariant-based reverse engineering and optimal control. Moreover, systematic errors are further compensated by periodic modulation for better robustness. Furthermore, resistance to decoherence of the protocol is also shown with numerical simulations. Therefore, the protocol may provide useful perspectives for generations of logical qubit entanglement in spin systems.