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Quantum Simulation

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

arXiv
Authors: Yi-Hao Kang, Zhi-Cheng Shi, Jie Song, Yan Xia

Year

2020

Paper ID

20575

Status

Preprint

Abstract Read

~2 min

Abstract Words

88

Citations

N/A

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.

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  • A protocol is proposed to generate singlet states of three logical qubits constructed by pairs of spins.

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