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Scattering solution of an interacting Hamiltonian for the electronic control of molecular spin qubits

Christian Bunker1, Silas Hoffman1,*, Jie-Xiang Yu2, Xiao-Guang Zhang1, and Hai-Ping Cheng1,†

  • 1Department of Physics, Center for Molecular Magnetic Quantum Materials, and Quantum Theory Project, University of Florida, Gainesville, Florida 32611, USA
  • 2School of Physical Science and Technology, Soochow University, Suzhou 215006, China

  • *silas.hoffman@ufl.edu
  • †hping@ufl.edu
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Phys. Rev. A 107, 042423 – Published 17 April, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.042423

Abstract

We theoretically study how a scattered electron can entangle molecular spin qubits (MSQs). This requires solving the inelastic transport of a single electron through a scattering region described by a tight-binding interacting Hamiltonian. We accomplish this using a Green's-function solution. We can model realistic physical implementations of MSQs by parametrizing the tight-binding Hamiltonian with first-principles descriptions of magnetic anisotropy and exchange interactions. We find that, for two-MSQ systems with inversion symmetry, projective measurement of the spin degree of freedom of the scattered electron offers probabilistic control of the degree of entanglement between the MSQs.

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Phys. Rev. A 107, 042423– Published 17 April, 2023
  • Received 7 November 2022
  • Accepted 16 March 2023
Article part of CHORUS
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