PhD: Hilbert Space Engineering of Nuclear Spin Qudits

Within the framework of the fascinating world of quantum information this multidisciplinary project
which combined expertise from nuclear [1], atomic [2] and solid-state physics [3] along with
materials chemistry [4] addresses a fundamental issue concerning the possibility to modify and
eventually control hyperfine interactions which play a key role in single-molecule magnets and
quantum dots.
As an extension of the well-known two-level quantum bits (qubits), multilevel systems, the so-called
qudits, where d represents the dimension of the Hilbert space, have been predicted to reduce the
number of iterations in quantum-computation algorithms. This has been tested experimentally in
single-molecule magnets where multilevels are originated from the nuclear spins and the associated
hyperfine interactions [5]. Controlling or modifying these interactions may open the way to the
manipulation of the multilevel systems’ properties thus leading to improvements or elaboration of
new quantum-computation algorithms. In close collaboration with experimental materials chemists
we propose to establish a theoretical framework to answer this issue. This project will profit from
existing local and external collaborations, both with nuclear (atomic) physicists specialist in the
modelling of the nuclear (atomic) structure and experimentalists who synthesize, characterize and
manipulate single-molecule magnets.
[1] L. Bonneau et al., Phys. Rev. C 91, 054307 (2015).
[2] See; MCDFGME, a MultiConfiguration Dirac Fock and General Matrix Elements
program, release 2005, written by J. P. Desclaux and P. Indelicato.
[3] J. Hurst et al., Phys. Rev. B 97, 014424 (2018); Philosophical Transactions A 375, 2092 (2017).
[4] S. Thiele et al., Science 344, 1135 (2014); R. Vincent et al., Nature 488, 357 (2012).
[5] E. Moreno-Pineda et al., Inorg. Chem. 57, 9873 (2018).


Recommended applicants profile:

We are looking for a highly motivated candidate with a master degree in theoretical physics. A strong
background in quantum mechanics and computer simulations is required along with a good
knowledge in many-body techniques and molecular magnetism. Experience in atomic, nuclear and
condensed matter physics would be strongly appreciated. The candidate will have to collaborate
cross-border and in a multidisciplinary context with partners working in theoretical nuclear and
atomic physics and in materials chemistry. Proficiency in English is also required.
Interested candidates are invited to send a CV, a motivation letter, grades and ranking along with
two letters of recommendation. The candidate will be selected in agreement with the application
procedure of the QUSTEC PhD school, after an audition and a job interview.

The QUSTEC programme has received funding from the European Union’s Horizon 2020 research and innovation
programme under the Marie Skłodowska-Curie grant agreement number 847471.

Scientific Area: Quantum Nanodevices
Topic title: Hilbert Space Engineering of Nuclear Spin Qudits
Main host institution: IPCMS
Supervisor/institution: Prof. P.-A. Hervieux
Co-Supervisor/institution: Prof. M. Ruben
Mentor1/institution: Dr. G. Manfredi
Secondment institution: Univ. Strasbourg/Prof. Guido Pupillo