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Ultracold polar molecules as qudits

Sawant, Rahul; Blackmore, Jacob; Gregory, Philip; Mur-Petit, Jordi; Jaksch, Dieter; Aldegunde, Jesus; Hutson, Jeremy; Tarbutt, Mike; Cornish, S.L.

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Authors

Rahul Sawant

Jacob Blackmore

Philip Gregory

Jordi Mur-Petit

Dieter Jaksch

Jesus Aldegunde

Mike Tarbutt



Abstract

We discuss how the internal structure of ultracold molecules, trapped in the motional ground state of optical tweezers, can be used to implement qudits. We explore the rotational, fine and hyperfine structure of $^{40}$Ca$^{19}$F and $^{87}$Rb$^{133}$Cs, which are examples of molecules with $^2\Sigma$ and $^1\Sigma$ electronic ground states, respectively. In each case we identify a subset of levels within a single rotational manifold suitable to implement a 4-level qudit. Quantum gates can be implemented using two-photon microwave transitions via levels in a neighboring rotational manifold. We discuss limitations to the usefulness of molecular qudits, arising from off-resonant excitation and decoherence. As an example, we present a protocol for using a molecular qudit of dimension $d=4$ to perform the Deutsch algorithm.

Citation

Sawant, R., Blackmore, J., Gregory, P., Mur-Petit, J., Jaksch, D., Aldegunde, J., …Cornish, S. (2020). Ultracold polar molecules as qudits. New Journal of Physics, 22, Article 013027. https://doi.org/10.1088/1367-2630/ab60f4

Journal Article Type Article
Acceptance Date Dec 11, 2019
Online Publication Date Jan 20, 2020
Publication Date Jan 31, 2020
Deposit Date Dec 12, 2019
Publicly Available Date Jan 21, 2020
Journal New Journal of Physics
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 22
Article Number 013027
DOI https://doi.org/10.1088/1367-2630/ab60f4
Related Public URLs https://arxiv.org/abs/1909.07484

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.





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