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Ultracold polar molecules as qudits.

Sawant, Rahul and Blackmore, Jacob and Gregory, Philip and Mur-Petit, Jordi and Jaksch, Dieter and Aldegunde, Jesus and Hutson, Jeremy and Tarbutt, Mike and Cornish, S. L. (2020) 'Ultracold polar molecules as qudits.', New journal of physics., 22 . 013027.


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.

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Publisher 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.
Date accepted:11 December 2019
Date deposited:21 January 2020
Date of first online publication:20 January 2020
Date first made open access:21 January 2020

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