English

Ultracold polar molecules as qudits

Quantum Physics 2019-12-24 v3 Atomic Physics

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^{40}Ca19^{19}F and 87^{87}Rb133^{133}Cs, which are examples of molecules with 2Σ^2\Sigma and 1Σ^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=4d=4 to perform the Deutsch algorithm.

Keywords

Cite

@article{arxiv.1909.07484,
  title  = {Ultracold polar molecules as qudits},
  author = {Rahul Sawant and Jacob A Blackmore and Philip D Gregory and Jordi Mur-Petit and Dieter Jaksch and Jesús Aldegunde and Jeremy M Hutson and M R Tarbutt and Simon L Cornish},
  journal= {arXiv preprint arXiv:1909.07484},
  year   = {2019}
}
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