



01214nas a2200145   4500008004100000245004500041210004500086260001300131490000700144520081700151100002300968700002100991700001901012856003701031       2020                        eng d00aRobust Encoding of a Qubit in a Molecule0 aRobust Encoding of a Qubit in a Molecule  c9/1/20200 v103 a<p>We construct quantum error-correcting codes that embed a finite-dimensional code space in the infinite-dimensional Hilbert space of rotational states of a rigid body. These codes, which protect against both drift in the body&rsquo;s orientation and small changes in its angular momentum, may be well suited for robust storage and coherent processing of quantum information using rotational states of a polyatomic molecule. Extensions of such codes to rigid bodies with a symmetry axis are compatible with rotational states of diatomic molecules as well as nuclear states of molecules and atoms. We also describe codes associated with general non-Abelian groups and develop orthogonality relations for coset spaces, laying the groundwork for quantum information processing with exotic configuration spaces.</p>1 aAlbert, Victor, V.1 aCovey, Jacob, P.1 aPreskill, John  uhttps://arxiv.org/abs/1911.00099