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
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’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.
1 aAlbert, Victor, V.1 aCovey, Jacob, P.1 aPreskill, John uhttps://arxiv.org/abs/1911.00099