IQIM Postdoctoral and Graduate Student Seminar

Abstract: We construct quantum error-correcting codes that embed a finite-dimensional code space in the
infinite-dimensional Hilbert state 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 nonabelian compact Lie groups and develop
orthogonality relations for coset spaces, laying the groundwork for quantum information processing
with exotic configuration spaces.