Encoding a qubit in a molecule

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.

A path integral ground state replica trick approach for the computation of entanglement entropy of dipolar linear rotors

“…As a longer-term objective, we hope that this knowledge will open the door to the characterization and implementation of quantum information devices based on trapped polar molecules 34 and their rotational degrees of freedom. [35][36][37][38] do this for N = 4 and g = 1 using numerical matrix multiplication (NMM), where the path is computed from a product of explicitly constructed matrices.…”