Our goal is to apply Quantum Information Processing techniques
to improve neutron interferometry contrast by making our final
measurement insensitive to crystal imperfections One approach to
achieve this is to employ the Power of One Qubit protocol
initially outlined by Knill and Laflamme. This protocol enables
us to detect the neutron phase via the neutron spin degree of
freedom, which is insensitive to surface defects and blade
imperfections. Thus, by entangling the path and spin degrees of
freedom, we propose to measure the path-dependent phase
difference using the neutron spin. The key step is to introduce
an entangling gate that is independent of the blades and
dependent on the magnetic properties of a material placed in one
path of the neutron interferometer. This is accomplished by
rotating the neutron spin in one beam path away from the
polarization direction, allowing its magnetization to process
about a material's internal magnetization, and then rotating it
back to the polarization direction. As a