Many proposed quantum information processing schemes rely on electron spin as the basic (quantum) unit of information. For this approach, careful preparation and read-out of the electron spin state, which can be done optically, are essential operations. Since coherence of the spin state is a manifestation of its quantum nature, both the preparation and read-out should be spin coherent. The traditional technique to measure spin coherence, based on the magneto-optical Kerr effect, measures spin population by the rotation of the reflected light polarization, but it requires an extra step of spin manipulation to project a measurement onto a fixed basis which is defined by the direction of the probe light beam. Kosaka et al. have developed a more straightforward and general scheme still based on Kerr rotation but modified so that a spin projection measurement can be done on an arbitrary set of basis states. This allows them to perform a direct tomographic measurement of electron spin precession in a semiconductor structure. The authors propose that the developed scheme offers a universal tool for performing preparation and read-out of a spin quantum state in a solid. A more straightforward and general scheme to measure electron spin coherence based on Kerr rotation but modified so that a spin projection measurement can be done on an arbitrary set of basis states has been developed. This allows a direct tomographic measurement of electron spin precession in a semiconductor structure, and offers a universal tool for performing preparation and read-out of a spin quantum state in a solid. Spin is a fundamental property of electrons, with an important role in information storage1,2,3,4. For spin-based quantum information technology, preparation and read-out of the electron spin state are essential functions5,6,7,8,9,10,11,12,13. Coherence of the spin state is a manifestation of its quantum nature, so both the preparation and read-out should be spin-coherent. However, the traditional spin measurement technique based on Kerr rotation, which measures spin population using the rotation of the reflected light polarization that is due to the magneto-optical Kerr effect, requires an extra step of spin manipulation or precession to infer the spin coherence14,15,16,17,18,19,20. Here we describe a technique that generalizes the traditional Kerr rotation approach to enable us to measure the electron spin coherence directly without needing to manipulate the spin dynamics, which allows for a spin projection measurement on an arbitrary set of basis states. Because this technique enables spin state tomography, we call it tomographic Kerr rotation. We demonstrate that the polarization coherence of light is transferred to the spin coherence of electrons, and confirm this by applying the tomographic Kerr rotation method to semiconductor quantum wells with precessing and non-precessing electrons. Spin state transfer and tomography offers a tool for performing basis-independent preparation and read-out of a spin quantum state in a solid.