
A stable isotope of carbon with a nuclear spin, used as the partner in the entangled pair.Carbon-13 is a stable isotope of carbon whose nucleus contains six protons and seven neutrons, making it slightly heavier than the more common carbon-12. Its nuclear spin — a quantum property of the nucleus — makes it magnetically active, which is why it is a key player in nuclear magnetic resonance (NMR) and in emerging quantum technologies. In the context of quantum entanglement, carbon-13 atoms can serve as one half of an entangled pair, often coupled to electron spins in diamond or other materials, enabling the transfer of quantum information between light and matter.
Carbon-13 was first identified in 1940 by Alfred Nier, who used a mass spectrometer to separate it from carbon-12. Its use in NMR began in the 1950s, following the discovery of the chemical shift by William Proctor and others.
The nucleus of carbon-13 has a net spin of 1/2, which behaves like a tiny bar magnet. When placed in a magnetic field, it can occupy two energy states (spin up or spin down). By applying precisely tuned radio-frequency pulses, researchers can manipulate these states and entangle the nuclear spin with the spin of an electron in a nearby defect or with a photon. The entanglement arises because the combined quantum state of the pair cannot be described independently — measuring one instantly determines the other, regardless of distance.
Carbon-13 is used in NMR spectroscopy and MRI for medical diagnostics, and in quantum computing as a stable qubit carrier, particularly in diamond-based quantum processors where it couples to nitrogen-vacancy centers.
Carbon-13 makes up about 1.1% of all natural carbon, and its abundance varies slightly depending on the source, which allows scientists to trace the origins of organic molecules in space and on Earth.









