A quantum entanglement state involving three photons, enabling collective quantum communication.Three-photon entanglement is a quantum state in which three photons are linked in such a way that the properties of each photon cannot be described independently of the others, even when they are separated by large distances. This is a stronger and more complex form of entanglement than the more familiar two-photon (bipartite) case, and it is a key resource for collective quantum communication protocols. In such protocols, information is encoded in the correlations shared among all three photons, allowing for tasks like secret sharing, where a message can only be reconstructed if all three parties cooperate.
The theoretical concept of multi-particle entanglement was introduced by Daniel Greenberger, Michael Horne, and Anton Zeilinger in 1989, and the first experimental demonstration of three-photon entanglement was achieved by Zeilinger's group in 1999.
The entanglement is typically generated through a process called spontaneous parametric down-conversion, where a single high-energy photon is converted into two lower-energy photons inside a nonlinear crystal. To create three-photon entanglement, one of these photons is then used to generate another pair, and the resulting photons are manipulated with beam splitters and polarizers to create a state where the polarization of each photon is correlated with the others in a non-classical way. The specific state often used is the Greenberger-Horne-Zeilinger (GHZ) state, where the three photons are in a superposition of all being horizontally polarized and all being vertically polarized.
Three-photon entanglement is used in quantum secret sharing, where a cryptographic key is split among three parties, and in tests of quantum nonlocality, which probe the foundations of quantum mechanics.
In a GHZ state, the three photons can be used to demonstrate a contradiction between quantum mechanics and local realism in a single measurement, unlike the statistical arguments needed for two-photon entanglement.
| n | variable | Number of qubits — qubit number |
| |W_n⟩ | variable | W state of n qubits — quantum state |



















