phenomenon

three photon entanglement

A quantum entanglement state involving three photons, enabling collective quantum communication.
51 related articles · 1 formulas

Description

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.

History

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.

How it works

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.

In practice

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.

Fun fact

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.

Concept graph →

Formulas

$$|W_n\rangle = \frac{1}{\sqrt{n}} (|10\ldots0\rangle + |010\ldots0\rangle + \ldots + |0\ldots01\rangle)$$
Entangled quantum state with single excitation distributed.
What is in the formula
nvariableNumber of qubits — qubit number
|W_n⟩variableW state of n qubits — quantum state
|w_n\rangle=\frac{1}{\sqrt{n}}(|10\ldots0\rangle+|010\ldots0\rangle+\ldots+|00\ldots01\rangle) · 2505.01863v1

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